ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Unsteady Boundary Layer Flow of a Radiating Fluid under the Influence of an Applied Magnetic Field

Author(s):

Pallath Chandran

Department of Mathematics and Statistics
College of Science, Sultan Qaboos University
PC 123, Al Khod, Muscat, Sultanate of Oman

chandran@squ.edu.om

Nirmal C Sacheti

Department of Mathematics and Statistics
College of Science, Sultan Qaboos University
PC 123, Al Khod, Muscat, Sultanate of Oman

nirmal@squ.edu.om

Abstract:

We consider the unsteady free convection flow of an electrically conducting fluid near a vertical plate undergoing impulsive motion. The fluid is assumed to be radiating, and subjected to an externally applied magnetic field. Using the well-known Rosseland approximation for the radiative heat transfer, the boundary layer equations governing the flow have been solved analytically. The solutions have been obtained corresponding to constant temperature as well as constant heat flux conditions at the plate. There arise four non-dimensional parameters, whose influence on the velocity profiles have been discussed.

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