In: Civil Engineering
Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter, flow velocity, viscosity and density of the fluid.
Solution) As given in the question we have to find the expression for shear stress using the dimensional analysis and using the given parameters which can be done by converting them to FLT sysytem and then balancing the constants thus we can easily find the expression for shear stress using dimensional analysis as shown in the following solution -