Consider an irrotational line source of strength V/L in the xy- or r-plane. The velocity components are

Consider an irrotational line source of strength V̇/L in the xy- or rθ-plane. The velocity components are

started with the equation for u_θ to generate expressions for the velocity potential function and the stream function for the line source. Repeat the analysis, except start with the equation for u_r, showing all your work.

Transcribed Image Text:

u₁ = ad 1 მს ar r 20 VIL 2πr and up 1 аф r 20 მს ar = 0.