Answer Happy

Question 4: A small jet engine is placed in a very large testing room at a distance x-a from a vertical wall as shown schematically in Fig. Q4. Neglecting the change in temperature and density of the exhaust gases, the engine can be modelled as a doublet of strength X. (a) Determine the stream-function to represent this flow and verify that the wall is correctly represented by the model. Sketch the streamlines giving the direction of the flow along the wall and the positive x-axis. It is not necessary to calculate the shape of the streamlines. (b) Determine the pressure distribution along the wall in terms of the stagnation pressure, Po, fluid density, K, y and a. (c) What force arises on the engine due to the presence of the wall? Do not consider the thrust generated by the engine. The fluid may be considered incompressible (constant density p), irrotational and two-dimensional. For the purpose of these calculations, the room may be considered to be infinitely large. wall 10 K Source Sink Figure Q4: Schematic representation of a doublet (representing an engine) placed at a... distance a from a wall. manž