THERMAL SCIENCE

International Scientific Journal

Aleksandar Z. Boričić

,

Miloš M. Jovanović

,

Branko Z. Boričić

UNSTEADY MAGNETOHYDRODYNAMIC THERMAL AND DIFFUSION BOUNDARY LAYER FROM A HORIZONTAL CIRCULAR CYLINDER

ABSTRACT
The unsteady 2-D dynamic, thermal, and diffusion magnetohydrodynamic laminar boundary layer flow over a horizontal cylinder of incompressible and electrical conductivity fluid, in mixed convection in the presence of heat source or sink and chemical reactions. The present magnetic field is homogenous and perpendicular to the body surface. It is assumed that induction of outer magnetic field is a function of longitudinal co-ordinate outer electric field is neglected and magnetic Reynolds number is significantly lower than one, i. e. considered the problem is in approximation without induction. Fluid electrical conductivity is constant. Free stream velocity, temperature, and concentration on the body are functions of longitudinal co-ordinate. The developed governing boundary layer equations and associated boundary conditions are made dimensionless using a suitable similarity transformation and similarity parameters. System of non-dimensionless equations is solved using the implicit finite difference three-diagonal and iteration method. Numerical results are obtained and presented for different Prandtl, Eckart, and Schmidt numbers, and values: magnetic parameter, temperature, and diffusion parameters, buoyancy temperature parameters, thermal parameter, and chemical reaction parameter. Variation of velocity profiles, temperature and diffusion distributions, and many integral and differential characteristics, boundary layer, are evaluated numerically for different values of the magnetic field. Transient effects of velocity, temperature and diffusion are analyzed. A part of obtained results is given in the form of figures and corresponding conclusions.
KEYWORDS
buoyancy forces, chemical reaction, circular horizontal cylinder, heat source or sink, magnetohydrodynamic boundary layer, mass and heat transfer, mixed convection
PAPER SUBMITTED: 2016-04-04
PAPER REVISED: 2016-09-10
PAPER ACCEPTED: 2016-09-15
PUBLISHED ONLINE: 2016-12-25
DOI REFERENCE: https://doi.org/10.2298/TSCI16S5367B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 5, PAGES [S1367 - S1380]
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UNSTEADY MAGNETOHYDRODYNAMIC THERMAL AND DIFFUSION BOUNDARY LAYER FROM A HORIZONTAL CIRCULAR CYLINDER

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence