Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface

Abstract

The three-dimensional unsteady flow induced in a second-grade fluid over a stretching surface has been investigated. Nonlinear partial differential equations are reduced into a system of ordinary differential equations by using the similarity transformations. The homotopy analysis method (HAM) has been implemented for the series solutions. Graphs are displayed for the effects of different parameters on the velocity field.

Newtonian heating and magnetohydrodynamic effects in flow of a Jeffery fluid over a radially stretching surface

“…Equations 10 and 11 were solved in combination with the boundary conditions of Equation 12 by employing the HAM (Liao, 2004;Rashidi et al, 2009;Hayat et al, 2010bHayat et al, , 2011d. Here f  and   are selected as auxiliary parameters for the functions f and  , respectively in order to adjust and control the convergence of the obtained solutions.…”

“…A Jeffery fluid model (Kothandapani and Srinivas, 2008;Hayat et al, 2011c) has been selected here, because it has a different rheology than a viscous fluid. The homotopy analysis method (HAM) (Liao, 2004;Rashidi et al, 2009, Hayat et al, 2010b, Hayat et al, 2011d is used for the solutions development. It is due to the reason that the HAM does not depends upon any small/large physical parameters in the problem.…”

Stagnation Point Flow of Burgers' Fluid and Mass Transfer with Chemical Reaction and Porosity

“…Hence contents of present investigations are important for scientists and engineers in order to become familiar with the flow behavior and properties of such MHD flow and the way to predict the properties of this flow for the process equipments. The arising nonlinear problem here is computed by a homotopy analysis method [20][21][22][23][24][25]. Convergence of the derived solution is checked.…”

Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness

“…These reactions occur in biochemical mechanism, burning and catalysis etc[27][28][29][30]. Unsteady flow of couple stress fluid in presence of chemical reaction is addressed by Hayat et al[31]. Rashidi et al[32] investigated the mixed convection boundary layer flow with chemical reaction effect.…”