I SPECIFICALLY need help on the BONUS question!I only included the other questions for an understanding on the scoop of the problem. - write N-S equations for incompressible flows in cartesian coordinates in long form (in x, y,z coordinates)
- also write continuity equation and N-S equations for incompressible flows in polar coordinates in long form (inr,0.2) (since one of your friends ask you can find it easily in online resources or in books)
- Write down N-S equations in x direction for Planar Couette-Pouseille flow and derive an equation for velocity variation using boundary layer conditions mentioned in the last lecture (assuming incompressible, steady and fully developed flow)
BONUS: 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)