Volume 3, Issue 3-1, June 2015, Page: 6-13
General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid
M. A. Imran, Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Shakila Sarwar, Department of Mathematics, Bahauddin Zakariya University, Multan, Pakistan
D. Vieru, Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania
M. Nazar, Department of Mathematics, Bahauddin Zakariya University, Multan, Pakistan; Department of Mathematics, Wenzhou Kean University, Wenzhou, China
Received: May 19, 2015;       Accepted: May 20, 2015;       Published: Jun. 9, 2015
DOI: 10.11648/j.ajam.s.2015030301.12      View  3358      Downloads  80
Abstract
An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform technique. At the final stage, the effects of pertinent parameters on the fluid motion are numerically and graphically illustrated. A comparison between the numerical values of the velocity components given by the analytical solution and, by the Stehfest's algorithm for the inverse Laplace transform is presented.
Keywords
Free Convection, Shear Stress, Rotating Fluid, Viscous Flow, Isothermal Vertical Plate
To cite this article
M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar, General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid, American Journal of Applied Mathematics. Special Issue:Proceedings of the 1st UMT National Conference on Pure and Applied Mathematics (1st UNCPAM 2015). Vol. 3, No. 3-1, 2015, pp. 6-13. doi: 10.11648/j.ajam.s.2015030301.12
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