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/content/aip/journal/adva/5/4/10.1063/1.4917459
1.
1.T. Von Karman, “Uber Laminaire und turbulente reibung,” Zeit. Angew. Math. Mech. 1, 233-252 (1921).
http://dx.doi.org/10.1002/zamm.19210010401
2.
2.L. J. Crane, “Flow past a stretching plate,” Z. Angew. Math. Phys. 21, 645647 (1970).
http://dx.doi.org/10.1007/BF01587695
3.
3.C. Y. Wang, “The three-dimensional flow due to a stretching flat surface,” Phys. Fluids 27, 19151917 (1984).
http://dx.doi.org/10.1063/1.864868
4.
4.M. Turkyilmazoglu, “Exact solutions corresponding to the viscous incompressible and conducting fluid flow due to a porous rotating disk,” J. Heat Transfer 131, 091701 (2009).
http://dx.doi.org/10.1115/1.3139187
5.
5.T. Fang, “Flow over a stretchable disk,” Phys. Fluids 19, 128105 (2007).
http://dx.doi.org/10.1063/1.2823572
6.
6.T. Fang and J. Zhang, “Flow between two stretchable disks-An exact solution of the Navier-Stokes equations,” Int. Commun. Heat Mass Transfer 35, 892895 (2008).
http://dx.doi.org/10.1016/j.icheatmasstransfer.2008.04.018
7.
7.S. Asghar, M. Jalil, M. Hussan, and M. Turkyilmazoglu, “Lie group analysis of flow and heat transfer over a stretching rotating disk,” Int. J. Heat Mass Transfer 69, 140-146 (2014).
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.09.061
8.
8.L. T. Watson and C. Y. Wang, “Deceleration of a rotating disk in a viscous fluid,” Phys. Fluids 22, 22672269 (1979).
http://dx.doi.org/10.1063/1.862535
9.
9.L. T. Watson, K. K. Sankara, and L. C. Mounfield, “Deceleration of a porous rotating disk in a viscous fluid,” Int. J. Eng. Sci. 23, 131137 (1985).
http://dx.doi.org/10.1016/0020-7225(85)90022-9
10.
10.T. Fang and H. Tao, “Unsteady viscous flow over a rotating stretchable disk with deceleration,” Commun. Nonlinear Sci. Numer. Simulat. 17, 50645072 (2012).
http://dx.doi.org/10.1016/j.cnsns.2012.04.017
11.
11.R. Kandasamy, I. Muhaimin, and H. B. Saim, “Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence of heat source/sink,” Commun. Nonlinear Sci. Numer. Simulat. 15, 2109-2123 (2010).
http://dx.doi.org/10.1016/j.cnsns.2009.09.016
12.
12.M. Jalil, S. Asghar, and M. Mushtaq, “Lie group analysis of mixed convection flow with mass transfer over a stretching surface with suction or injection,” Math. Prob. Eng. 2010 (2010).
http://dx.doi.org/10.1155/2010/264901
13.
13.M. A. A. Hamad and M. Ferdows, “Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A Lie group analysis,” Commun. Nonlinear Sci. Numer. Simulat. 17, 132140 (2012).
http://dx.doi.org/10.1016/j.cnsns.2011.02.024
14.
14.M. Jalil and S. Asghar, “Flow of power-law fluid over a stretching surface: A Lie group analysis,” Int. J. Non-Linear Mech. 48, 6571 (2013).
http://dx.doi.org/10.1016/j.ijnonlinmec.2012.07.004
15.
15.M. Jalil, S. Asghar, and S. M. Imran, “Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream,” Int. J. Heat Mass Transfer 65, 7379 (2013).
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.05.049
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/content/aip/journal/adva/5/4/10.1063/1.4917459
2015-04-08
2016-12-05

Abstract

The unsteady laminar flow of an incompressible viscous fluid over a nonlinearly stretching rotating disk is investigated. The axisymmetric three-dimensional boundary layer equations are reduced into self-similar form with the help of new similarity transformation. The resulting coupled nonlinear equations are solved numerically using shooting method coupled with Range-Kutta 6 (RK-6). An exact analytical solution for the large stretching parameter is also presented. Some interesting observations are made while interpreting the results physically. Dual solutions are obtained due to the presence of unsteadiness parameter for the nonlinear stretching of the rotating disk. The analytical results reveal that for large stretching parameter the azimuthal velocity becomes negligible and the flow behaviors turn into steady state, which is the most surprising observation of the paper. These results are also verified numerically by solving original self similar equations using shooting method.

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