Abstract
The boundary method of Galerkin is used to solve the problem of heat transfer in laminar flow with axial conduction. The set of particular solutions used in this calculation consists of the product of exponentially decaying functions (in the positive axial direction) and radially dependent confluent hypergeometric functions of Kummer's type. Nusselt functions and temperature profiles are presented and comparison is made with respect to the number of terms used in the trial function. The same problem is also treated by the method of boundary collocation with subsequent comparisons with the boundary method of Galerkin. Computationally, the methods presented here appear to offer considerable advantages over previously employed methods such as the interior method of Galerkin.
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