p0146 - 1.46(b): From the text, the isothermal...

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1.46. CHAPTER 1, PROBLEM 46 47 1.46 Chapter 1, Problem 46 1.46(a): By definition, the compressibility is τ = 1 ρ ∂ρ p = 1 ρ 1 p/ ∂ρ Now, since an isentropic flow has p = A ρ γ where A is a constant, we have p ∂ρ = γ A ρ γ 1 = γ p ρ Thus, the isentropic compressibility, τ s ,is τ s = 1 ρ ρ γ p = 1 γ p
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Unformatted text preview: 1.46(b): From the text, the isothermal compressibility, T = 1 /p . Thus, s T = 1 / ( p ) 1 /p = 1 For example, when = 1.4, the isentropic compressibility is 29% smaller than the isother-mal compressibility....
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