Abstract
An orthogonal expansion technique for solving some heat- or mass-transfer problems in counterflow systems is developed and applied to two idealized transport problems. The method of solution is based on Sturmian theory and requires both positive and negative eigenvalues for completeness. Local and mean Nusselt numbers are reported as functions of the parameters of the two systems. An iterative finite difference method for solving the same problems is described and the results of the two methods compared.
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