An ideal gas flows within a small diameter tube. Derive an expression for the transition density of
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An ideal gas flows within a small diameter tube. Derive an expression for the transition density of the gas \(ho_{c}\) below which microscale effects must be accounted for. Express your result in terms of the gas molecule diameter, universal gas constant, Boltzmann's constant, and the tube diameter. Evaluate the transition density for a \(D=8\) - \(\mu \mathrm{m}\)-diameter tube for hydrogen, air, and carbon dioxide. Compare the calculated transition densities with the gas density at atmospheric pressure and \(T=23^{\circ} \mathrm{C}\).
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Related Book For
Fundamentals Of Heat And Mass Transfer
ISBN: 9781119220442
8th Edition
Authors: Theodore L. Bergman, Adrienne S. Lavine
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