This paper describes a hybrid analytical-numerical solution of conjugate heat transfer of laminar flow in a circular duct with axial wall conduction. An improved lumped-differential formulation is used to treat heat conduction in the wall; the Generalised Integral Transform Technique (GITT) is used to solve the energy equation in laminar flow. The coupled partial differential equations in the solid and fluid regions are reduced to a set of coupled ordinary differential equations. Analytical solution is obtained for a truncated set of ordinary differential equations. Improvement is expected over classical lumped models which are only applicable to problems with Biot numbers less than 0.1.
Improved Hybrid Solution of Conjugate Heat Transfer of Laminar Convection in Ducts With Axial Wall Conduction
Su, J, & de Castro, ACR. "Improved Hybrid Solution of Conjugate Heat Transfer of Laminar Convection in Ducts With Axial Wall Conduction." Proceedings of the ASME 2003 Heat Transfer Summer Conference. Heat Transfer: Volume 1. Las Vegas, Nevada, USA. July 21–23, 2003. pp. 179-186. ASME. https://doi.org/10.1115/HT2003-47019
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