No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Flow and heat transfer to modified second grade fluid over a non-linear stretching sheet
1.R.S. Rivlin and J.L. Ericksen, “Stress deformation relations for isotropic materials,” J. Rat. Mech. Anal. 4, 323-425 (1955).
5.M. Jalil, S. Asghar, and M. Mushtaq, “Analytical solutions of the boundary layer flow of power-law fluid over a power-law stretching surface,” Commun. Nonlinear Sci. Numer. Simulat. 18, 1143-1150 (2013).
6.A. Shahzad and R. Ali, “MHD flow of a non-Newtonian power law fluid over a vertical stretching sheet with the convective boundary condition,” Walailak J. Sci. & Tech. 10, 43-56 (2012).
7.C.S. Man and Q.X. Sun, “On the significance of normal stress effects in the flow of glaciers,” J. Glaciology 33, 268-273 (1987).
8.C.S. Man, “Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity,” Arch. Rational Mech. Anal. 119, 35-57 (1992).
13.M. Massoudi, A. Vaidya, and R. Wulandana, “Natural convection flow of a generalized second grade fluid between two vertical walls,” Nonlinear Anal.: Real World Appl. 9, 80-93 (2008).
14.C. Wafo and Soh and E.W. Mureithi, “Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity,” Int. J. Non-Linear Mech. 41, 271-280 (2006).
16.M. Massoudi and T.X. Phuoc, “Fully developed flow of a modified second grade fluid with temperature dependent viscosity,” Acta Mech. 150, 23-37 (2001).
18.M. Pakdemirli, T. Hayat, M. Yürüsoy, S. Abbasbandy, and S. Asghar, “Perturbation analysis of a modified second grade fluid over a porous plate,” Nonlinear Anal.: Real World Appl. 12, 1774-1785 (2011).
20.K. Das, S. Jana, and P.K. Kundu, “Thermophoretic MHD slip flow over a permeable surface with variable fluid properties,” Alexandria Engineering J. 54, 35-44 (2015).
22.T.R. Mahapatra, S.K. Nandy, and A.S. Gupta, “Analytic solution of magnetohydrodynamic stagnation point flow of a power-law fluid towards a stretching surface,” Appl. Math. Comput. 215, 1696-1710 (2009).
23.J.B. Mcleod and K.R. Rajagopal, “On the uniqueness of flow of a Navier-Stokes fluid due to stretching boundary,” Arch. Ration. Mech. Anal. 98, 385-395 (1987).
24.W.C. Troy, E.A. Overman, H.G.B. Ermentrout, and J.P. Keener, “Uniqueness of the flow of second oreder fluid past a stretching sheet,” Quart. Appl. Math. 44, 753-755 (1987).
Article metrics loading...
The objective of the present work is to analyze the two-dimensional boundary layer flow and heat transfer of a modified second grade fluid over a non-linear stretching sheet of constant surface temperature. The modelled momentum and energy equations are deduced to a system of ordinary differential equations by employing suitable transformations in boundary layer region and integrated numerically by fourth and fifth order Runge-Kutta Fehlberg method. Additionally, the analytic solutions of the governing problem are presented for some special cases. The secured results make it clear that the power-law index reduces both the momentum and thermal boundary layers. While the incremented values of the generalized second grade parameter leads to an increase in the momentum boundary layer and a decrease in the thermal boundary layer. To see the validity of the present results we have made a comparison with the previously published results as a special case with an outstanding compatibility.
Full text loading...
Most read this month