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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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References

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Feng,  Z.-G., and Michaelides,  E. E., 1996, “Unsteady Heat Transfer From a Sphere at Small Peclet Numbers,” ASME J. Fluids Eng., 118, pp. 96–102.
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Kramers,  H., 1946, “Heat Transfer From Spheres to Flowing Media,” Physica XII,2–3, pp. 61–80.
Whitaker,  S., 1972, “Forced Convection Heat Transfer Correlations for Flow in Pipes, Past Flat Plates, Single Cylinders, Single Spheres, and for Flow in Packed Beds and Tube Bundles,” American Institute of Chemical Engineers Journal,18(2), pp. 361–371.
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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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