Title

NUMERICAL STUDY OF 2D MHD CONVECTION
AROUND PERIODICALLY PLACED CYLINDERS

Authors

Harijs Kalis, Maksims Marinaki
Institute of Mathematics and Computer Science
University of Latvia
Raiņa bulvāris 29, Rıga LV-1459, LATVIA

Abstract

In this paper 2D stationary boundary value problem for the system of magnetohydrodynamic (MHD) equations along with the heat transfer equation is considered. The viscous electrically conducting incompressible liquid-electrolyte is to move between infinite cylinders placed periodically. Similarly 2D MHD channel flow with periodically placed obstacles on the channel walls is examined. We analyze the 2D MHD convection around the cylinders and obstacles subject to homogeneous external magnetics field. The cylinders, obstacles and walls of channel with constant temperature are heated.

The goal of such investigation is to obtain the distributions of stream function, temperature, velocity and the vortex formation in the cross-section plane of the cylinders and obstacles depending on the external magnetic field and on the direction of the gravitation. For the numerical treatment finite difference method is used.

History

Received: June 9, 2016
Revised: October 25, 2016
Published: November 5, 2016

AMS Classification, Key Words

AMS Subject Classification: 35Q35, 65N06, 65N22, 76W05, 76D17
Key Words and Phrases: nonlinear PDE problem, finite-difference, MHD, heat transfer

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v110i3.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 110
Issue: 3
Pages: 503 - 517

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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