Gaseous Self Diffusion And Flow In Capillaries At Low Pressures

Author : Richard David Present
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Separation of a Gas Mixture Flowing Through a Long Tube at Low Pressure written by Richard David Present and published by . This book was released on 1949 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The separation of a binary gas mixture by diffusion through a capillary of radius r depends on the fact that the molecules have different masses m sub i and mean speeds v sub i. When the inlet pressure is so low that the mean free path lambda is much greater than r, the flow is diffusive and the separation factor (at zero outlet pressure) has its maximum value (m sub 1/m sub 2)(1/2). At high pressures (lambda (less than or equal r) no separation occurs. This paper treats the intermediate case (lambda approx. r) where the transfer of forward momentum from light to heavy molecules in unlike collisions equalizes the transport velocities and decreases the separation factor. As the inlet pressure rises, this effect makes the flow nonseparative before it becomes viscous. Flow equations are derived by equating the momentum acquired by the light component from the pressure gradient to the momentum lost to the wall plus that transferred to the other component. The viscous effects are treated as a small additive perturbation on the flow. The integrated flow equations express the separation factor as a function of the inlet and outlet pressures.