1.The Navier Stokes equations in the z-direction. Define what each term in the equation means. Overall, what quantity is being conserved? Under what conditions might you be justified in assuming that non-linear terms are not important? Finally, if non-linear terms and viscous stress is not important, what does the equation reduce to in steady flow?
2.A plane flow field is developed by addition of a free vortex and a uniform stream in the positive x direction. If the vortex is located a distance a from the origin, find the pressure variation in the flow field. Express answer in terms of the uniform velocity V, the strength of the vortex ?, and the pressure po far from the origin.