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Engineering and Tech / Fundamentals of Heat and Mass Transfer 7 / Chapter 6 / Problem 6.26

Fundamentals of Heat and Mass Transfer | 7th Edition | ISBN: 9780470501979 | Authors: Theodore L. Bergman; Adrienne S. Lavine; Frank P. Incropera; David P. DeWitt

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Experiments have shown that the transition from lami-nar

Chapter 6, Problem 6.26

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QUESTION:

Experiments have shown that the transition from lami-nar to turbulent conditions for flow normal to the axis of a long cylinder occurs at a critical Reynolds numberof ReD,c2?105, where Dis the cylinder diameter.Moreover, the transition from incompressible to com-pressible flow occurs at a critical Mach number of Mac0.3. For air at a pressure of p?1 atm and tem-perature T?27C, determine the critical cylinderdiameter Dcbelow which, if the flow is turbulent, com-pressibility effects are likely to be important.

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QUESTION:

Experiments have shown that the transition from lami-nar to turbulent conditions for flow normal to the axis of a long cylinder occurs at a critical Reynolds numberof ReD,c2?105, where Dis the cylinder diameter.Moreover, the transition from incompressible to com-pressible flow occurs at a critical Mach number of Mac0.3. For air at a pressure of p?1 atm and tem-perature T?27C, determine the critical cylinderdiameter Dcbelow which, if the flow is turbulent, com-pressibility effects are likely to be important.

ANSWER:

Step 1 of 3

The speed of the sound for given atmospheric conditions is calculated as,

For , and

The speed of the air is calculated as,

For and .

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