Explanation The flow of nitrogen through the nozzle is isentropic, one dimensional and steady. Write the expression for the thermodynamic relation for pressure. ρ 0 = P 0 R T 0 (I) Here, density of nitrogen at the outlet of nozzle is ρ 0 , pressure of nitrogen at the outlet of nozzle is P 0 , gas constant is R , and temperature of nitrogen at the outlet of nozzle is T 0 . The properties of the fluid are at its critical for a Mach number of 1, Refer Table A-32, “One-dimensional isentropic compressible-flow functions for an ideal gas with k = 1.4 ”, write the following expressions of critical pressure, temperature and density for a Mach number of 1. T ∗ = 0.8333 T 0 (II) P ∗ = 0.5283 P 0 (III) ρ ∗ = 0.6339 ρ 0 (IV) Here, the critical temperature is T ∗ , critical pressure is P ∗ , and critical density is ρ * . Write the expression for the critical velocity of sound in the fluid. c ∗ = k R T ∗ (V) Here, critical velocity of sound in the fluid is c ∗ and ratio of specific heat is k . Conclusion: From Table A-1, “Molar mass, gas constant, and critical2point properties”, the value of R for nitrogen at the given temperature is 0.2968 kPa ⋅ m 3 / kg . Since, the stagnation pressure at inlet is the same as the outlet, substitute 700 kPa for P 0 , 0.2968 kPa ⋅ m 3 / kg for R , and 400 K for T 0 in Equation (I). ρ 0 = 700 kPa 0.2968 kPa ⋅ m 3 / kg × 400 K = 5.896 kg / m 3 Substitute 400 K for T 0 in Equation (II)

9th Edition

ISBN: 9781266657610

Author: CENGEL

Publisher: MCG CUSTOM

See similar textbooks

Videos

Question

Chapter 17.7, Problem 53P

To determine

The critical velocity, pressure, temperature, and density in the nozzle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 17.7, Problem 52P

Chapter 17.7, Problem 54P

Students have asked these similar questions

If the 300-kg drum has a center of mass at point G, determine the horizontal and vertical components of force acting at pin A and the reactions on the smooth pads C and D. The grip at B on member DAB resists both horizontal and vertical components of force at the rim of the drum. P 60 mm; 60 mm: 600 mm A E 30° B C 390 mm 100 mm D G

The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that the angle D through which end D of shaft CD rotates not exceed 1.5°. Knowing that G = 77.2 GPa, determine the required diameter of the shafts. 40 mm 400 mm 100 mm 600 mm T-1000 N-m D

Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz

Chapter 17 Solutions

THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<

Ch. 17.7 - A high-speed aircraft is cruising in still air....Ch. 17.7 - What is dynamic temperature?Ch. 17.7 - Prob. 3P Ch. 17.7 - Prob. 4P Ch. 17.7 - Prob. 5P Ch. 17.7 - Prob. 6P Ch. 17.7 - Calculate the stagnation temperature and pressure...Ch. 17.7 - Prob. 8P Ch. 17.7 - Prob. 9P Ch. 17.7 - Prob. 10P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The critical velocity, pressure, temperature, and density in the nozzle.

Solution Summary: The author analyzes the critical velocity, pressure, temperature, and density in the nozzle. The flow of nitrogen isentropic, one dimensional and steady.

Videos

The critical velocity, pressure, temperature, and density in the nozzle.

Want to see the full answer?

Chapter 17 Solutions