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Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

Part of: Incompressible viscous fluids Partial differential equations, boundary value problems

Published online by Cambridge University Press:  27 January 2016

R. Sivakumar ,
S. Vimala ,
S. Damodaran  and
T. V. S. Sekhar
R. Sivakumar
Affiliation:
Department of Physics, Pondicherry University, Puducherry-605 014, India
S. Vimala
Affiliation:
Department of Mathematics, Pondicherry Engineering College, Puducherry-605 014, India
S. Damodaran
Affiliation:
Department of Mathematics, Bharathidasan Govt. College for Women, Puducherry-605 003, India
T. V. S. Sekhar*
Affiliation:
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar-751 007, India
*
*Corresponding author., Email:rsk.phy@pondiuni.edu.in (R. Sivakumar), vimalaks@pec.edu (S. Vimala), sreedamo@gmail.com (S. Damodaran), sekhartvs@iitbbs.ac.in (T. V. S. Sekhar)
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Abstract.

The control of convective heat transfer from a heated circular cylinder immersed in an electrically conducting fluid is achieved using an externally imposed magnetic field. A Higher Order Compact Scheme (HOCS) is used to solve the governing energy equation in cylindrical polar coordinates. The HOCS gives fourth order accurate results for the temperature field. The behavior of local Nusselt number, mean Nusselt number and temperature field due to variation in the aligned magnetic field is evaluated for the parameters 5≤Re≤40, 0≤N≤20 and 0.065≤Pr≤7. It is found that the convective heat transfer is suppressed by increasing the strength of the imposed magnetic field until a critical value of N, the interaction parameter, beyond which the heat transfer increases with further increase in N. The results are found to be in good agreement with recent experimental studies.

Keywords

Higher Order Compact Schemeforced convectionmagnetic fieldlow Rm approximation

MSC classification

Secondary: 76D05: Navier-Stokes equations 65N06: Finite difference methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 3 , June 2016 , pp. 449 - 463
Copyright
Copyright © Global-Science Press 2016 

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