Which of the following expressions is correct? (P – fluid pressure, M- Mach number, A – cross-sectional area of nozzle/diffuser)

Question

TuteeHUB · Accepted Answer

$\frac{1}{γ}\frac{dA}{A}=\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} $

TuteeHUB · Answer

$\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{M^2}{1-M^2} \big\} $

TuteeHUB · Answer

$\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{M^2-1}{M^2}\big\} $

TuteeHUB · Answer

$\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} $

TuteeHUB · Answer

$\frac{1}{γ}\frac{dA}{A}=\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} $

1.	Which of the following expressions is correct? (P – fluid pressure, M- Mach number, A – cross-sectional area of nozzle/diffuser)
A.	\(\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{M^2}{1-M^2} \big\} \)
B.	\(\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{M^2-1}{M^2}\big\} \)
C.	\(\frac{dA}{A}=\frac{1}{γ}\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} \)
D.	\(\frac{1}{γ}\frac{dA}{A}=\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} \)
Answer» D. \(\frac{1}{γ}\frac{dA}{A}=\frac{dP}{P}\big\{\frac{1-M^2}{M^2} \big\} \)

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