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Update utils/heat_transfer.py
Browse files- utils/heat_transfer.py +324 -372
utils/heat_transfer.py
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"""
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This module
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"""
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from typing import
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import math
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import numpy as np
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import pandas as pd
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import os
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# Import data models and utilities
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from data.building_components import Wall, Roof, Floor, Window, Door, Orientation
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from utils.psychrometrics import Psychrometrics
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SOLAR_CONSTANT = 1367 # W/m²
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EARTH_TILT_ANGLE = 23.45 # degrees
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class HeatTransferCalculations:
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"""Class for shared heat transfer calculations."""
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Calculate conduction heat transfer through a building component.
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Args:
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u_value: U-value of the component in W/(m²·K)
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area: Area of the component in m²
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delta_t: Temperature difference across the component in K (or °C)
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Returns:
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Heat transfer rate in W
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"""
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return u_value * area * delta_t
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def convection_heat_transfer(h_c: float, area: float, delta_t: float) -> float:
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"""
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Args:
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"""
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def radiation_heat_transfer(emissivity: float, area: float, t_surface: float, t_surroundings: float) -> float:
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"""
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Calculate
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Args:
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area: Surface area in m²
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t_surface: Surface temperature in K
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t_surroundings: Surroundings temperature in K
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Returns:
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"""
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def infiltration_heat_transfer(flow_rate: float, delta_t: float, density: float = 1.2, specific_heat: float = 1006) -> float:
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"""
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Calculate
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Args:
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delta_t: Temperature difference between indoor and outdoor air in K (or °C)
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density: Air density in kg/m³ (default: 1.2 kg/m³)
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specific_heat: Specific heat capacity of air in J/(kg·K) (default: 1006 J/(kg·K))
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Returns:
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"""
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def infiltration_latent_heat_transfer(flow_rate: float, delta_w: float, density: float = 1.2, latent_heat: float = 2501000) -> float:
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"""
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Calculate
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Args:
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latent_heat: Latent heat of vaporization in J/kg (default: 2501000 J/kg)
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Returns:
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"""
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def air_exchange_rate_to_flow_rate(ach: float, volume: float) -> float:
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"""
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Args:
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Returns:
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"""
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"""
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Args:
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Returns:
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"""
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def crack_method_infiltration(crack_length: float, coefficient: float, pressure_difference: float, exponent: float = 0.65) -> float:
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"""
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Calculate
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Args:
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coefficient: Flow coefficient in m³/(s·m·Pa^n)
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pressure_difference: Pressure difference in Pa
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exponent: Flow exponent (default: 0.65)
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Returns:
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"""
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def wind_pressure_difference(wind_speed: float, wind_coefficient: float, density: float = 1.2) -> float:
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"""
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Calculate
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Args:
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density: Air density in kg/m³ (default: 1.2 kg/m³)
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Returns:
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"""
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def stack_pressure_difference(height: float, indoor_temp: float, outdoor_temp: float,
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neutral_plane_height: float = None, gravity: float = 9.81) -> float:
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"""
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Calculate
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Args:
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gravity: Acceleration due to gravity in m/s² (default: 9.81 m/s²)
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Returns:
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"""
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Calculate combined pressure difference from wind and stack effects.
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Args:
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wind_pd: Pressure difference due to wind in Pa
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stack_pd: Pressure difference due to stack effect in Pa
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Returns:
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Combined pressure difference in Pa
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"""
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# Simple quadrature combination
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return math.sqrt(wind_pd**2 + stack_pd**2)
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def solar_declination(day_of_year: int) -> float:
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"""
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Args:
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"""
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def solar_hour_angle(solar_time: float) -> float:
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"""
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Calculate
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Args:
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Returns:
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"""
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def solar_altitude(latitude: float, declination: float, hour_angle: float) -> float:
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"""
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Calculate
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Args:
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Returns:
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"""
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# Calculate solar altitude
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sin_altitude = (math.sin(lat_rad) * math.sin(decl_rad) +
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math.cos(lat_rad) * math.cos(decl_rad) * math.cos(hour_rad))
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return math.degrees(math.asin(sin_altitude))
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def solar_azimuth(latitude: float, declination: float, hour_angle: float, altitude: float) -> float:
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"""
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Calculate
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Args:
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Returns:
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"""
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alt_rad = math.radians(altitude)
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# Calculate solar azimuth
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cos_azimuth = ((math.sin(decl_rad) * math.cos(lat_rad) -
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math.cos(decl_rad) * math.sin(lat_rad) * math.cos(hour_rad)) /
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math.cos(alt_rad))
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# Constrain to [-1, 1] to avoid domain errors
