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Update utils/heat_transfer.py
Browse files- utils/heat_transfer.py +158 -365
utils/heat_transfer.py
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"""
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Heat transfer calculation module for HVAC Load Calculator.
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This module
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Sections 18.3-18.4.
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"""
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from typing import Optional, Tuple
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import math
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import numpy as np
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from utils.psychrometrics import Psychrometrics
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class SolarCalculations:
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"""Class for solar geometry and
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def __init__(self):
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"""Initialize solar calculations with cached values."""
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self._declination_cache = {} # Cache for declination by day of year
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def validate_angle(self, angle: float, name: str, min_val: float, max_val: float) -> None:
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"""
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Validate
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Args:
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angle: Angle in degrees
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name: Name of the angle
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min_val: Minimum allowed value
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max_val: Maximum allowed value
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ValueError: If angle is out of range
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"""
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if not min_val <= angle <= max_val:
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raise ValueError(f"{name} {angle}°
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def solar_declination(self, day_of_year: int) -> float:
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"""
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Calculate solar declination angle
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Args:
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day_of_year: Day of the year (1-365)
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Returns:
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"""
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if not 1 <= day_of_year <= 365:
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raise ValueError(
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if day_of_year in self._declination_cache:
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return self._declination_cache[day_of_year]
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declination = 23.45 * math.sin(math.radians(360 * (284 + day_of_year) / 365))
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self.
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return declination
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def solar_hour_angle(self, hour: float) -> float:
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"""
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Calculate solar hour angle
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Args:
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hour: Hour of the day (0-23)
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Returns:
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"""
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if not 0 <= hour <=
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raise ValueError(
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def solar_altitude(self, latitude: float, declination: float, hour_angle: float) -> float:
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"""
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Calculate solar altitude angle.
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Args:
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latitude: Latitude in degrees
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declination:
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hour_angle:
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Returns:
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"""
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self.validate_angle(latitude, "Latitude", -90, 90)
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self.validate_angle(declination, "Declination", -
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self.validate_angle(hour_angle, "Hour angle", -180, 180)
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def solar_azimuth(self, latitude: float, declination: float, hour_angle: float, altitude: float) -> float:
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"""
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Calculate solar azimuth angle.
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Args:
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latitude: Latitude in degrees
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declination:
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hour_angle:
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altitude:
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Returns:
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"""
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self.validate_angle(latitude, "Latitude", -90, 90)
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self.validate_angle(declination, "Declination", -
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self.validate_angle(hour_angle, "Hour angle", -
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self.validate_angle(altitude, "Altitude", 0, 90)
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alt_rad = math.radians(altitude)
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cos_az = (math.sin(alt_rad) * math.sin(lat_rad) - math.sin(dec_rad)) / (math.cos(alt_rad) * math.cos(lat_rad))
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cos_az = max(-1, min(1, cos_az))
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azimuth = math.degrees(math.acos(cos_az))
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if hour_angle > 0:
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def incident_angle(self, surface_tilt: float, surface_azimuth: float,
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solar_altitude: float, solar_azimuth: float) -> float:
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"""
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Calculate angle of incidence for a surface.
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Args:
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surface_tilt: Surface tilt angle in degrees (0=horizontal, 90=vertical)
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surface_azimuth: Surface azimuth angle in degrees
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solar_altitude: Solar altitude angle in degrees
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solar_azimuth: Solar azimuth angle in degrees
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Returns:
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Angle of incidence in degrees
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"""
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self.validate_angle(surface_tilt, "Surface tilt", 0, 180)
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self.validate_angle(surface_azimuth, "Surface azimuth", 0, 360)
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self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
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self.validate_angle(solar_azimuth, "Solar azimuth", 0, 360)
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tilt_rad = math.radians(surface_tilt)
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az_diff_rad = math.radians(solar_azimuth - surface_azimuth)
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alt_rad = math.radians(solar_altitude)
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cos_theta = (math.sin(alt_rad) * math.cos(tilt_rad) +
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math.cos(alt_rad) * math.sin(tilt_rad) * math.cos(az_diff_rad))
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cos_theta = max(0, min(1, cos_theta))
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return math.degrees(math.acos(cos_theta))
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def direct_normal_irradiance(self, solar_altitude: float) -> float:
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"""
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Calculate direct normal irradiance.
