Fluid Mechanics seventh edition by Frank M. White · Problem P3.48

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · linear-momentum-equation

Problem

The small boat in Fig. P3.48 is driven at a steady speed V0V_0 by a jet of compressed air issuing from a 3-cm-diameter hole at Ve=343V_e = 343 m/s. Jet exit conditions are pe=1p_e = 1 atm and Te=30T_e = 30°C. Air drag is negligible, and the hull drag is kV02kV_0^2, where k≈19k \approx 19 N⋅\cdots2^2/m2^2. Estimate the boat speed V0V_0 in m/s.

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