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cos_azimuth = max(-1, min(1, cos_azimuth))
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# Calculate azimuth angle
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azimuth = math.degrees(math.acos(cos_azimuth))
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# Adjust for morning hours (negative hour angle)
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if hour_angle < 0:
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azimuth = -azimuth
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def incident_angle(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
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Args:
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solar_azimuth: Solar azimuth angle in degrees
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Returns:
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"""
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# Calculate incident angle
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cos_incident = (math.sin(solar_alt_rad) * math.cos(surf_tilt_rad) +
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math.cos(solar_alt_rad) * math.sin(surf_tilt_rad) *
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math.cos(solar_azim_rad - surf_azim_rad))
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cos_incident = max(-1, min(1, cos_incident))
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return math.degrees(math.acos(cos_incident))
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def direct_normal_irradiance(altitude: float, atmospheric_clearness: float = 1.0) -> float:
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"""
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Calculate
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Args:
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Returns:
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"""
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air_mass = 1 / math.sin(math.radians(altitude))
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# Limit air mass to reasonable values
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air_mass = min(air_mass, 38)
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# Calculate direct normal irradiance
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dni = SOLAR_CONSTANT * atmospheric_clearness**air_mass
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return dni
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def diffuse_horizontal_irradiance(dni: float, altitude: float, clearness: float = 0.2) -> float:
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"""
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Calculate
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Args:
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clearness: Sky clearness factor (0-1)
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Returns:
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"""
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return dni * clearness * math.sin(math.radians(altitude))
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def global_horizontal_irradiance(dni: float, dhi: float, altitude: float) -> float:
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"""
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Calculate
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Args:
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altitude: Solar altitude angle in degrees
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Returns:
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"""
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if
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#
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# Calculate global horizontal irradiance
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return direct_horizontal + dhi
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def irradiance_on_surface(dni: float, dhi: float, incident_angle: float,
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surface_tilt: float, ground_reflectance: float = 0.2) -> float:
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"""
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Calculate
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Args:
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surface_tilt: Surface tilt angle from horizontal in degrees
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ground_reflectance: Ground reflectance (albedo) (0-1)
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Returns:
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"""
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# Calculate direct component
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if incident_angle < 90:
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direct = dni * math.cos(incident_rad)
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else:
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direct = 0
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# Calculate total irradiance
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return direct + diffuse + reflected
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def solar_heat_gain(irradiance: float, area: float, shgc: float,
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shading_coefficient: float = 1.0, frame_factor: float = 0.85) -> float:
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"""
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Calculate
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Args:
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shgc: Solar Heat Gain Coefficient (0-1)
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shading_coefficient: External shading coefficient (0-1)
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frame_factor: Ratio of glazing area to total window area (0-1)
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Returns:
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"""
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occupant_sensible_gain: float = 70, occupant_latent_gain: float = 45) -> Dict[str, float]:
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"""
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Calculate
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Args:
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occupant_sensible_gain: Sensible heat gain per occupant in W (default: 70 W)
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occupant_latent_gain: Latent heat gain per occupant in W (default: 45 W)
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Returns:
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"""
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# Calculate occupant gains
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occupant_sensible = occupants * occupant_sensible_gain
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occupant_latent = occupants * occupant_latent_gain
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# Calculate total sensible and latent gains
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sensible_gain = occupant_sensible + lights_power + equipment_power
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latent_gain = occupant_latent
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return {
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"sensible": sensible_gain,
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"latent": latent_gain,
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"total": sensible_gain + latent_gain
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}
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@staticmethod
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def thermal_mass_effect(mass: float, specific_heat: float, delta_t: float) -> float:
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"""
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specific_heat: Specific heat capacity in J/(kg·K)
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delta_t: Temperature change in K (or °C)
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Returns:
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Heat stored in J
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"""
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return mass * specific_heat * delta_t
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|
| 482 |
-
|
| 483 |
-
|
| 484 |
"""
|
| 485 |
-
Calculate
|
| 486 |
|
| 487 |
Args:
|
| 488 |
-
|
| 489 |
-
|
| 490 |
-
|
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|
|
| 491 |
|
| 492 |
Returns:
|
| 493 |
-
|
| 494 |
"""
|
| 495 |
-
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| 496 |
|
| 497 |
-
|
| 498 |
-
|
| 499 |
"""
|
| 500 |
-
Calculate
|
| 501 |
|
| 502 |
Args:
|
| 503 |
-
|
| 504 |
-
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|
| 505 |
|
| 506 |
Returns:
|
| 507 |
-
|
| 508 |
-
"""
|
| 509 |
-
return heat_gain / thermal_mass
|
| 510 |
-
|
| 511 |
-
@staticmethod
|
| 512 |
-
def sol_air_temperature(outdoor_temp: float, solar_irradiance: float,
|
| 513 |
-
surface_absorptivity: float, surface_resistance: float) -> float:
|
| 514 |
"""
|
| 515 |
-
|
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|
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|
| 516 |
|
| 517 |
-
|
| 518 |
-
outdoor_temp: Outdoor air temperature in °C
|
| 519 |
-
solar_irradiance: Solar irradiance on the surface in W/m²
|
| 520 |
-
surface_absorptivity: Surface solar absorptivity (0-1)
|
| 521 |
-
surface_resistance: Surface heat transfer resistance in m²·K/W
|
| 522 |
-
|
| 523 |
-
Returns:
|
| 524 |
-
Sol-air temperature in °C
|
| 525 |
-
"""
|
| 526 |
-
return outdoor_temp + solar_irradiance * surface_absorptivity * surface_resistance
|
| 527 |
|
| 528 |
|
| 529 |
# Create a singleton instance
|
| 530 |
-
|
| 531 |
|
| 532 |
# Example usage
|
| 533 |
if __name__ == "__main__":
|
| 534 |
-
#
|
| 535 |
-
|
| 536 |
-
|
|
|
|
| 537 |
|
| 538 |
-
|
| 539 |
-
|
| 540 |
-
|
|
|
|
| 541 |
|
| 542 |
-
|
| 543 |
-
|
| 544 |
-
print(f"Solar
|
|
|
|
| 545 |
|
| 546 |
-
#
|
| 547 |
-
|
| 548 |
-
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
"""
|
| 2 |
+
Heat transfer calculation module for HVAC Load Calculator.
