We have studied the point source (sink) and the line source (sink) of infi nite depth

Chapter 8, Problem p8.98

(choose chapter or problem)

We have studied the point source (sink) and the line source (sink) of infi nite depth into the paper. Does it make any sense to defi ne a fi nite-length line sink (source) as in 586 Chapter 8 Potential Flow and Computational Fluid Dynamics Fig. P8.98? If so, how would you establish the mathematical properties of such a fi nite line sink? When combined with a uniform stream and a point source of equivalent strength as in Fig. P8.98, should a closed-body shape be formed? Make a guess and sketch some of these possible shapes for various values of the dimensionless parameter m/(U L2 ). P8.98 U +m m y x 0 Point source Line sink of total strength L