Fluid Mechanics seventh edition by Frank M. White · Problem P3.22

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · compressible-flow-continuity

Problem

The converging–diverging nozzle shown in Fig. P3.22 expands and accelerates dry air to supersonic speeds at the exit, where

p_2 = 8

kPa and

T_2 = 240

K. At the throat,

p_1 = 284

kPa,

T_1 = 665

K, and

V_1 = 517

m/s. (

D_1 = 1

cm,

D_2 = 2.5

cm.) For steady compressible flow of an ideal gas, estimate (a) the mass flow in kg/h, (b) the velocity

V_2

, and (c) the Mach number

\text{Ma}_2