# A study of the supersonic fluid flow over a plate with different surface roughness by a finite difference method

 Author: Yip, Tat-yin Sammy Title: A study of the supersonic fluid flow over a plate with different surface roughness by a finite difference method Degree: M.Sc. Year: 2000 Subject: Fluid dynamicsFluid dynamics -- Data processingFinite differencesHong Kong Polytechnic University -- Dissertations Department: Multi-disciplinary StudiesDept. of Applied Mathematics Pages: v, 196 leaves : ill. ; 31 cm Language: English InnoPac Record: http://library.polyu.edu.hk/record=b1503029 URI: http://theses.lib.polyu.edu.hk/handle/200/3063 Abstract: This dissertation paper describes the methods and calculations for predicting the steady-state compressible supersonic fluid flow over a plate with different surface roughness. The surface roughness of the plate is represented by different size of single pore which can be treated as a small section of any real-life surface. The effect of surface roughness at low speed may be small and insignificant but its effect may become important at high speed like supersonic. The results of flow predictions are valuable in many areas, like studies of flows over re-entry vehicle surface and flow visualisation prior to experiments or expensive supersonic wind tunnel test. The method of flow prediction is to apply the finite difference approach with explicit time marching scheme in obtaining solutions of the fluid governing equations. To predict the flow precisely, the complete Navier-Stokes equation is used as the governing equation throughout this paper because of the significant viscous and thermal effects in the supersonic flow. Since the general analytical solution of Navier-Stokes equation has not yet been found, obtaining the numerical solutions of it is still challenging. Due to the fact that the amount of calculations involved for solving the equation numerically are huge and the iterative time marching scheme requires a lot of repetitive procedures, it is most suitable to introduce computer to perform the jobs. In this respect, a computer program has been specially designed for performing all the required calculations. The numerical results obtained exhibit that the appearing of pore on a plate can cause variations in the pressure exerted on the plate and the fluid properties around the pore. The results also illustrate the patterns of the fluid flows inside the pores.

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