Hi, I’ve completed the analysis of your design project as below. For your information the results are as follows; at UA = 1.07, 1.57, 2.57; the liquid outlet flow rate (kg/s) is 1.046, 1.029, 1.006; and liquid outlet temperature (K) is 167.9, 157.3 142.3. I can ship results and code immediately in excel workbook. The solution of your problem has involved the following;
1. Analytically determine governing equations i.e. Conservation of energy, mass continuity and heat transfer.
2. Analytically derive two-variable (hot outlet flow and hot outlet temperature) Newton-Raphson solution from Taylor series expansion and governing equations.
3. Develope code to calculate partial derivatives and evaluate them at initial guesses of flow and temperature.
4. Develope code to calculate the determinant of the Jacobian.
5. Develope code to evaluate functions.
6. Develope code to iterate from initial guess and converge on solution. Iterate until tolerances achieved (temperature tolerance of 0.01 degK and mass flow tolerance of 0.001kg/s).
I have implement the code in excel VBA, though can deliver work in C, C#, C++ or FORTRAN.
I will deliver the solution and a short report with the details requested in project description i.e. problem statement, design parameters, example hand calculation and source code.
My bid price is set low as I’m a new user - I’m really looking for positive feedback.
Regards,
Tony