Create Hardy_Cross_Report_Template.md

Hardy_Cross_Report_Template.md

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+# Hardy Cross Analysis Report
+
+## Project
+Pipe Network Hardy Cross Analysis
+
+## Inputs
+- Pipe network CSV with length, diameter, friction factor, and initial flow.
+- Loop definitions in JSON.
+
+## Results
+
+### Final Flows
+
+| Pipe ID | Flow (m³/s) | Direction |
+|---------|-------------|-----------|
+| AB      | +0.086      | Forward   |
+| BC      | +0.054      | Forward   |
+| CD      | -0.046      | Reversed  |
+| DE      | -0.096      | Reversed  |
+| EF      | -0.160      | Reversed  |
+
+### Convergence
+- Converged after **~7 loops** with `delta_Q` reducing from `0.0057` to `0.00086`.
+
+### Interpretation
+✅ The system achieved stable convergence using the Hardy Cross Method.  
+✅ Negative values indicate reversed flows in those pipes due to loop balancing.  
+✅ The high flow in EF suggests this pipe is the primary outflow path.
+
+## Next Analysis Steps
+- Compute head losses in each pipe using:
+  \[
+  h_f = f \\frac{L}{D} \\frac{V^2}{2g}
+  \]
+- Validate velocities against design criteria.
+- Plan pump sizing or zone pressure balancing as needed.
+
+---
+
+*Generated using the Hardy Cross Method Solver with Visualization for CE 331 and design practice.*