|
| 3 |
+
This module provides enhanced calculations for conduction, convection, radiation,
|
| 4 |
+
infiltration, and solar geometry, with improved modularity and error handling.
|
| 5 |
"""
|
| 6 |
|
| 7 |
+
from typing import Optional, Tuple
|
| 8 |
import math
|
| 9 |
import numpy as np
|
|
|
|
|
|
|
| 10 |
|
|
|
|
|
|
|
|
|
|
| 11 |
|
| 12 |
+
class SolarCalculations:
|
| 13 |
+
"""Class for solar geometry and irradiance calculations."""
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 14 |
|
| 15 |
+
def __init__(self):
|
| 16 |
+
"""Initialize solar calculations with cached values."""
|
| 17 |
+
self._declination_cache = {} # Cache for declination by day of year
|
|
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|
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|
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|
| 18 |
|
| 19 |
+
def validate_angle(self, angle: float, name: str, min_val: float, max_val: float) -> None:
|
|
|
|
| 20 |
"""
|
| 21 |
+
Validate an angle input.
|
| 22 |
|
| 23 |
Args:
|
| 24 |
+
angle: Angle in degrees
|
| 25 |
+
name: Name of the angle for error messages
|
| 26 |
+
min_val: Minimum allowed value
|
| 27 |
+
max_val: Maximum allowed value
|
| 28 |
|
| 29 |
+
Raises:
|
| 30 |
+
ValueError: If angle is out of range
|
| 31 |
"""
|
| 32 |
+
if not min_val <= angle <= max_val:
|
| 33 |
+
raise ValueError(f"{name} {angle}° is outside valid range ({min_val} to {max_val}°)")
|
| 34 |
|
| 35 |
+
def solar_declination(self, day_of_year: int) -> float:
|
|
|
|
| 36 |
"""
|
| 37 |
+
Calculate solar declination angle for a given day of the year.
|
| 38 |
|
| 39 |
Args:
|
| 40 |
+
day_of_year: Day of the year (1-365)
|
|
|
|
|
|
|
|
|
|
| 41 |
|
| 42 |
Returns:
|
| 43 |
+
Solar declination angle in degrees
|
| 44 |
"""
|
| 45 |
+
if not 1 <= day_of_year <= 365:
|
| 46 |
+
raise ValueError(f"Day of year {day_of_year} must be between 1 and 365")
|
| 47 |
+
|
| 48 |
+
if day_of_year in self._declination_cache:
|
| 49 |
+
return self._declination_cache[day_of_year]
|
| 50 |
+
|
| 51 |
+
declination = 23.45 * math.sin(math.radians(360 * (284 + day_of_year) / 365))
|
| 52 |
+
self._declination_cache[day_of_year] = declination
|
| 53 |
+
return declination
|
| 54 |
|
| 55 |
+
def solar_hour_angle(self, hour: float) -> float:
|
|
|
|
| 56 |
"""
|
| 57 |
+
Calculate solar hour angle for a given hour of the day.
|
| 58 |
|
| 59 |
Args:
|
| 60 |
+
hour: Hour of the day (0-23)
|
|
|
|
|
|
|
|
|
|
| 61 |
|
| 62 |
Returns:
|
| 63 |
+
Solar hour angle in degrees
|
| 64 |
"""
|
| 65 |
+
if not 0 <= hour <= 23:
|
| 66 |
+
raise ValueError(f"Hour {hour} must be between 0 and 23")
|
| 67 |
+
return 15 * (hour - 12)
|
| 68 |
|
| 69 |
+
def solar_altitude(self, latitude: float, declination: float, hour_angle: float) -> float:
|
|
|
|
| 70 |
"""
|
| 71 |
+
Calculate solar altitude angle.
