An analysis is made for laminar forced-convection heat transfer in a circular tube or a parallel plate channel whose walls may undergo arbitrary time variations in temperature. The time-varying process can begin from an already established steady-state situation with heat transfer taking place, or the fluid and walls can be initially at the same uniform temperature. The fluid velocity distribution is fully developed and unchanging with time. At any instant during the transient the wall temperature is spatially uniform, that is, all portions of the wall simultaneously undergo the same temperature-time variation. The greater part of the analysis is concerned with the response to a step change in wall temperature, and the time required to reach steady state is given for this type of transient. Then the results are generalized to apply for arbitrary variations with time.
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June 1960
Research Papers
Heat Transfer for Laminar Flow in Ducts With Arbitrary Time Variations in Wall Temperature
Robert Siegel
Robert Siegel
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio
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Robert Siegel
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio
J. Appl. Mech. Jun 1960, 27(2): 241-249 (9 pages)
Published Online: June 1, 1960
Article history
Received:
March 17, 1959
Online:
September 16, 2011
Citation
Siegel, R. (June 1, 1960). "Heat Transfer for Laminar Flow in Ducts With Arbitrary Time Variations in Wall Temperature." ASME. J. Appl. Mech. June 1960; 27(2): 241–249. https://doi.org/10.1115/1.3643945
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