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For low-speed (nearly incompressible) gas flow, the stagna- tion pressure can be computed from Bernoulli's equation: Po = P +pV² (a) For higher subsonic speeds, show that the isentropic relation (9.28a) can be expanded in a power series as follows: 2 -k Po -p+ pv*(1+ Ma' + Ma' + --) 24 (b) Suppose that a pitot-static tube in air measures the pres- sure difference p, - p and uses the Bernoulli relation, with stagnation density, to estimate the gas velocity. At what Mach number will the error be 4 percent?

For low-speed (nearly incompressible) gas flow, the stagna- tion pressure can be computed from Bernoulli's equation: Po = P +pV² (a) For higher subsonic speeds, show that the isentropic relation (9.28a) can be expanded in a power series as follows: 2 -k Po -p+ pv*(1+ Ma' + Ma' + --) 24 (b) Suppose that a pitot-static tube in air measures the pres- sure difference p, - p and uses the Bernoulli relation, with stagnation density, to estimate the gas velocity. At what Mach number will the error be 4 percent?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For low-speed (nearly incompressible) gas flow, the stagna- tion pressure can be computed from Bernoulli's equation: Po = P +pV² (a) For higher subsonic speeds, show that the isentropic relation (9.28a) can be expanded in a power series as follows: 2 -k Po -p+ pv*(1+ Ma' + Ma' + --) 24 (b) Suppose that a pitot-static tube in air measures the pres- sure difference p, - p and uses the Bernoulli relation, with stagnation density, to estimate the gas velocity. At what Mach number will the error be 4 percent?
Transcribed Image Text:For low-speed (nearly incompressible) gas flow, the stagna- tion pressure can be computed from Bernoulli's equation: Po = P +pV² (a) For higher subsonic speeds, show that the isentropic relation (9.28a) can be expanded in a power series as follows: 2 -k Po -p+ pv*(1+ Ma' + Ma' + --) 24 (b) Suppose that a pitot-static tube in air measures the pres- sure difference p, - p and uses the Bernoulli relation, with stagnation density, to estimate the gas velocity. At what Mach number will the error be 4 percent?
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