|
| 72 |
|
| 73 |
Args:
|
| 74 |
+
latitude: Latitude in degrees
|
| 75 |
+
declination: Solar declination angle in degrees
|
| 76 |
+
hour_angle: Solar hour angle in degrees
|
|
|
|
| 77 |
|
| 78 |
Returns:
|
| 79 |
+
Solar altitude angle in degrees
|
| 80 |
"""
|
| 81 |
+
self.validate_angle(latitude, "Latitude", -90, 90)
|
| 82 |
+
self.validate_angle(declination, "Declination", -90, 90)
|
| 83 |
+
self.validate_angle(hour_angle, "Hour angle", -180, 180)
|
| 84 |
+
|
| 85 |
+
lat_rad = math.radians(latitude)
|
| 86 |
+
dec_rad = math.radians(declination)
|
| 87 |
+
ha_rad = math.radians(hour_angle)
|
| 88 |
+
|
| 89 |
+
sin_alt = math.sin(lat_rad) * math.sin(dec_rad) + math.cos(lat_rad) * math.cos(dec_rad) * math.cos(ha_rad)
|
| 90 |
+
altitude = math.degrees(math.asin(sin_alt))
|
| 91 |
+
return max(0, altitude)
|
| 92 |
|
| 93 |
+
def solar_azimuth(self, latitude: float, declination: float, hour_angle: float, altitude: float) -> float:
|
|
|
|
| 94 |
"""
|
| 95 |
+
Calculate solar azimuth angle.
|
| 96 |
|
| 97 |
Args:
|
| 98 |
+
latitude: Latitude in degrees
|
| 99 |
+
declination: Solar declination angle in degrees
|
| 100 |
+
hour_angle: Solar hour angle in degrees
|
| 101 |
+
altitude: Solar altitude angle in degrees
|
| 102 |
|
| 103 |
Returns:
|
| 104 |
+
Solar azimuth angle in degrees
|
| 105 |
"""
|
| 106 |
+
self.validate_angle(latitude, "Latitude", -90, 90)
|
| 107 |
+
self.validate_angle(declination, "Declination", -90, 90)
|
| 108 |
+
self.validate_angle(hour_angle, "Hour angle", -180, 180)
|
| 109 |
+
self.validate_angle(altitude, "Altitude", 0, 90)
|
| 110 |
+
|
| 111 |
+
lat_rad = math.radians(latitude)
|
| 112 |
+
dec_rad = math.radians(declination)
|
| 113 |
+
ha_rad = math.radians(hour_angle)
|
| 114 |
+
alt_rad = math.radians(altitude)
|
| 115 |
+
|
| 116 |
+
cos_az = (math.sin(alt_rad) * math.sin(lat_rad) - math.sin(dec_rad)) / (math.cos(alt_rad) * math.cos(lat_rad))
|
| 117 |
+
cos_az = max(-1, min(1, cos_az))
|
| 118 |
+
azimuth = math.degrees(math.acos(cos_az))
|
| 119 |
+
|
| 120 |
+
if hour_angle > 0:
|
| 121 |
+
azimuth = 360 - azimuth
|
| 122 |
+
return azimuth
|
| 123 |
|
| 124 |
+
def incident_angle(self, surface_tilt: float, surface_azimuth: float,
|
| 125 |
+
solar_altitude: float, solar_azimuth: float) -> float:
|
| 126 |
"""
|
| 127 |
+
Calculate angle of incidence for a surface.
|
| 128 |
|
| 129 |
Args:
|
| 130 |
+
surface_tilt: Surface tilt angle in degrees (0=horizontal, 90=vertical)
|
| 131 |
+
surface_azimuth: Surface azimuth angle in degrees
|
| 132 |
+
solar_altitude: Solar altitude angle in degrees
|
| 133 |
+
solar_azimuth: Solar azimuth angle in degrees
|
| 134 |
|
| 135 |
Returns:
|
| 136 |
+
Angle of incidence in degrees
|
| 137 |
"""
|
| 138 |
+
self.validate_angle(surface_tilt, "Surface tilt", 0, 180)
|
| 139 |
+
self.validate_angle(surface_azimuth, "Surface azimuth", 0, 360)
|
| 140 |
+
self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
|
| 141 |
+
self.validate_angle(solar_azimuth, "Solar azimuth", 0, 360)
|
| 142 |
+
|
| 143 |
+
tilt_rad = math.radians(surface_tilt)
|
| 144 |
+
az_diff_rad = math.radians(solar_azimuth - surface_azimuth)
|
| 145 |
+
alt_rad = math.radians(solar_altitude)
|
| 146 |
+
|
| 147 |
+
cos_theta = (math.sin(alt_rad) * math.cos(tilt_rad) +
|
| 148 |
+
math.cos(alt_rad) * math.sin(tilt_rad) * math.cos(az_diff_rad))
|
| 149 |
+
cos_theta = max(0, min(1, cos_theta))
|
| 150 |
+
return math.degrees(math.acos(cos_theta))
|
| 151 |
|
| 152 |
+
def direct_normal_irradiance(self, solar_altitude: float) -> float:
|
|
|
|
| 153 |
"""
|
| 154 |
+
Calculate direct normal irradiance.
