Numerical Simulation of Unsteady 2D Boundary Layer Flow and Heat Transfer Over a Flat Surface Using the Finite Volume Method With a Collocated Grid

In this study, a numerical simulation is conducted to analyze unsteady, two-dimensional flow and heat transfer over a flat plate using the finite volume method. A fluid with a constant free-stream temperature and velocity is considered to flow over the flat plate, which is initially warm. The governing equations for mass, momentum, and energy conservation are discretized using a collocated grid framework and solved iteratively. The finite volume method employed exhibits stability and convergence under the prescribed conditions. The development of the hydrodynamic and thermal boundary layers is examined at different time instances. The results show that increasing the Reynolds number leads to thinner velocity boundary layers, while higher Prandtl numbers produce steeper thermal gradients and thinner thermal boundary layers. The transient evolution of flow and temperature fields illustrates the gradual establishment of boundary layers from the leading edge. This study provides valuable insights into the application of the finite volume method for solving unsteady flow and heat transfer problems, demonstrating its effectiveness in capturing transient boundary layer development.