Perturbation Analysis of Rivlin-Ericksen Fluid on Heat Transfer in the Presence of Heat AbsorptionAuthor : Y. Sudarshan Reddy, K. S. Balamurugan and G. Dharmaiah
Volume 8 No.3 July-December 2019 pp 14-20
The problem of visco-elastic Rivlin-Ericksen fluid flow past a semi- infinite vertical plate embedded in a porous medium with variable temperature and suction in the presence of a uniform transverse magnetic field and thermal buoyancy effect is considered. The plate is assumed to move with a constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time-dependent wall suction is assumed to occur at the permeable surface. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and some graphical results such as visco-elastic parameter Rm, heat absorption parameter Q, Grashof number Gr, Prandtl number Pr, time t, suction velocity parameter A, moving velocity parameter Up and an exponential parameter ε, for the velocity and temperature profiles within the boundary layer are presented. Skin-friction coefficient, Nusselt numbers are also discussed with the help of the tables.
Variable Temperature, Vertical Plate, Suction, Heat Absorption, Rivlin-Ericksen Flow
 G. G. Stokes, “Flow of viscous incompressible fluid past an impulsively started infinite horizontal plate”, Cambridge Phil. Trans., Vol. 9, pp. 8-17, 1851.
 K. R. Choubey and R. R. Yadav, “Magneto hydrodynamic flow of a non-newtonian fluid past a porous plate”, Astrophysics and Space Science, Vol. 115, pp. 345-351, 1985.
 Basant Kumar Jha, “MHD free-convection and mass transfer flow of an elasto-viscous fluid”, Astrophysics and Space Science, Vol. 185, pp. 129-135, 1991.
 N. K. Samria, R. Prasad and M. U. S. Reddy, “MHD free-convection flow of a visco-elastic fluid past an infinite vertical plate”, Astrophysics and Space Science, Vol. 181, pp. 135-145, 1991.
 M. Hameed and Nadeem, “Unsteady mhd flow of a non-newtonian fluid on a porous plate”, J.Math.Anal, Vol. 325, pp. 724-733, 2007.
 R. A. Damesh and B. A. Shannak, “Visco-elastic fluid flow past an infinite vertical porous plate in the presence of first order chemical reaction”, App. Math. Mech., Vol. 31, pp. 955-962, 2010.
 T. M. Nabil, Eldabe, N. S. Sallam, Y. Mohamed and Abou-Zeid, “Numerical study of viscous dissipation effect on free convection heat and mass transfer of mhd non-newtonian fluid flow through a porous medium”, Journal of Egyptian Mathematical Society, Vol. 20, pp. 139-151, 2012.
 H. A. Attia, “Unsteady flow of a non-newtonian fluid above a rotating disk with heat transfer”, Int. J. of Heat and Mass Transfer, Vol. 46, pp. 2695-2700, 2013.
 M. V. Ramanamurthy, “Magnetohydrodynamics rivlin-ericksen flow through porous medium in slip flow regime”, IJSETR, Vol. 4, 2015.
 B. M. Rao, G. V. Reddy, M. C. Raju and S. V. K. Varma, “Unsteady mhd free convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate with heat absorption, radiation, chemical reaction and soret effects”, International Journal of Engineering Sciences & Emerging Technologies, Vol. 6, pp. 241-257, 2013.
 S. Harinath Reddy, M. C. Raju and E. Keshava Reddy, “Unsteady mhd free convection flow of a kuvshinski fluid past a vertical porous plate in the presence of chemical reaction and heat source/sink”, International Journal of Engineering Research in Africa, Vol. 14, pp. 13-27,2015.
 B. Vidyasagar, M. C. Raju, S. V. K. Varma and S. V. Ramana, “Unsteady mhd free convection boundary layer flow of radiation absorbing kuvshinski fluid through porous medium”, Review of Advances in Physics Theories and Applications, Vol.1, pp. 48-62, 2014.
 Y. J. Kim, “Unsteady mhd convective heat transfer past a semi-infinite vertical porous moving plate with variable suction”, Int J Eng Sci, Vol.38, pp.833-45, 2000.