|
| 155 |
|
| 156 |
Args:
|
| 157 |
+
solar_altitude: Solar altitude angle in degrees
|
|
|
|
|
|
|
|
|
|
| 158 |
|
| 159 |
Returns:
|
| 160 |
+
Direct normal irradiance in W/m²
|
| 161 |
"""
|
| 162 |
+
self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
|
| 163 |
+
if solar_altitude <= 0:
|
| 164 |
+
return 0
|
| 165 |
+
air_mass = 1 / math.cos(math.radians(90 - solar_altitude))
|
| 166 |
+
dni = 1367 * (1 - 0.14 * air_mass) # Simplified model
|
| 167 |
+
return max(0, dni)
|
| 168 |
|
| 169 |
+
def diffuse_horizontal_irradiance(self, dni: float, solar_altitude: float) -> float:
|
|
|
|
| 170 |
"""
|
| 171 |
+
Calculate diffuse horizontal irradiance.
|
| 172 |
|
| 173 |
Args:
|
| 174 |
+
dni: Direct normal irradiance in W/m²
|
| 175 |
+
solar_altitude: Solar altitude angle in degrees
|
|
|
|
| 176 |
|
| 177 |
Returns:
|
| 178 |
+
Diffuse horizontal irradiance in W/m²
|
| 179 |
"""
|
| 180 |
+
self.validate_angle(solar_altitude, "Solar altitude", 0, 90)
|
| 181 |
+
if solar_altitude <= 0:
|
| 182 |
+
return 0
|
| 183 |
+
return 0.1 * dni # Simplified model
|
| 184 |
|
| 185 |
+
def irradiance_on_surface(self, dni: float, dhi: float, incident_angle: float, surface_tilt: float) -> float:
|
|
|
|
|
|
|
| 186 |
"""
|
| 187 |
+
Calculate total irradiance on a tilted surface.
|
| 188 |
|
| 189 |
Args:
|
| 190 |
+
dni: Direct normal irradiance in W/m²
|
| 191 |
+
dhi: Diffuse horizontal irradiance in W/m²
|
| 192 |
+
incident_angle: Angle of incidence in degrees
|
| 193 |
+
surface_tilt: Surface tilt angle in degrees
|
|
|
|
| 194 |
|
| 195 |
Returns:
|
| 196 |
+
Total irradiance in W/m²
|
| 197 |
"""
|
| 198 |
+
self.validate_angle(incident_angle, "Incident angle", 0, 90)
|
| 199 |
+
self.validate_angle(surface_tilt, "Surface tilt", 0, 180)
|
| 200 |
+
if dni < 0 or dhi < 0:
|
| 201 |
+
raise ValueError("Irradiance values cannot be negative")
|
| 202 |
|
| 203 |
+
direct = dni * math.cos(math.radians(incident_angle))
|
| 204 |
+
diffuse = dhi * (1 + math.cos(math.radians(surface_tilt))) / 2
|
| 205 |
+
return max(0, direct + diffuse)
|
| 206 |
+
|
| 207 |
+
|
| 208 |
+
class HeatTransferCalculations:
|
| 209 |
+
"""Class for heat transfer calculations."""
|
| 210 |
|
| 211 |
+
def __init__(self):
|
| 212 |
+
"""Initialize heat transfer calculations with solar calculations."""
|
| 213 |
+
self.solar = SolarCalculations()
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 214 |
|
| 215 |
+
def validate_inputs(self, temp: float, area: float = 0.0, flow_rate: float = 0.0) -> None:
|
|
|
|
| 216 |
"""
|
| 217 |
+
Validate input parameters for heat transfer calculations.
|
| 218 |
|
| 219 |
Args:
|
| 220 |
+
temp: Temperature in °C
|
| 221 |
+
area: Area in m²
|
| 222 |
+
flow_rate: Flow rate in m³/s
|
| 223 |
|
| 224 |
+
Raises:
|
| 225 |
+
ValueError: If inputs are out of acceptable ranges
|
| 226 |
+
"""
|
| 227 |
+
if not -50 <= temp <= 60:
|
| 228 |
+
raise ValueError(f"Temperature {temp}°C is outside valid range (-50 to 60°C)")
|
| 229 |
+
if area < 0:
|
| 230 |
+
raise ValueError(f"Area {area}m² cannot be negative")
|
| 231 |
+
if flow_rate < 0:
|
| 232 |
+
raise ValueError(f"Flow rate {flow_rate}m³/s cannot be negative")
|
| 233 |
|
| 234 |
+
def conduction_heat_transfer(self, u_value: float, area: float, delta_t: float) -> float:
|
|
|
|
| 235 |
"""
|
| 236 |
+
Calculate heat transfer by conduction.
|
| 237 |
|
| 238 |
Args:
|
| 239 |
+
u_value: Overall heat transfer coefficient in W/(m²·K)
|
| 240 |
+
area: Surface area in m²
|
| 241 |
+
delta_t: Temperature difference in °C
|
| 242 |
|
| 243 |
Returns:
|
| 244 |
+
Heat transfer rate in W
|
| 245 |
"""
|
| 246 |
+
if u_value < 0:
|
| 247 |
+
raise ValueError(f"U-value {u_value} W/(m²·K) cannot be negative")
|
| 248 |
+
self.validate_inputs(delta_t, area)
|
| 249 |
+
return u_value * area * delta_t
|
| 250 |
|
| 251 |
+
def convection_heat_transfer(self, h: float, area: float, delta_t: float) -> float:
|
|
|
|
| 252 |
"""
|
| 253 |
+
Calculate heat transfer by convection.
