Bell, C. G. and Byrne, H. M. and Whiteley, J. P. and Waters, S. L.
A note on heat and mass transfer from a sphere in Stokes
flow at low Péclet number. Applied Mathematics Letters . (Submitted)
We consider the low Péclet number, Pe ≪ 1, asymptotic solution for steady-state heat and mass transfer from a sphere immersed in Stokes flow with a Robin boundary condition on its surface, representing Newton cooling or a first-order chemical reaction. The application of van Dyke’s rule up to terms of O(Pe3) shows that the O(Pe3 log Pe) terms in the expression for the average Nusselt/Sherwood number are double those previously derived in the literature. Inclusion of the O(Pe3) terms is shown to increase significantly the range of validity of the expansion.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||24 Nov 2012 08:57|
|Last Modified:||29 May 2015 19:19|
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