On Comparison of Series and Numerical Solutions for Flow of Eyring-Powell Fluid with Newtonian Heating And Internal Heat Generation/Absorption

Abstract

In this paper, we have investigated the combined effects of Newtonian heating and internal heat generation/absorption in the two-dimensional flow of Eyring-Powell fluid over a stretching surface. The governing non-linear analysis of partial differential equations is reduced into the ordinary differential equations using similarity transformations. The resulting problems are computed for both series and numerical solutions. Series solution is constructed using homotopy analysis method (HAM) whereas numerical solution is presented by two different techniques namely shooting method and bvp4c. A comparison of homotopy solution with numerical solution is also tabulated. Both solutions are found in an excellent agreement. Dimensionless velocity and temperature profiles are plotted and discussed for various emerging physical parameters.

Dual stratified mixed convection flow of Eyring-Powell fluid over an inclined stretching cylinder with heat generation/absorption effect

“…(20) reduces to the flow problem given by Grubka and Bobba. 30 Table V is constructed to compare the heat transfer rate for various values of Prandtl number Pr in a limited sense. An excellent agreement has been found which leads to conformity of present work.…”

“…The influence of mixed convection on Eyring-Powell nano fluid flow along a stretching sheet was addressed by Malik et al 28 Goswami et al 29 presented the flow of Eyring-Powell fluid in the presence of electroosmosis with interfacial slip effect. Hayat et al 30 discussed the both numerical and series solution of the Eyring-Powell fluid flow in the presence of internal heat generation/ absorption and Newtonian heating effects. The heat transfer along Eyring-Powell fluid flow with variable thermal conductivity was analyzed by Megahed.…”

Impact of the Cattaneo‐Christov thermal and solutal diffusion models on the stagnation point slip flow of Walters' B nanofluid past an electromagnetic sheet

“…Walters' B fluid provides the first order approximation to elasticity, and its low order elasticity reduces the flow instability. The Walters' B fluid model characterizes the polymeric liquids in biotechnology and chemical engineering …”

MHD dissipative fluid past a stretching sheet in the presence of Soret effect with Newtonian convective heat and mass conditions

“…The radiation effects on free convection flow near a moving vertical plate with Newtonian heating was also studied by Narahari and Ishak . Hayat et al have made the comparison of series and numerical solutions for a flow of Eyring‐Powell fluid with Newtonian heating and internal heat generation/absorption. Khan et al investigated the hydromagnetic nonlinear thermally radiative nano‐liquid flow with Newtonian heat and mass conditions.…”

“…The radiation effects on free convection flow near a moving vertical plate with Newtonian heating was also studied by Narahari and Ishak. 39 Hayat et al 40 The process of heat and mass transfer in porous media finds applications in many of engineering branches. In industrial applications it is found in glass fiber production, hot rolling and wire drawing, the extrusion of plastic sheets, glass blowing, and drawing plastic films under different heating processes.…”