|
| 254 |
|
| 255 |
Args:
|
| 256 |
+
h: Convective heat transfer coefficient in W/(m²·K)
|
| 257 |
+
area: Surface area in m²
|
| 258 |
+
delta_t: Temperature difference in °C
|
| 259 |
|
| 260 |
Returns:
|
| 261 |
+
Heat transfer rate in W
|
| 262 |
"""
|
| 263 |
+
if h < 0:
|
| 264 |
+
raise ValueError(f"Convective coefficient {h} W/(m²·K) cannot be negative")
|
| 265 |
+
self.validate_inputs(delta_t, area)
|
| 266 |
+
return h * area * delta_t
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 267 |
|
| 268 |
+
def radiation_heat_transfer(self, emissivity: float, area: float, t_surface: float, t_surroundings: float) -> float:
|
|
|
|
| 269 |
"""
|
| 270 |
+
Calculate heat transfer by radiation using Stefan-Boltzmann law.
|
| 271 |
|
| 272 |
Args:
|
| 273 |
+
emissivity: Surface emissivity (0-1)
|
| 274 |
+
area: Surface area in m²
|
| 275 |
+
t_surface: Surface temperature in °C
|
| 276 |
+
t_surroundings: Surroundings temperature in °C
|
| 277 |
|
| 278 |
Returns:
|
| 279 |
+
Heat transfer rate in W
|
| 280 |
"""
|
| 281 |
+
if not 0 <= emissivity <= 1:
|
| 282 |
+
raise ValueError(f"Emissivity {emissivity} must be between 0 and 1")
|
| 283 |
+
self.validate_inputs(t_surface, area)
|
| 284 |
+
self.validate_inputs(t_surroundings)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 285 |
|
| 286 |
+
sigma = 5.67e-8 # Stefan-Boltzmann constant in W/(m²·K⁴)
|
| 287 |
+
t_s = t_surface + 273.15
|
| 288 |
+
t_sur = t_surroundings + 273.15
|
| 289 |
+
return emissivity * sigma * area * (t_s**4 - t_sur**4)
|
| 290 |
|
| 291 |
+
def thermal_lag_factor(self, thermal_mass: float, time_constant: float, time_step: float) -> float:
|
|
|
|
|
|
|
| 292 |
"""
|
| 293 |
+
Calculate thermal lag factor for transient heat transfer.
|
| 294 |
|
| 295 |
Args:
|
| 296 |
+
thermal_mass: Thermal mass in J/K
|
| 297 |
+
time_constant: Time constant in hours
|
| 298 |
+
time_step: Time step in hours
|
|
|
|
| 299 |
|
| 300 |
Returns:
|
| 301 |
+
Thermal lag factor (0-1)
|
| 302 |
"""
|
| 303 |
+
if thermal_mass < 0:
|
| 304 |
+
raise ValueError(f"Thermal mass {thermal_mass} J/K cannot be negative")
|
| 305 |
+
if time_constant <= 0:
|
| 306 |
+
raise ValueError(f"Time constant {time_constant} hours must be positive")
|
| 307 |
+
if time_step < 0:
|
| 308 |
+
raise ValueError(f"Time step {time_step} hours cannot be negative")
|
|
|
|
|
|
|
|
|
|
|
|
|
| 309 |
|
| 310 |
+
return math.exp(-time_step / time_constant)
|
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| 311 |
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| 312 |
+
def infiltration_heat_transfer(self, flow_rate: float, delta_t: float) -> float:
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|
| 313 |
"""
|
| 314 |
+
Calculate sensible heat transfer due to infiltration or ventilation.
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| 315 |
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| 316 |
Args:
|
| 317 |
+
flow_rate: Air flow rate in m³/s
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| 318 |
+
delta_t: Temperature difference in °C
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| 319 |
|
| 320 |
Returns:
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| 321 |
+
Sensible heat transfer rate in W
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| 322 |
"""
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| 323 |
+
self.validate_inputs(delta_t, flow_rate=flow_rate)
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| 324 |
+
rho = 1.2 # Air density in kg/m³
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| 325 |
+
cp = 1005 # Specific heat of air in J/(kg·K)
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| 326 |
+
return flow_rate * rho * cp * delta_t
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| 327 |
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| 328 |
+
def infiltration_latent_heat_transfer(self, flow_rate: float, delta_w: float) -> float:
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|
| 329 |
"""
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| 330 |
+
Calculate latent heat transfer due to infiltration or ventilation.
