b) Consider a steady, incompressible, parallel, laminar flow of a film of oil falling slowly down a flat vertical wall as depicted in Figure Q2(b). Oil film P = Patm Fixed wall h- Figure Q2(b) Given the pressure does not change for the surrounding air and oil film, i) state all assumptions you require to simplify the above to a one-dimensional flow problem. i) write the continuity equation and reduce the 3-dimensional Navier-Stokes equation problem. based on the above assumptions to a one-dimensional flow ili) find the vertical (z-direction) velocity profile using non-slip boundary condition at the wall and negligible shear at the free surface. 160

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.