IJPAM: Volume 66, No. 1 (2011)

ON EFFECTS OF A TRANSVERCE MAGNETIC FIELD ON
AN UCM FLUID OVER A STRETCHING SHEET

Ch. Mamaloukas$^1$, M. Subhas Abel$^2$, J.V. Tawade$^3$, U.S. Mahabaleswar$^4$
$^1$Department of Informatics
Athens University of Economics and Business
76, Patision Str., Athens, 10434, GREECE
e-mail: mamkris@aueb.gr
$^{2,3}$Department of Mathematics
Gulbarga University
Gulbarga, Kamataka, 585 106, INDIA
$^2$e-mail: msabel2001@yahoo.co.uk
$^3$e-mail: jagadish_maths@yahoo.co.in
$^4$Department of Mathematics
Bangalore University
Mangalagangothri, Bangalore, 574 199, INDIA
e-mail: usmahabalesh@yahoo.co.in


Abstract.The effects of a transverse magnetic field within a boundary layer flow on an upper-convected Maxwell (UCM) fluid over a stretching sheet is examined in this paper. Similarity transformations are used to non-dimensionalize the governing boundary layer equations of motion. The resulting ordinary differential equations are then solved numerically by using efficient numerical shooting technique with fourth order Runge-Kutta algorithm [#!15!#]. The objective of the present work is to investigate the effect of elastic parameter $\beta ,$ and magnetic parameter Mn on the temperature field above the sheet. We compare the results obtained with the results of Hayat et al [#!7!#] by several graphs.

Received: May 3, 2010

AMS Subject Classification: 35Q30, 35A35

Key Words and Phrases: UCM fluid, boundary layer, stretching sheet, similarity transformation, magnetic parameter, shooting technique

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 1