The figure illustrates the principle of the jet pump. Derive a formula for p₂ – p₁ as a function of D_j, V_j, D₀, V₀, and ρ. Assume that the fluid from the jet and the fluid initially flowing in the pipe are the same, and assume that they are completely mixed at section 2, so that the velocity is uniform across that section. Also assume that the pressures are uniform across both sections 1 and 2. What is p₂ – p₁ if the fluid is water, A_j/A₀ = 1/3, V_j = 15 m/s, and V₀ = 2 m/s? Neglect shear stress.

Transcribed Image Text:

Vo CC