Numerical Simulation of Supersonic Flow over a Flat Plate

Kumar, Shashi (2014) Numerical Simulation of Supersonic Flow over a Flat Plate. Masters thesis, Indian Institute of Technology.

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Abstract

Supersonic flow over a flat plate has been investigated numerically. Supersonic flow problem is formulated by a two dimensional compressible unsteady flow with variable properties. The unsteady compressible Navier-Stokes equations are solved by finite difference method. Air is considered as calorically perfect gas, with a constant Prandtl number. The viscosity varies with temperature is modeled by Sutherland's law. The governing equations are solved using a MacCormack time marching technique with central finite difference scheme for spatial discretization. Result are reported for different Mach numbers varies from Ma = 2 to 8. Effects of Mach number on shock boundary layer interactions are reported here. The pressure, velocity and temperature profiles are reported. Result show that the shock strength increases with increase in Mach number. Present results are validated with the results available in the literature.

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