Formulate appropriate answers to the following questions abo

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Formulate appropriate answers to the following questions about highspeed flows: (a) Why is the direct numerical solution

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Formulate appropriate answers to the following questions about highspeed flows: (a) Why is the direct numerical solutions (DNS) technique very useful for studying supersonic flows? (b) How does the outflow condition in supersonic flows differ from the usual Neumann boundary condition in subsonic flows? (c) For the following supersonic flow over a flat plate, discuss what types of boundary conditions are suitable to capture the flow features. (d) Discuss the effects of using a constant wall temperature instead of an adiabatic wall in terms of the boundary-layer development and its effect on the temperature profile in supersonic flows. (e) Discuss the advantages and disadvantages of using DNS methods over theoretical approaches, such as the Parabolic Stability Equation (PSE) calculations. (f) For the following flow over an airfoil, discuss why the following grid is necessary. (g) When the angle of attack for the NACA0012 airfoil is at 5o , what happens to the pressure over the bottom surface and how does this affect the temperature? (See section 7.4.5.2.)

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