Experiments are being designed to measure the horizontal force F on a fireman’s nozzle, as shown in Fig. P7–112. Force F is a function of velocity V₁, pressure drop ΔP = P₁ – P₂, density r, viscosity μ, inlet area A₁, outlet area A₂, and length L. Perform a dimensional analysis for F = f (V₁, ΔP, ρ, μ, A₁, A₂, L). For consistency, use V₁, A₁, and r as the repeating parameters and generate a dimensionless relationship. Identify any established nondimensional parameters that appear in your result.

FIGURE P7–112

Transcribed Image Text:

A₁ V₁ P₁ d₁ X L A₂ V₂ P₂