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

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

An Exact Solution for Fluid Convection Near an Infinite Vertical Plate in a Rotating System

Author(s):

Pallath Chandran

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

chandran@squ.edu.om

Nirmal C Sacheti

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

nirmal@squ.edu.om

Ashok K Singh

Department of Mathematics, Faculty of Science,
Banaras Hindu University
Varanasi - 221005, India

ashok@banaras.ernet.in

Abstract:

The unsteady convective flow of a viscous, heat conducting fluid near an infinite vertical plate has been considered in a system rotating with a constant angular velocity. The governing partial differential equations have been solved exactly for the special case of Prandtl number equal to unity. Analytical expressions for the primary and secondary velocity profiles in the boundary layer as well as the corresponding skin friction components have been presented. The effects of rotation on the boundary layer flow and the skin friction have been discussed using the exact solution.

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