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Returns:
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Direct normal irradiance in W/m²
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"""
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self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
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if solar_altitude <= 0:
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return 0
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air_mass = 1 / math.cos(math.radians(90 - solar_altitude))
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dni = 1367 * (1 - 0.14 * air_mass) # Simplified model
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return max(0, dni)
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def diffuse_horizontal_irradiance(self, dni: float, solar_altitude: float) -> float:
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"""
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Calculate diffuse horizontal irradiance.
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Args:
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dni: Direct normal irradiance in W/m²
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solar_altitude: Solar altitude angle in degrees
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Returns:
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Diffuse horizontal irradiance in W/m²
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"""
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self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
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if solar_altitude <= 0:
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return 0
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return 0.1 * dni # Simplified model
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def irradiance_on_surface(self, dni: float, dhi: float, incident_angle: float, surface_tilt: float) -> float:
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"""
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Calculate total irradiance on a tilted surface.
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Args:
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dni: Direct normal irradiance in W/m²
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dhi: Diffuse horizontal irradiance in W/m²
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incident_angle: Angle of incidence in degrees
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surface_tilt: Surface tilt angle in degrees
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Returns:
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Total irradiance in W/m²
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"""
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self.validate_angle(incident_angle, "Incident angle", 0, 90)
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self.validate_angle(surface_tilt, "Surface tilt", 0, 180)
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if dni < 0 or dhi < 0:
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raise ValueError("Irradiance values cannot be negative")
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direct = dni * math.cos(math.radians(incident_angle))
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diffuse = dhi * (1 + math.cos(math.radians(surface_tilt))) / 2
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return max(0, direct + diffuse)
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class HeatTransferCalculations:
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"""Class for heat transfer calculations."""
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def __init__(self):
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"""Initialize heat transfer calculations with solar and psychrometric calculations."""
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self.solar = SolarCalculations()
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self.psychrometrics = Psychrometrics()
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def validate_inputs(self, temp: float, area: float = 0.0, flow_rate: float = 0.0) -> None:
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"""
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Args:
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temp: Temperature in °C
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area: Area in m²
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flow_rate: Flow rate in m³/s
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Raises:
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ValueError: If inputs are out of acceptable ranges
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"""
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raise ValueError(f"Area {area}m² cannot be negative")
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if flow_rate < 0:
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raise ValueError(f"Flow rate {flow_rate}m³/s cannot be negative")
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def conduction_heat_transfer(self, u_value: float, area: float, delta_t: float) -> float:
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"""
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Calculate heat transfer
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.1.
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Args:
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u_value:
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area:
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delta_t: Temperature difference in °C
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Returns:
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Heat transfer rate in W
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"""
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if u_value < 0:
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raise ValueError(f"U-value {u_value} W/(m²·K) cannot be negative")
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self.validate_inputs(delta_t, area)
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return u_value * area * delta_t
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def convection_heat_transfer(self, h: float, area: float, delta_t: float) -> float:
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"""
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Calculate heat transfer by convection.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Section 18.3.
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Args:
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h: Convective heat transfer coefficient in W/(m²·K)
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area: Surface area in m²
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delta_t: Temperature difference in °C
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Returns:
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Heat transfer rate in W
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"""
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if
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raise ValueError(
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self.validate_inputs(delta_t, area)
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return h * area * delta_t
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def radiation_heat_transfer(self, emissivity: float, area: float, t_surface: float, t_surroundings: float) -> float:
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"""
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Calculate heat transfer by radiation using Stefan-Boltzmann law.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Section 18.3.
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Args:
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emissivity: Surface emissivity (0-1)
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area: Surface area in m²
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t_surface: Surface temperature in °C
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t_surroundings: Surroundings temperature in °C
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Returns:
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Heat transfer rate in W
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"""
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if not 0 <= emissivity <= 1:
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raise ValueError(f"Emissivity {emissivity} must be between 0 and 1")
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self.validate_inputs(t_surface, area)
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self.validate_inputs(t_surroundings)
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sigma = 5.67e-8 # Stefan-Boltzmann constant in W/(m²·K⁴)
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t_s = t_surface + 273.15
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t_sur = t_surroundings + 273.15
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return emissivity * sigma * area * (t_s**4 - t_sur**4)
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def thermal_lag_factor(self, thermal_mass: float, time_constant: float, time_step: float) -> float:
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"""
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Calculate thermal lag factor for transient heat transfer.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Section 18.5.
