Explanation Write the expression for conservation of mass in normal shock. ρ 1 A V 1 = ρ 2 A V 2 ρ 1 V 1 = ρ 2 V 2 V 2 V 1 = ρ 1 ρ 2 V 2 V 1 = P 1 / R T 1 P 2 / R T 2 V 2 V 1 = P 1 / T 1 P 2 / T 2 V 2 V 1 = ( P 1 P 2 ) ( T 2 T 1 ) (I) Here, the velocity ratio across a normal shock is V 2 / V 1 , the density ratio across a normal shock is ρ 2 / ρ 1 , the pressure ratio across the normal shock is P 1 / P 2 , and the temperature ratio across the normal shock is T 2 / T 1 . Write the expression for Rayleigh line or pressure ratio across the normal shock. P 1 P 2 = ( 1 + k M a 2 2 1 + k M a 1 2 ) (II) Here, the Mach number is Ma and the specific heat ratio is k . Write the expression for temperature ratio across the normal shock

Thermodynamics: An Engineering Approach ( 9th International Edition ) ISBN:9781260092684

9th Edition

ISBN: 9781260048667

Author: Yunus A. Cengel Dr.; Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 17.7, Problem 92P

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The ideal gas flowing through a normal shock develop a relation for V2/V1 in terms of k, Ma1, and Ma2.

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Chapter 17.7, Problem 91P

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Thermodynamics: An Engineering Approach ( 9th International Edition ) ISBN:9781260092684

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

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The ideal gas flowing through a normal shock develop a relation for V 2 / V 1 in terms of k , Ma 1 , and Ma 2 .

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The ideal gas flowing through a normal shock develop a relation for V2/V1 in terms of k, Ma1, and Ma2.

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