MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions

Abstract

The problem of heat transfer analysis is considered in electrically conducting thin film flows with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological constitutive equation of a third grade fluid. We have solved the governing nonlinear equations of present problems using the traditional Adomian decomposition method (ADM). Particular attention is given to the combined effect of heat and MHD on the velocity field. The results include the profile of velocity, volume flux, skin friction, average velocity, and the temperature distribution across the film. The effects of model parameters on velocity, skin friction and temperature variation have been studied. Optimal homotopy asymptotic method (OHAM) is also used for comparison. The numerical results and absolute errors are derived in tables.

MHD Flow and Heat Transfer Analysis in the Wire Coating Process Using Elastic-Viscous

“…Similar to the analysis presented in [42][43][44][45], we construct the following set of equations for OHAM:…”

“…To the best of our knowledge, no one has considered the magnetohydrodynamic flow and heat transfer in wire coating analysis using elastic-viscous fluid as a coating material in a pressure-type coating die. An analytical solution of the resulting nonlinear Ordinary Differential Equation is obtained through ADM [38][39][40][41][42] and a comparison is made with OHAM [43][44][45][46] for various values of the parameters. The effect of the physical parameters on the solution is shown and discussed by using graphs of numerical values of different quantities of interest.…”

“…Here we use the Least square method to find the auxiliary constant [43][44][45]: Here we use the Least square method to find the auxiliary constant [43][44][45]:…”

“…Many researchers such as Zeeshan [37,41] and Marinca et al [43][44][45] applied this method for solving a highly nonlinear boundary value problem. The auxiliary constants C 1 , C 2 , .…”

“…Here we use the Least square method to find the auxiliary constant [43][44][45] Finally, from the solutions of Equation (A13), the approximate solution is determined. Many researchers such as Zeeshan [37,41] and Marinca et al [43][44][45] applied this method for solving a highly nonlinear boundary value problem.…”