Abstract
In this study, a steady, incompressible, and laminar‐free convective flow of a two‐dimensional electrically conducting viscoelastic fluid over a moving stretching surface through a porous medium is considered. The boundary‐layer equations are derived by considering Boussinesq and boundary‐layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco‐elastic fluid (Walters’ liquid B and second‐grade fluid). It is clear that by the use of second auxiliary parameter, the straight line region in ℏ‐curve increases and the convergence accelerates. This research is performed by considering two different boundary conditions: (a) prescribed surface temperature (PST) and (b) prescribed heat flux (PHF). The effect of involved parameters on velocity and temperature is investigated.
Highlights
The analysis of the flow field in a boundary layer near a stretching sheet is an important part in fluid dynamics and heat transfer occurring in a number of engineering processes such as polymer processing, metallurgy, extrusion of plastic sheets, and crystal growth 1, 2
Incompressible MHD visco-elastic Rivlin-Ericksen fluid flow with small particles between two infinite moving parallel plates was analyzed via Laplace transform technique Journal of Applied Mathematics by Ghosh et al 3
The fourth-order Runge-Kutta method was applied to investigate the effects of suction/blowing on steady boundary-layer flow and heat transfer considering thermal radiation
Summary
The analysis of the flow field in a boundary layer near a stretching sheet is an important part in fluid dynamics and heat transfer occurring in a number of engineering processes such as polymer processing, metallurgy, extrusion of plastic sheets, and crystal growth 1, 2. The fourth-order Runge-Kutta method was applied to investigate the effects of suction/blowing on steady boundary-layer flow and heat transfer considering thermal radiation. Khan and Shahzad 14, studied boundary-layer flow of a nonNewtonian Sisko fluid over a radially stretching sheet and a wedge via HAM respectively, considering involved parameters. Thermal diffusion, and diffusion thermo on MHD convective flow over a rotating disk with viscous dissipation and ohmic heating was studied by Rashidi et al via HAM. They clearly stated that increase in magnetic parameter leads to decrease in the radial skin friction and increase in slip coefficient leads to an increase in the heat transfer coefficient. Aliakbar et al 25 surveyed the effects of involved parameters in MHD flow of Maxwellian fluids in presence of thermal radiation via HAM with two auxiliary parameters
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
