Question

Question: 1115 Marks Consider a steady, two-dimensional, incompressible flow field called a source strength Q. Generate an expression for the stream function for this flow. (S Marks) a. , with flow b. Potential flow against a flat plate (Fig. 1a) can be described with the stream function where A is a constant. This type of flow is commonly called a stagnation point flow since it can be used to describe the flow in the vicinity of the stagnation point at O. Ex addins a sourss of steath at ,tgnatin poit fow agains a flat plae wit bump" is obtained as illustrated in Fig. lb. Determine the relationship between the bump height, h, the constant A, and the source strength Q. (10 Marks) Stagnation Point Source Page 2 of 9

Answer 1

→ stream functton1s a function of space Such that t Sattsfies iouty eq uation Stnce it is tuoo dimensional and focompessi -flow field oy = stream function lu and v ave velocities in and y direchion respectively ut u,v values 1n Equation O ウズ iohen tt is zexo, flons is possible and y exists → stiength of Source, G- discharge Strength of Source