Abstract
This paper considers the problem of viscous dissipation in power-law fluid flow through a tube of circular cross section. The solution to the problem is obtained by a series expansion about the complete eigenfunctions system of a Sturm-Liouville problem. The eigenfunctions and eigenvalues of this Sturm-Liouville problem are obtained by Galerkin’s method. The Graetz problem is also considered. Numerical examples are given for a viscous fluid with unit Brinkman number.
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Boaca, T., Boaca, I. (2008). Laminar Forced Convection in Circular Duct for Power-Law Fluid. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science I. Lecture Notes in Computer Science, vol 4750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79299-4_8
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DOI: https://doi.org/10.1007/978-3-540-79299-4_8
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