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TECHNICAL PAPERS: Heat and Mass Transfer

Time Scales for Unsteady Mass Transfer From a Sphere at Low-Finite Reynolds Numbers

[+] Author and Article Information
Stanley J. Kleis, Ivan Rivera-Solorio

Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4006

J. Heat Transfer 125(4), 716-723 (Jul 17, 2003) (8 pages) doi:10.1115/1.1576813 History: Received July 12, 2002; Revised March 10, 2003; Online July 17, 2003
Copyright © 2003 by ASME
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Figures

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Mesh of the computational domain
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Domain size effects on wall concentration distributions
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Mesh resolution effects on wall concentration distribution
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Comparison of computed results with accepted results
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Mass transport response for a step change in mass influx
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Time response of the average surface concentration for a step change in the mass influx boundary condition
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Time response of the average surface concentration for a step change in the mass influx boundary condition using as a time scale tcl=dU
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Time response of the average surface concentration for a step change in the mass influx boundary condition using as a time scale tc2=(dU)Pe−1/3
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Time response of the average surface concentration for a step change in the mass influx boundary condition using the computed time scale tc3=d/Uδm
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Mass transport response for a step change in the free stream velocity
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Effect of the evolution of the flow field on the mass transport response. Case 2: solution for a step change in velocity. Case 3: solution using a steady Stokes flow field for t>0. An initial diffusion distribution is specified for both simulations.
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Response of the normalized Sherwood number using a convective time scale, tcl=dU
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Response of the normalized Sherwood number using a convective time scale with time delay

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