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Returns:
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Thermal lag factor (0-1)
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"""
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if thermal_mass < 0:
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raise ValueError(f"Thermal mass {thermal_mass} J/K cannot be negative")
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if time_constant <= 0:
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raise ValueError(f"Time constant {time_constant} hours must be positive")
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if time_step < 0:
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raise ValueError(f"Time step {time_step} hours cannot be negative")
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return math.exp(-time_step / time_constant)
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def infiltration_heat_transfer(self, flow_rate: float, delta_t: float, t_db: float, rh: float, p_atm: float = 101325) -> float:
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"""
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Calculate sensible heat transfer due to infiltration or ventilation.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.5.
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Args:
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flow_rate: Air flow rate in m³/s
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delta_t: Temperature difference in °C
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t_db: Dry-bulb temperature
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rh: Relative humidity in % (
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p_atm: Atmospheric pressure in Pa
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Returns:
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Sensible heat transfer rate in W
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"""
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w = self.psychrometrics.humidity_ratio(t_db, rh, p_atm)
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rho = self.psychrometrics.density(t_db, w, p_atm)
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c_p = 1006 +
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"""
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Calculate latent heat transfer due to infiltration or ventilation.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.6.
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Args:
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flow_rate: Air flow rate in m³/s
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delta_w: Humidity ratio difference in kg/kg
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t_db: Dry-bulb temperature
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rh: Relative humidity in % (
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p_atm: Atmospheric pressure in Pa
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Returns:
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Latent heat transfer rate in W
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"""
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w = self.psychrometrics.humidity_ratio(t_db, rh, p_atm)
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rho = self.psychrometrics.density(t_db, w, p_atm)
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h_fg = 2501000 + 1840 * t_db # Latent heat of vaporization in J/kg
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"""
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Calculate pressure difference due to wind.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16,
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Args:
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wind_speed: Wind speed in m/s
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wind_coefficient: Wind pressure coefficient
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Returns:
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Pressure difference in Pa
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"""
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if wind_speed < 0:
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raise ValueError(
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if not 0 <= wind_coefficient <= 1:
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raise ValueError(f"Wind coefficient {wind_coefficient} must be between 0 and 1")
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"""
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Calculate pressure difference due to stack effect.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16,
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Args:
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height: Height
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Returns:
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Pressure difference in Pa
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"""
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if height < 0:
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raise ValueError(
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if indoor_temp <= 0 or outdoor_temp <= 0:
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raise ValueError("Temperatures must be positive in Kelvin")
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g = 9.81 # Gravitational acceleration in m/s²
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def combined_pressure_difference(self, wind_pd: float, stack_pd: float) -> float:
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"""
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Calculate combined pressure difference from wind and stack effects.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16, Section 16.
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Args:
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wind_pd: Wind pressure difference in Pa
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Returns:
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Combined pressure difference in Pa
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"""
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def crack_method_infiltration(self, crack_length: float, coefficient: float,
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pressure_difference: float) -> float:
|
| 423 |
"""
|
| 424 |
Calculate infiltration flow rate using crack method.
|
| 425 |
-
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16,
|
| 426 |
|
| 427 |
Args:
|
| 428 |
-
crack_length:
|
| 429 |
-
|
| 430 |
-
|
| 431 |
|
| 432 |
Returns:
|
| 433 |
Infiltration flow rate in m³/s
|
| 434 |
"""
|
| 435 |
-
if crack_length < 0:
|
| 436 |
-
raise ValueError(
|
| 437 |
-
if coefficient < 0:
|
| 438 |
-
raise ValueError(f"Coefficient {coefficient} cannot be negative")
|
| 439 |
-
if pressure_difference < 0:
|
| 440 |
-
raise ValueError(f"Pressure difference {pressure_difference} Pa cannot be negative")
|
| 441 |
-
|
| 442 |
-
n = 0.65 # Flow exponent
|
| 443 |
-
return coefficient * crack_length * pressure_difference**n
|
| 444 |
-
|
| 445 |
-
def sol_air_temperature(self, outdoor_temp: float, solar_irradiance: float,
|
| 446 |
-
surface_absorptivity: float, surface_resistance: float) -> float:
|
| 447 |
-
"""
|
| 448 |
-
Calculate sol-air temperature for a surface.
|
| 449 |
-
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Section 18.4.
