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

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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.

Original languageEnglish
Pages (from-to)105-110
Number of pages6
JournalApplied Mathematics and Information Sciences
Volume9
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1

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Differential Transformation Method
Mixed Convection
Magnetohydrodynamic Flow
Mixed convection
Magnetohydrodynamics
Numerical Study
Vertical
Joule Heating
Viscous Dissipation
Forced Convection
Free Convection
Joule heating
Heat Exchanger
Forced convection
Industrial Application
Engineering Application
Temperature Field
Natural convection
Nonlinear equations
Flow velocity

All Science Journal Classification (ASJC) codes

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

Cite this

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