a. What is N-S equations for incompressible flows in cartesiancoordinates in long form (in x,y,z coordinates)?
b. What is continuity equation and N-S equations forincompressible flows in polar coordinates in long form (inr,θ,z)
c. What is N-S equations in x direction for Planar Couette-Pouseille flow and derive an equation for velocity variation usingboundary layer conditions
d. Assume an incompressible, steady, axissymmetric, fullydeveloped Pouseille flow in a cylindrical pipe (infinitesimallylong in z direction). The flow is in z direction, and radial andtangetial velocity is zero. Derive and simplify the N-S equation inz direction to find out the velocity in z direction. (need to usethe boundary conditions to solve for integration constants)