|
| 450 |
-
|
| 451 |
-
Args:
|
| 452 |
-
outdoor_temp: Outdoor air temperature in °C
|
| 453 |
-
solar_irradiance: Solar irradiance on surface in W/m²
|
| 454 |
-
surface_absorptivity: Surface absorptivity (0-1)
|
| 455 |
-
surface_resistance: Surface resistance in m²·K/W
|
| 456 |
-
|
| 457 |
-
Returns:
|
| 458 |
-
Sol-air temperature in °C
|
| 459 |
-
"""
|
| 460 |
-
self.validate_inputs(outdoor_temp)
|
| 461 |
-
if solar_irradiance < 0:
|
| 462 |
-
raise ValueError(f"Solar irradiance {solar_irradiance} W/m² cannot be negative")
|
| 463 |
-
if not 0 <= surface_absorptivity <= 1:
|
| 464 |
-
raise ValueError(f"Surface absorptivity {surface_absorptivity} must be between 0 and 1")
|
| 465 |
-
if surface_resistance < 0:
|
| 466 |
-
raise ValueError(f"Surface resistance {surface_resistance} m²·K/W cannot be negative")
|
| 467 |
|
| 468 |
-
|
| 469 |
-
|
| 470 |
-
|
| 471 |
-
|
| 472 |
-
|
| 473 |
-
shading_coefficient: float = 1.0) -> float:
|
| 474 |
-
"""
|
| 475 |
-
Calculate solar heat gain through a surface.
|
| 476 |
-
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Section 18.4.
|
| 477 |
-
|
| 478 |
-
Args:
|
| 479 |
-
irradiance: Solar irradiance on surface in W/m²
|
| 480 |
-
area: Surface area in m²
|
| 481 |
-
shgc: Solar heat gain coefficient (0-1)
|
| 482 |
-
shading_coefficient: Shading coefficient (0-1)
|
| 483 |
-
|
| 484 |
-
Returns:
|
| 485 |
-
Solar heat gain in W
|
| 486 |
-
"""
|
| 487 |
-
self.validate_inputs(0, area)
|
| 488 |
-
if irradiance < 0:
|
| 489 |
-
raise ValueError(f"Irradiance {irradiance} W/m² cannot be negative")
|
| 490 |
-
if not 0 <= shgc <= 1:
|
| 491 |
-
raise ValueError(f"SHGC {shgc} must be between 0 and 1")
|
| 492 |
-
if not 0 <= shading_coefficient <= 1:
|
| 493 |
-
raise ValueError(f"Shading coefficient {shading_coefficient} must be between 0 and 1")
|
| 494 |
-
|
| 495 |
-
return irradiance * area * shgc * shading_coefficient
|
| 496 |
|
| 497 |
|
| 498 |
-
# Create a singleton instance
|
| 499 |
-
heat_transfer_calculator = HeatTransferCalculations()
|
| 500 |
-
|
| 501 |
# Example usage
|
| 502 |
if __name__ == "__main__":
|
| 503 |
-
|
| 504 |
-
|
| 505 |
-
day_of_year = 204
|
| 506 |
-
hour = 12.0
|
| 507 |
-
|
| 508 |
-
declination = heat_transfer_calculator.solar.solar_declination(day_of_year)
|
| 509 |
-
hour_angle = heat_transfer_calculator.solar.solar_hour_angle(hour)
|
| 510 |
-
altitude = heat_transfer_calculator.solar.solar_altitude(latitude, declination, hour_angle)
|
| 511 |
-
azimuth = heat_transfer_calculator.solar.solar_azimuth(latitude, declination, hour_angle, altitude)
|
| 512 |
-
|
| 513 |
-
print(f"Solar Declination: {declination:.2f}°")
|
| 514 |
-
print(f"Solar Hour Angle: {hour_angle:.2f}°")
|
| 515 |
-
print(f"Solar Altitude: {altitude:.2f}°")
|
| 516 |
-
print(f"Solar Azimuth: {azimuth:.2f}°")
|
| 517 |
|
| 518 |
-
# Example
|
| 519 |
u_value = 0.5 # W/(m²·K)
|
| 520 |
area = 20.0 # m²
|
| 521 |
-
delta_t =
|
| 522 |
-
|
| 523 |
-
|
| 524 |
-
conduction = heat_transfer_calculator.conduction_heat_transfer(u_value, area, delta_t)
|
| 525 |
-
print(f"Conduction Heat Transfer: {conduction:.2f} W")
|
| 526 |
|
| 527 |
# Example infiltration calculation
|
| 528 |
flow_rate = 0.05 # m³/s
|
| 529 |
-
|
| 530 |
-
|
|
|
|
|
|
|
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|
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|
| 531 |
|
| 532 |
-
# Example
|
| 533 |
-
|
| 534 |
-
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|
| 1 |
"""
|
| 2 |
Heat transfer calculation module for HVAC Load Calculator.
