In this project, the numerical simulation of the forced heat transfer problem on a flat plate is dealt with in a calm and turbulent manner. Also, all RANS models have been checked and compared with laminar flow, and for the models that use the wall function, all the wall functions have been checked and the results have been compared. The network generation of this problem will be done with the help of Gambit software and its solution will be done with Ansys Fluent software. Also, during this project, it has been tried to point out the important and significant points in the solution process and evaluate their impact on this issue.
In this problem, a flat sheet with a constant temperature of 413 K is used. Considering the infinite page and uniform distribution \( x = 0 \), the free flow fluid temperature is equal to 353 kelvin.
For compressible flow, equation (1) is:
\[ \frac{\partial}{\partial x_i} \left( \overline{\rho U_l} \right) + \frac{\partial}{\partial x_i} \left( \overline{\rho' U_l'} \right) \]
For incompressible flow, since \( \rho' = 0 \), the above equation will be as follows:
\[ \frac{\partial \overline{U_i}}{\partial x_i} \]
The geometry is also a square with side 1m. The boundary conditions are:
The complete results are in the attached file and can be downloaded.