A two-dimensional velocity field (u, v) may be defined in terms of a stream function, , where   Repeat Problem 2.36 for jet impact with a convex plate, as shown in Fig. 2.41. Problem 2.36 A fluid...

A two-dimensional velocity field (u, v) may be defined in terms of a stream function, , where

Repeat Problem 2.36 for jet impact with a convex plate, as shown in Fig. 2.41.

Problem 2.36

A fluid two-dimensional jet of width b1 and velocity V1 is directed at a concave plate, which moves with velocity V2, as shown in Fig. 2.40. Due to the impact with the plate, the fluid jet is divided into two identical jets, which are oriented with angle ˛ to the longitudinal x-direction at the edges of the plate. The fluid density is .

(a) Calculate the thickness of the two jets created by the impact of the jet with the concave plate.

(b) Determine the velocity of the two jets at the edges of the plate.

(c) Determine the power delivered from the jet to the plate.

(d) What should be the relationship between V1 and V2 to deliver maximum power?