|
| 3 |
+
This module implements heat transfer calculations for conduction, infiltration, and solar effects.
|
| 4 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapters 16 and 18.
|
|
|
|
| 5 |
"""
|
| 6 |
|
| 7 |
+
from typing import Dict, List, Any, Optional, Tuple
|
| 8 |
import math
|
| 9 |
import numpy as np
|
| 10 |
+
import logging
|
| 11 |
+
from dataclasses import dataclass
|
| 12 |
+
|
| 13 |
+
# Configure logging
|
| 14 |
+
logging.basicConfig(level=logging.INFO)
|
| 15 |
+
logger = logging.getLogger(__name__)
|
| 16 |
+
|
| 17 |
+
# Import utility modules
|
| 18 |
from utils.psychrometrics import Psychrometrics
|
| 19 |
|
| 20 |
+
# Import data modules
|
| 21 |
+
from data.building_components import Orientation
|
| 22 |
+
|
| 23 |
|
| 24 |
class SolarCalculations:
|
| 25 |
+
"""Class for solar geometry and radiation calculations."""
|
|
|
|
|
|
|
|
|
|
|
|
|
| 26 |
|
| 27 |
def validate_angle(self, angle: float, name: str, min_val: float, max_val: float) -> None:
|
| 28 |
"""
|
| 29 |
+
Validate angle inputs for solar calculations.
|
| 30 |
|
| 31 |
Args:
|
| 32 |
angle: Angle in degrees
|
| 33 |
+
name: Name of the angle
|
| 34 |
min_val: Minimum allowed value
|
| 35 |
max_val: Maximum allowed value
|
| 36 |
|
|
|
|
| 38 |
ValueError: If angle is out of range
|
| 39 |
"""
|
| 40 |
if not min_val <= angle <= max_val:
|
| 41 |
+
raise ValueError(f"{name} {angle}° must be between {min_val}° and {max_val}°")
|
| 42 |
+
|
| 43 |
def solar_declination(self, day_of_year: int) -> float:
|
| 44 |
"""
|
| 45 |
+
Calculate solar declination angle.
|
| 46 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 14, Equation 14.6.
|
| 47 |
|
| 48 |
Args:
|
| 49 |
day_of_year: Day of the year (1-365)
|
| 50 |
|
| 51 |
Returns:
|
| 52 |
+
Declination angle in degrees
|
| 53 |
"""
|
| 54 |
if not 1 <= day_of_year <= 365:
|
| 55 |
+
raise ValueError("Day of year must be between 1 and 365")
|
|
|
|
|
|
|
|
|
|
| 56 |
|
| 57 |
declination = 23.45 * math.sin(math.radians(360 * (284 + day_of_year) / 365))
|
| 58 |
+
self.validate_angle(declination, "Declination angle", -23.45, 23.45)
|
| 59 |
return declination
|
| 60 |
+
|
| 61 |
def solar_hour_angle(self, hour: float) -> float:
|
| 62 |
"""
|
| 63 |
+
Calculate solar hour angle.
|
| 64 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 14, Equation 14.7.
|
| 65 |
|
| 66 |
Args:
|
| 67 |
hour: Hour of the day (0-23)
|
| 68 |
|
| 69 |
Returns:
|
| 70 |
+
Hour angle in degrees
|
| 71 |
"""
|
| 72 |
+
if not 0 <= hour <= 24:
|
| 73 |
+
raise ValueError("Hour must be between 0 and 24")
|
| 74 |
+
|
| 75 |
+
hour_angle = (hour - 12) * 15
|
| 76 |
+
self.validate_angle(hour_angle, "Hour angle", -180, 180)
|
| 77 |
+
return hour_angle
|
| 78 |
+
|
| 79 |
def solar_altitude(self, latitude: float, declination: float, hour_angle: float) -> float:
|
| 80 |
"""
|
| 81 |
Calculate solar altitude angle.
