Question

In: Mechanical Engineering

a. What is N-S equations for incompressible flows in cartesian coordinates in long form (in x,y,z...

a. What is N-S equations for incompressible flows in cartesian coordinates in long form (in x,y,z coordinates)?

b. What is continuity equation and N-S equations for incompressible flows in polar coordinates in long form (in r,θ,z)

c. What is N-S equations in x direction for Planar Couette- Pouseille flow and derive an equation for velocity variation using boundary layer conditions

d. Assume an incompressible, steady, axissymmetric, fully developed Pouseille flow in a cylindrical pipe (infinitesimally long in z direction). The flow is in z direction, and radial and tangetial velocity is zero. Derive and simplify the N-S equation in z direction to find out the velocity in z direction. (need to use the boundary conditions to solve for integration constants)

Solutions

Expert Solution

c) Planar couette flow.

d) Pouseille flow in a cylindrical pipe.

samet mamat answered 2 years ago
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