Numerical study of mixed convection MHD flow in vertical channels using differential transformation method

Chin-Chia Liu

doi:10.12785/amis/091L13

Numerical study of mixed convection MHD flow in vertical channels using differential transformation method

Chin-Chia Liu

Department of Industrial Education and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of combined forced and free convection in a parallel-plate vertical channel is relevant in many industrial and engineering applications, such as heat exchangers, chemical processing equipment, fluid transport, and so on. A numerical analysis is performed within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation, and is therefore relevant for MHD flow with high values of the dynamic viscosity as well as for high velocity flows. The non-linear governing equations for the velocity and temperature fields are solved using the differential transformation method. It is shown that the numerical results are in good agreement with the analytical solutions.

Original language	English
Pages (from-to)	105-110
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	9
Issue number	1
DOIs	https://doi.org/10.12785/amis/091L13
Publication status	Published - 2015 Jan 1

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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abstract = "The problem of combined forced and free convection in a parallel-plate vertical channel is relevant in many industrial and engineering applications, such as heat exchangers, chemical processing equipment, fluid transport, and so on. A numerical analysis is performed within a combined forced and free convective magnetohydrodynamic (MHD) flow in a parallel-plate vertical channel. The MHD flow is assumed to be steady state, laminar and fully developed. The analysis takes account of the effects of both Joule heating and viscous dissipation, and is therefore relevant for MHD flow with high values of the dynamic viscosity as well as for high velocity flows. The non-linear governing equations for the velocity and temperature fields are solved using the differential transformation method. It is shown that the numerical results are in good agreement with the analytical solutions.",

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