|
| 82 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 14, Equation 14.8.
|
| 83 |
|
| 84 |
Args:
|
| 85 |
latitude: Latitude in degrees
|
| 86 |
+
declination: Declination angle in degrees
|
| 87 |
+
hour_angle: Hour angle in degrees
|
| 88 |
|
| 89 |
Returns:
|
| 90 |
+
Altitude angle in degrees
|
| 91 |
"""
|
| 92 |
self.validate_angle(latitude, "Latitude", -90, 90)
|
| 93 |
+
self.validate_angle(declination, "Declination", -23.45, 23.45)
|
| 94 |
self.validate_angle(hour_angle, "Hour angle", -180, 180)
|
| 95 |
|
| 96 |
+
sin_beta = (math.sin(math.radians(latitude)) * math.sin(math.radians(declination)) +
|
| 97 |
+
math.cos(math.radians(latitude)) * math.cos(math.radians(declination)) *
|
| 98 |
+
math.cos(math.radians(hour_angle)))
|
| 99 |
+
beta = math.degrees(math.asin(sin_beta))
|
| 100 |
+
self.validate_angle(beta, "Altitude angle", 0, 90)
|
| 101 |
+
return beta
|
| 102 |
+
|
|
|
|
| 103 |
def solar_azimuth(self, latitude: float, declination: float, hour_angle: float, altitude: float) -> float:
|
| 104 |
"""
|
| 105 |
Calculate solar azimuth angle.
|
| 106 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 14, Equation 14.9.
|
| 107 |
|
| 108 |
Args:
|
| 109 |
latitude: Latitude in degrees
|
| 110 |
+
declination: Declination angle in degrees
|
| 111 |
+
hour_angle: Hour angle in degrees
|
| 112 |
+
altitude: Altitude angle in degrees
|
| 113 |
|
| 114 |
Returns:
|
| 115 |
+
Azimuth angle in degrees
|
| 116 |
"""
|
| 117 |
self.validate_angle(latitude, "Latitude", -90, 90)
|
| 118 |
+
self.validate_angle(declination, "Declination", -23.45, 23.45)
|
| 119 |
+
self.validate_angle(hour_angle, "Hour angle", -180, 180)
|
| 120 |
self.validate_angle(altitude, "Altitude", 0, 90)
|
| 121 |
|
| 122 |
+
sin_phi = (math.cos(math.radians(declination)) * math.sin(math.radians(hour_angle)) /
|
| 123 |
+
math.cos(math.radians(altitude)))
|
| 124 |
+
phi = math.degrees(math.asin(sin_phi))
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 125 |
|
| 126 |
if hour_angle > 0:
|
| 127 |
+
phi = 180 - phi
|
| 128 |
+
elif hour_angle < 0:
|
| 129 |
+
phi = -180 - phi
|
|
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|
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|
| 130 |
|
| 131 |
+
self.validate_angle(phi, "Azimuth angle", -180, 180)
|
| 132 |
+
return phi
|
|
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|
| 133 |
|
| 134 |
|
| 135 |
class HeatTransferCalculations:
|
| 136 |
"""Class for heat transfer calculations."""
|
| 137 |
|
| 138 |
def __init__(self):
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 139 |
"""
|
| 140 |
+
Initialize heat transfer calculations with psychrometrics and solar calculations.
|
| 141 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16.
|
|
|
|
|
|
|
|
|
|
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|
| 142 |
"""
|
| 143 |
+
self.psychrometrics = Psychrometrics()
|
| 144 |
+
self.solar = SolarCalculations()
|
| 145 |
+
self.debug_mode = False
|
|
|
|
|
|
|
|
|
|
| 146 |
|
| 147 |
def conduction_heat_transfer(self, u_value: float, area: float, delta_t: float) -> float:
|
| 148 |
"""
|
| 149 |
+
Calculate heat transfer via conduction.
|
| 150 |
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.1.
