In a recent paper by Michaelides and Feng (1994) it was discovered that there are history terms in the unsteady heat conduction equation from a small sphere. The history terms are analogous to the terms found in the equation of motion of the sphere, which sometimes are called “Basset terms.” An analysis is presented here for the unsteady heat transfer from a sphere, when its surface temperature undergoes a step change. The singular perturbation technique is used to obtain short and longtime solutions, first in the vicinity of the sphere and then far from the sphere. The solution obtained is for finite but low Peclet numbers. It appears that in the case of the step temperature, change, the history terms are reduced to an analytical expression of the error function.
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March 1996
Research Papers
Unsteady Heat Transfer From a Sphere at Small Peclet Numbers
Zhi-Gang Feng,
Zhi-Gang Feng
Department of Mechanical Engineering, Tulane University, New Orleans LA 70118
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E. E. Michaelides
E. E. Michaelides
Department of Mechanical Engineering, Tulane University, New Orleans LA 70118
Search for other works by this author on:
Zhi-Gang Feng
Department of Mechanical Engineering, Tulane University, New Orleans LA 70118
E. E. Michaelides
Department of Mechanical Engineering, Tulane University, New Orleans LA 70118
J. Fluids Eng. Mar 1996, 118(1): 96-102 (7 pages)
Published Online: March 1, 1996
Article history
Received:
October 14, 1994
Revised:
October 24, 1995
Online:
December 4, 2007
Connected Content
A companion article has been published:
Computation and Simulation of Wake-Generated Unsteady Pressure and Boundary Layers in Cascades: Part 2—Simulation of Unsteady Boundary Layer Flow Physics
Citation
Feng, Z., and Michaelides, E. E. (March 1, 1996). "Unsteady Heat Transfer From a Sphere at Small Peclet Numbers." ASME. J. Fluids Eng. March 1996; 118(1): 96–102. https://doi.org/10.1115/1.2817522
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