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International Heat Transfer Conference 12

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A Computational Algorithm to Solve Strongly-Coupled Equations of Heat and Mass Transfer

Nathan Mendes
Thermal Systems Laboratory, Department of Mechanical Engineering, Pontifical Catholic University of Parana, R. Imaculada Conceicao, 1155, Curitiba-PR, 80.215-901, Brazil

Paulo Cesar Philippi
Department of Mechanical Engineering, Federal University of Santa Catarina, Florianypolis-SC 88.040-900, Brazil

DOI: 10.1615/IHTC12.710
6 pages

Аннотация

Heat and mass conservation equations are frequently coupled. Classical solution methods are based on numerical decoupling: cross terms at a given iteration step are calculated by using the values of the potentials at the previous iteration. This procedure increases the magnitude of source terms with respect to the main diagonal terms and requires very small time steps to ensure numerical stability. This article presents a generic and robust algorithm to simultaneously solve governing equations with strong coupling among the dependent variables. It is shown that, in addition to considerably reducing the running time, it assures unconditionally stable solutions. To verify its performance, a case study of combined heat and mass transfer through a porous media is presented, for a drying process.

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