Page 430 - Introduction to Continuum Mechanics

414 One-Dimensional Flow of a Compressible Fluid

We now study the flow in a converging nozzle and the flow in a converging-diverging nozzle,
using one-dimensional assumptions.
(1) Flow in a Converging Nozzle
Let us consider the adiabatic flow of an ideal gas from a large tank (inside which the pressure
p , and the density p remain essentially unchanged) into a region of pressure/?.
1 1 R
Application of the energy equation, using the conditions inside the tank and at the section
(2) gives

where p , p , and v are pressure, density, and velocity at section (2). Thus

For adiabatic flow,

Therefore,