|
| 151 |
|
| 152 |
Args:
|
| 153 |
+
u_value: U-value of the component in W/(m²·K)
|
| 154 |
+
area: Area of the component in m²
|
|
|
|
|
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|
|
|
|
|
|
| 155 |
delta_t: Temperature difference in °C
|
| 156 |
|
| 157 |
Returns:
|
| 158 |
Heat transfer rate in W
|
| 159 |
"""
|
| 160 |
+
if u_value < 0 or area < 0:
|
| 161 |
+
raise ValueError("U-value and area must be non-negative")
|
|
|
|
|
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|
| 162 |
|
| 163 |
+
q = u_value * area * delta_t
|
| 164 |
+
return q
|
| 165 |
+
|
| 166 |
+
def infiltration_heat_transfer(self, flow_rate: float, delta_t: float,
|
| 167 |
+
t_db: float, rh: float, p_atm: float = 101325) -> float:
|
|
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|
| 168 |
"""
|
| 169 |
Calculate sensible heat transfer due to infiltration or ventilation.
|
| 170 |
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.5.
|
|
|
|
| 172 |
Args:
|
| 173 |
flow_rate: Air flow rate in m³/s
|
| 174 |
delta_t: Temperature difference in °C
|
| 175 |
+
t_db: Dry-bulb temperature for air properties in °C
|
| 176 |
+
rh: Relative humidity in % (0-100)
|
| 177 |
+
p_atm: Atmospheric pressure in Pa
|
| 178 |
|
| 179 |
Returns:
|
| 180 |
Sensible heat transfer rate in W
|
| 181 |
"""
|
| 182 |
+
if flow_rate < 0:
|
| 183 |
+
raise ValueError("Flow rate cannot be negative")
|
| 184 |
+
|
| 185 |
+
# Calculate air density and specific heat using psychrometrics
|
| 186 |
w = self.psychrometrics.humidity_ratio(t_db, rh, p_atm)
|
| 187 |
rho = self.psychrometrics.density(t_db, w, p_atm)
|
| 188 |
+
c_p = 1006 + 1860 * w # Specific heat of moist air in J/(kg·K)
|
| 189 |
+
|
| 190 |
+
q = flow_rate * rho * c_p * delta_t
|
| 191 |
+
return q
|
| 192 |
+
|
| 193 |
+
def infiltration_latent_heat_transfer(self, flow_rate: float, delta_w: float,
|
| 194 |
+
t_db: float, rh: float, p_atm: float = 101325) -> float:
|
| 195 |
"""
|
| 196 |
Calculate latent heat transfer due to infiltration or ventilation.
|
| 197 |
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 18, Equation 18.6.
|
|
|
|
| 199 |
Args:
|
| 200 |
flow_rate: Air flow rate in m³/s
|
| 201 |
delta_w: Humidity ratio difference in kg/kg
|
| 202 |
+
t_db: Dry-bulb temperature for air properties in °C
|
| 203 |
+
rh: Relative humidity in % (0-100)
|
| 204 |
+
p_atm: Atmospheric pressure in Pa
|
| 205 |
|
| 206 |
Returns:
|
| 207 |
Latent heat transfer rate in W
|
| 208 |
"""
|
| 209 |
+
if flow_rate < 0 or delta_w < 0:
|
| 210 |
+
raise ValueError("Flow rate and humidity ratio difference cannot be negative")
|
| 211 |
+
|
| 212 |
+
# Calculate air density and latent heat
|
| 213 |
w = self.psychrometrics.humidity_ratio(t_db, rh, p_atm)
|
| 214 |
rho = self.psychrometrics.density(t_db, w, p_atm)
|
| 215 |
h_fg = 2501000 + 1840 * t_db # Latent heat of vaporization in J/kg
|
| 216 |
+
|
| 217 |
+
q = flow_rate * rho * h_fg * delta_w
|
| 218 |
+
return q
|
| 219 |
+
|
| 220 |
+
def wind_pressure_difference(self, wind_speed: float) -> float:
|
| 221 |
"""
|
| 222 |
Calculate pressure difference due to wind.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16, Equation 16.3.
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Args:
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wind_speed: Wind speed in m/s
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Returns:
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Pressure difference in Pa
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"""
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if wind_speed < 0:
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raise ValueError("Wind speed cannot be negative")
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c_p = 0.6 # Wind pressure coefficient
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rho_air = 1.2 # Air density at standard conditions in kg/m³
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delta_p = 0.5 * c_p * rho_air * wind_speed**2
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return delta_p
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+
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def stack_pressure_difference(self, height: float, t_inside: float, t_outside: float) -> float:
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"""
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Calculate pressure difference due to stack effect.
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Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16, Equation 16.4.
