Numerical Study of Natural Convection in a Square Cavity with Magnetic field and Semi Circular Heat Source of Different Orientations

AUTHOR AND
AFFILIATION

A. SHAREEF (shareef.maths@gmail.com)
Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh 518007 (India)
R. SIVA PRASAD
Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh 515003 (India)

KEYWORDS:

Viscous fluid, Heat transfer, Convection, Finite element methods.

Issue Date:

February 2018

Pages:

129-142

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.30 – No.2

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/300204

ABSTRACT:

The effects of MHD free convection on heat flow within a square cavity. Free convection flow in the presence of magnetic field in a square cavity with semi circular heat source is studied in this paper. The lower wall of cavity is heated from below and the upper wall of cavity is cold; on the other hand, the side walls of the cavity are thermally insulated.
In the current study, Finite Element Method has been used to convert the non-linear coupled partial differential equations for flow and temperature field into a matrix form of equations, which can be solved iteratively with the help of a computer code. The Galerkin Finite Element Method of three nodded triangular elements is used to divide the physical domain into smaller segments, which is a pre-requisite for finite element method. Numerical results are presented in terms of stream functions, isotherms, temperature profiles and Nusselt numbe.

Copy the following to cite this Article:

A. Shareef; R. S. Prasad, “Numerical Study of Natural Convection in a Square Cavity with Magnetic field and Semi Circular Heat Source of Different Orientations”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 2, Page Number 129-142, 2018


Copy the following to cite this URL:

A. Shareef; R. S. Prasad, “Numerical Study of Natural Convection in a Square Cavity with Magnetic field and Semi Circular Heat Source of Different Orientations”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 2, Page Number 129-142, 2018

Available from: http://www.ultrascientist.org/paper/1147/numerical-study-of-natural-convection-in-a-square-cavity-with-magnetic-field-and-semi-circular-heat-source-of-different-orientations


The effects of MHD free convection on heat flow within a square cavity. Free convection flow in the presence of magnetic field in a square cavity with semi circular heat source is studied in this paper. The lower wall of cavity is heated from below and the upper wall of cavity is cold; on the other hand, the side walls of the cavity are thermally insulated.
In the current study, Finite Element Method has been used to convert the non-linear coupled partial differential equations for flow and temperature field into a matrix form of equations, which can be solved iteratively with the help of a computer code. The Galerkin Finite Element Method of three nodded triangular elements is used to divide the physical domain into smaller segments, which is a pre-requisite for finite element method. Numerical results are presented in terms of stream functions, isotherms, temperature profiles and Nusselt numbe.