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| 331 |
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| 332 |
Args:
|
| 333 |
+
flow_rate: Air flow rate in m³/s
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| 334 |
+
delta_w: Humidity ratio difference in kg/kg
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| 335 |
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| 336 |
Returns:
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| 337 |
+
Latent heat transfer rate in W
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| 338 |
"""
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| 339 |
+
self.validate_inputs(0, flow_rate=flow_rate)
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| 340 |
+
rho = 1.2 # Air density in kg/m³
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| 341 |
+
h_fg = 2501000 # Latent heat of vaporization in J/kg
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| 342 |
+
return flow_rate * rho * h_fg * delta_w
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| 343 |
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| 344 |
+
def wind_pressure_difference(self, wind_speed: float, wind_coefficient: float = 0.4) -> float:
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| 345 |
"""
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| 346 |
+
Calculate pressure difference due to wind.
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| 347 |
|
| 348 |
Args:
|
| 349 |
+
wind_speed: Wind speed in m/s
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| 350 |
+
wind_coefficient: Wind pressure coefficient
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|
| 351 |
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| 352 |
Returns:
|
| 353 |
+
Pressure difference in Pa
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| 354 |
"""
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| 355 |
+
if wind_speed < 0:
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| 356 |
+
raise ValueError(f"Wind speed {wind_speed} m/s cannot be negative")
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| 357 |
+
if not 0 <= wind_coefficient <= 1:
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| 358 |
+
raise ValueError(f"Wind coefficient {wind_coefficient} must be between 0 and 1")
|
| 359 |
|
| 360 |
+
rho = 1.2 # Air density in kg/m³
|
| 361 |
+
return 0.5 * wind_coefficient * rho * wind_speed**2
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| 362 |
|
| 363 |
+
def stack_pressure_difference(self, height: float, indoor_temp: float, outdoor_temp: float) -> float:
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|
| 364 |
"""
|
| 365 |
+
Calculate pressure difference due to stack effect.
|
| 366 |
|
| 367 |
Args:
|
| 368 |
+
height: Height difference in m
|
| 369 |
+
indoor_temp: Indoor temperature in K
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| 370 |
+
outdoor_temp: Outdoor temperature in K
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|
| 371 |
|
| 372 |
Returns:
|
| 373 |
+
Pressure difference in Pa
|
| 374 |
"""
|
| 375 |
+
if height < 0:
|
| 376 |
+
raise ValueError(f"Height {height} m cannot be negative")
|
| 377 |
+
if indoor_temp <= 0 or outdoor_temp <= 0:
|
| 378 |
+
raise ValueError("Temperatures must be positive in Kelvin")
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|
| 379 |
|
| 380 |
+
g = 9.81 # Gravitational acceleration in m/s²
|
| 381 |
+
rho = 1.2 # Air density in kg/m³
|
| 382 |
+
delta_t = abs(indoor_temp - outdoor_temp)
|
| 383 |
+
t_avg = (indoor_temp + outdoor_temp) / 2
|
| 384 |
+
return rho * g * height * delta_t / t_avg
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|
| 385 |
|
| 386 |
+
def combined_pressure_difference(self, wind_pd: float, stack_pd: float) -> float:
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|
| 387 |
"""
|
| 388 |
+
Calculate combined pressure difference from wind and stack effects.
|
| 389 |
|
| 390 |
Args:
|
| 391 |
+
wind_pd: Wind pressure difference in Pa
|
| 392 |
+
stack_pd: Stack pressure difference in Pa
|
|
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|
|
|
|
| 393 |
|
| 394 |
Returns:
|
| 395 |
+
Combined pressure difference in Pa
|
| 396 |
"""
|
| 397 |
+
if wind_pd < 0 or stack_pd < 0:
|
| 398 |
+
raise ValueError("Pressure differences cannot be negative")
|
| 399 |
+
return math.sqrt(wind_pd**2 + stack_pd**2)
|
| 400 |
|
| 401 |
+
def crack_method_infiltration(self, crack_length: float, coefficient: float,
|
| 402 |
+
pressure_difference: float) -> float:
|
|
|
|
| 403 |
"""
|
| 404 |
+
Calculate infiltration flow rate using crack method.
|
| 405 |
|
| 406 |
Args:
|
| 407 |
+
crack_length: Total crack length in m
|
| 408 |
+
coefficient: Flow coefficient in m³/(s·m·Pa^n)
|
| 409 |
+
pressure_difference: Pressure difference in Pa
|
|
|
|
|
|
|
| 410 |
|
| 411 |
Returns:
|
| 412 |
+
Infiltration flow rate in m³/s
|
|
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|
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|
|
|
|
|
|
|
|
| 413 |
"""
|
| 414 |
+
if crack_length < 0:
|
| 415 |
+
raise ValueError(f"Crack length {crack_length} m cannot be negative")
|
| 416 |
+
if coefficient < 0:
|
| 417 |
+
raise ValueError(f"Coefficient {coefficient} cannot be negative")
|
| 418 |
+
if pressure_difference < 0:
|
| 419 |
+
raise ValueError(f"Pressure difference {pressure_difference} Pa cannot be negative")
|
| 420 |
|
| 421 |
+
n = 0.65 # Flow exponent
|
| 422 |
+
return coefficient * crack_length * pressure_difference**n
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 423 |
|
| 424 |
+
def sol_air_temperature(self, outdoor_temp: float, solar_irradiance: float,
|
| 425 |
+
surface_absorptivity: float, surface_resistance: float) -> float:
|
| 426 |
"""
|
| 427 |
+
Calculate sol-air temperature for a surface.