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Args:
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height: Height of the building in m
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t_inside: Inside temperature in K
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t_outside: Outside temperature in K
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Returns:
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Pressure difference in Pa
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"""
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if height < 0 or t_inside <= 0 or t_outside <= 0:
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raise ValueError("Height and temperatures must be positive")
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g = 9.81 # Gravitational acceleration in m/s²
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rho_air = 1.2 # Air density at standard conditions in kg/m³
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delta_p = rho_air * g * height * (1 / t_outside - 1 / t_inside)
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return delta_p
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+
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def combined_pressure_difference(self, wind_pd: float, stack_pd: float) -> float:
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"""
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Calculate combined pressure difference from wind and stack effects.
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+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16, Section 16.2.
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Args:
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wind_pd: Wind pressure difference in Pa
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Returns:
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Combined pressure difference in Pa
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"""
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+
delta_p = math.sqrt(wind_pd**2 + stack_pd**2)
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+
return delta_p
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+
|
| 275 |
+
def crack_method_infiltration(self, crack_length: float, crack_width: float, delta_p: float) -> float:
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"""
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| 277 |
Calculate infiltration flow rate using crack method.
|
| 278 |
+
Reference: ASHRAE Handbook—Fundamentals (2017), Chapter 16, Equation 16.5.
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| 279 |
|
| 280 |
Args:
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| 281 |
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crack_length: Length of cracks in m
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| 282 |
+
crack_width: Width of cracks in m
|
| 283 |
+
delta_p: Pressure difference across cracks in Pa
|
| 284 |
|
| 285 |
Returns:
|
| 286 |
Infiltration flow rate in m³/s
|
| 287 |
"""
|
| 288 |
+
if crack_length < 0 or crack_width < 0 or delta_p < 0:
|
| 289 |
+
raise ValueError("Crack dimensions and pressure difference cannot be negative")
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|
| 290 |
|
| 291 |
+
c_d = 0.65 # Discharge coefficient
|
| 292 |
+
area = crack_length * crack_width
|
| 293 |
+
rho_air = 1.2 # Air density at standard conditions in kg/m³
|
| 294 |
+
q = c_d * area * math.sqrt(2 * delta_p / rho_air)
|
| 295 |
+
return q
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| 296 |
|
| 297 |
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|
| 298 |
# Example usage
|
| 299 |
if __name__ == "__main__":
|
| 300 |
+
heat_transfer = HeatTransferCalculations()
|
| 301 |
+
heat_transfer.debug_mode = True
|
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|
| 302 |
|
| 303 |
+
# Example conduction calculation
|
| 304 |
u_value = 0.5 # W/(m²·K)
|
| 305 |
area = 20.0 # m²
|
| 306 |
+
delta_t = 26.0 # °C
|
| 307 |
+
q_conduction = heat_transfer.conduction_heat_transfer(u_value, area, delta_t)
|
| 308 |
+
logger.info(f"Conduction heat transfer: {q_conduction:.2f} W")
|
|
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|
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|
| 309 |
|
| 310 |
# Example infiltration calculation
|
| 311 |
flow_rate = 0.05 # m³/s
|
| 312 |
+
delta_t = 26.0 # °C
|
| 313 |
+
t_db = 21.0 # °C
|
| 314 |
+
rh = 40.0 # %
|
| 315 |
+
p_atm = 101325 # Pa
|
| 316 |
+
q_infiltration = heat_transfer.infiltration_heat_transfer(flow_rate, delta_t, t_db, rh, p_atm)
|
| 317 |
+
logger.info(f"Infiltration sensible heat transfer: {q_infiltration:.2f} W")
|
| 318 |
|
| 319 |
+
# Example solar calculation
|
| 320 |
+
latitude = 40.0 # degrees
|
| 321 |
+
day_of_year = 172 # June 21
|
| 322 |
+
hour = 12.0 # Noon
|
| 323 |
+
declination = heat_transfer.solar.solar_declination(day_of_year)
|
| 324 |
+
hour_angle = heat_transfer.solar.solar_hour_angle(hour)
|
| 325 |
+
altitude = heat_transfer.solar.solar_altitude(latitude, declination, hour_angle)
|
| 326 |
+
azimuth = heat_transfer.solar.solar_azimuth(latitude, declination, hour_angle, altitude)
|
| 327 |
+
logger.info(f"Solar altitude: {altitude:.2f}°, Azimuth: {azimuth:.2f}°")
|