Fluid Mechanics seventh edition by Frank M. White · Problem P3.46

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · linear-momentum-equation

Problem

When a jet strikes an inclined fixed plate, as in Fig. P3.46, it breaks into two jets at 2 and 3 of equal velocity V=VjetV = V_{\text{jet}} but unequal fluxes αQ\alpha Q at 2 and (1−α)Q(1 - \alpha)Q at section 3, α\alpha being a fraction. The reason is that for frictionless flow the fluid can exert no tangential force FtF_t on the plate. The condition Ft=0F_t = 0 enables us to solve for α\alpha. Perform this analysis, and find α\alpha as a function of the plate angle θ\theta. Why doesn't the answer depend on the properties of the jet?

Related theory

Browse the problem library