Water of density = 998.2 kg/m 3 flows through a firemans nozzlea converging section of pipe

Water of density ρ = 998.2 kg/m³ flows through a fireman’s nozzle—a converging section of pipe that accelerates the flow. The inlet diameter is d₁ = 0.100 m, and the outlet diameter is d₂ = 0.050 m. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2), as in Fig. P6–48. 

(a) Write an expression for the horizontal force F_x of the fluid on the walls of the nozzle in terms of the given variables. 

(b) Verify your expression by plugging in the following values: β₁ = 1.03, β₂ = 1.02, V₁ = 4 m/s, P_1,gage = 123,000 Pa, and P_2,gage = 0 Pa.

FIGURE P6–48

Transcribed Image Text:

A₁ V₁ P₁ X L A₂ V₂ P₂