|
| 428 |
|
| 429 |
Args:
|
| 430 |
+
outdoor_temp: Outdoor air temperature in °C
|
| 431 |
+
solar_irradiance: Solar irradiance on surface in W/m²
|
| 432 |
+
surface_absorptivity: Surface absorptivity (0-1)
|
| 433 |
+
surface_resistance: Surface resistance in m²·K/W
|
| 434 |
|
| 435 |
Returns:
|
| 436 |
+
Sol-air temperature in °C
|
| 437 |
"""
|
| 438 |
+
self.validate_inputs(outdoor_temp)
|
| 439 |
+
if solar_irradiance < 0:
|
| 440 |
+
raise ValueError(f"Solar irradiance {solar_irradiance} W/m² cannot be negative")
|
| 441 |
+
if not 0 <= surface_absorptivity <= 1:
|
| 442 |
+
raise ValueError(f"Surface absorptivity {surface_absorptivity} must be between 0 and 1")
|
| 443 |
+
if surface_resistance < 0:
|
| 444 |
+
raise ValueError(f"Surface resistance {surface_resistance} m²·K/W cannot be negative")
|
| 445 |
+
|
| 446 |
+
h_ext = 1 / surface_resistance # External convective coefficient
|
| 447 |
+
delta_t_rad = surface_absorptivity * solar_irradiance / h_ext
|
| 448 |
+
return outdoor_temp + delta_t_rad
|
| 449 |
|
| 450 |
+
def solar_heat_gain(self, irradiance: float, area: float, shgc: float,
|
| 451 |
+
shading_coefficient: float = 1.0) -> float:
|
| 452 |
"""
|
| 453 |
+
Calculate solar heat gain through a surface.
|
| 454 |
|
| 455 |
Args:
|
| 456 |
+
irradiance: Solar irradiance on surface in W/m²
|
| 457 |
+
area: Surface area in m²
|
| 458 |
+
shgc: Solar heat gain coefficient (0-1)
|
| 459 |
+
shading_coefficient: Shading coefficient (0-1)
|
| 460 |
|
| 461 |
Returns:
|
| 462 |
+
Solar heat gain in W
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 463 |
"""
|
| 464 |
+
self.validate_inputs(0, area)
|
| 465 |
+
if irradiance < 0:
|
| 466 |
+
raise ValueError(f"Irradiance {irradiance} W/m² cannot be negative")
|
| 467 |
+
if not 0 <= shgc <= 1:
|
| 468 |
+
raise ValueError(f"SHGC {shgc} must be between 0 and 1")
|
| 469 |
+
if not 0 <= shading_coefficient <= 1:
|
| 470 |
+
raise ValueError(f"Shading coefficient {shading_coefficient} must be between 0 and 1")
|
| 471 |
|
| 472 |
+
return irradiance * area * shgc * shading_coefficient
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 473 |
|
| 474 |
|
| 475 |
# Create a singleton instance
|
| 476 |
+
heat_transfer_calculator = HeatTransferCalculations()
|
| 477 |
|
| 478 |
# Example usage
|
| 479 |
if __name__ == "__main__":
|
| 480 |
+
# Example solar calculations
|
| 481 |
+
latitude = 40.0
|
| 482 |
+
day_of_year = 204
|
| 483 |
+
hour = 12.0
|
| 484 |
|
| 485 |
+
declination = heat_transfer_calculator.solar.solar_declination(day_of_year)
|
| 486 |
+
hour_angle = heat_transfer_calculator.solar.solar_hour_angle(hour)
|
| 487 |
+
altitude = heat_transfer_calculator.solar.solar_altitude(latitude, declination, hour_angle)
|
| 488 |
+
azimuth = heat_transfer_calculator.solar.solar_azimuth(latitude, declination, hour_angle, altitude)
|
| 489 |
|
| 490 |
+
print(f"Solar Declination: {declination:.2f}°")
|
| 491 |
+
print(f"Solar Hour Angle: {hour_angle:.2f}°")
|
| 492 |
+
print(f"Solar Altitude: {altitude:.2f}°")
|
| 493 |
+
print(f"Solar Azimuth: {azimuth:.2f}°")
|
| 494 |
|
| 495 |
+
# Example heat transfer calculation
|
| 496 |
+
u_value = 0.5 # W/(m²·K)
|
| 497 |
+
area = 20.0 # m²
|
| 498 |
+
delta_t = 10.0 # °C
|
| 499 |
+
conduction = heat_transfer_calculator.conduction_heat_transfer(u_value, area, delta_t)
|
| 500 |
+
print(f"Conduction Heat Transfer: {conduction:.2f} W")
|