Potential flow against a flat plate (Fig. P6.42a) can be described with the stream funct...

Potential flow against a flat plate (Fig. P6.42a) 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. By adding a source of strength m at O, stagnation point flow against a flat plate with a “bump” is obtained as illustrated in Fig. P6.42b. Determine the relationship between the bump height, h, the constant, A, and the source strength, m.