Heat or mass transfer from a sphere in Stokes flow at low Péclet number
KAUST Grant NumberKUK-C1-013-04
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AbstractWe consider the low Péclet number, Pe≪1, asymptotic solution for steady-state heat or 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(Pe3logPe) terms in the expression for the average Nusselt/Sherwood number are twice those previously derived in the literature. Inclusion of the O(Pe3) terms is shown to increase the range of validity of the expansion. © 2012 Elsevier Ltd. All rights reserved.
CitationBell CG, Byrne HM, Whiteley JP, Waters SL (2013) Heat or mass transfer from a sphere in Stokes flow at low Péclet number. Applied Mathematics Letters 26: 392–396. Available: http://dx.doi.org/10.1016/j.aml.2012.10.010.
SponsorsThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). SLW is grateful for funding from the EPSRC in the form of an Advanced Research Fellowship.
JournalApplied Mathematics Letters