Question: 1. Consider steady flow of a constant-property fluid in a long duct formed QY two parallel planes. Consider a point sufficiently far removed from the duct entrance that the y component of velocity is zero and the flow is entirely in the x direction. Write the Navier-Stokes equations for both the x and y directions. What can you deduce about the pressure gradients?
2. Show that for a constant-property viscous fluid flowing at extremely low velocities, so that all inertia terms may be neglected, and in which there are no body forces, the Navier-Stokes equations may be reduced to V2p = 0.