Convective Heat Transfer PastSmall Cylindrical
نویسنده
چکیده
Convective heat transfer from an array of small, cylindrical bodies of arbitrary shape in an unbounded, two-dimensional domain is a singular perturbation problem involving an innnite logarithmic expansion in the small parameter ", representing the order of magnitude of the size of the bodies. Using the method of matched asymptotic expansions, we formulate a hybrid asymptotic-numerical method to solve for the di-mensionless, steady-state temperature. We assume that the velocity eld of the uid surrounding the bodies is arbitrary but known. From our asymptotic solution for an arbitrary velocity eld, we present the results for two special cases: a uniform ow eld and a simple shear ow eld. We demonstrate the asymptotic results of the hybrid method through a number of examples and, in a particular case, we compare to an exact analytical solution.
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