f5_mud - Lecture F5 Mud Reynolds and Mach Numbers(38...

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Lecture F5 Mud: Reynolds and Mach Numbers (38 respondents) 1. What are u and n , and how do they affect the shear force? (3 students) The surface shear stress is the tangential component of the force/area f γ that the fluid applies to the surface (the pressure p is the other normal component). See lecture F3. The shear stress is the result of the fluid in the boundary layer being sheared , or continuously deformed. The deformation rate is equal to the tangential-velocity gra- dient normal to the surface = �u/�n = ˙. The viscosity is the ratio of proportionality between the shear stress and the deformation rate: = µ �u/�n . 2. Why does p p have no effect on the net force? (1 student) You mistunderstood. It does have an effect. The unform pressure p alone has no effect. You can see this from the buoyancy force formula. F y = ρ dp /dy = 0 since p is a constant. 3. In M formula, what is a ? (1 student) The speed of sound in the freestream.
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