Question

Air, at p_o = 160 lbf/in² and T_o = 300°F, flows isentropically through a converging-diverging nozzle. At section 1, where A₁ = 288 in², the velocity is V₁ = 2068 ft/s.

Calculate the inlet Mach number (Ma₁) and the throat area (A^*).
The inlet Mach number is-------- .
The throat area is---------- ft².es

Determine the inlet pressure (p₁) and the mass flow rate (m^.). Round the final answer to three decimal places.
The inlet pressure is ----------- lbf/ft².
The mass flow rate is ---------- slug/s.

Answer 1

Given data: Por 160 lbefinn ; Tos 300°F = 422.04 k A, 288 in? ; V 2068 ft/sec. 1 Inlet mach number: velocity v = Ma, C, where C = FURT V, 22068 fty kee = 630.3 m/s since for A, = 288 in2 - 0.1858 m2, as R2287 I Tage 630.3 Ma, 221.4. VYc - 1-4x287x422.04 Ma, 1,53 2. Throat Arca A* for Ma, = 1.53 from standard value tables A = 1197 » At a 1.197 A* 288 88/197 240.6 in A* 240.6 in? - 1.67ft² 3 . for Ma, = 1.53 Pi 0.2608 leo P, 160X0.2668 P = 41.728 Abs/m2 P=6008.8 165/6th

from Ideal gas as equations: pv=MRT rss Pox (A,V) 1.103 x106 RT, 287 x 422.04 x 0.1858 x 630.3 3. 1066.43 Kg/s. a) 3 - 173.07 slog s.