Forced Heat and Mass Transfer From a Slightly Deformed Sphere at Small but Finite Peclet Numbers in Stokes Flow
Keyword(s):
The fundamental problem of heat and mass transfer from a slightly deformed sphere at low but finite Peclet numbers in Stokes flow is solved by a combined regular and singular perturbation method. The deformed sphere is assumed to be axisymmetric and its shape is described by a power series in a small parameter; the correction to the Nusselt number due to the deformation of the sphere is obtained through a regular perturbation with respect to this parameter. On the contrary, the correction to the Nusselt number due to the small Peclet number is derived by applying a singular perturbation method. The analytical solution is derived for the averaged Nusselt number in terms of the Peclet number and the deformation parameter.
2013 ◽
Vol 26
(4)
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pp. 392-396
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Keyword(s):
1978 ◽
Vol 33
(7)
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pp. 913-919
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1968 ◽
Vol 46
(4)
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pp. 217-222
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2007 ◽
Vol 24
(10)
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pp. 3317
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