Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids

Abstract

In this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and chemical reaction. The governing partial differential equations along with the boundary conditions were reduced to dimensionless forms by using suitable similarity transformation. The resulting system of ordinary differential equations with the corresponding boundary conditions was solved via the homotopy analysis method. The results of the study show that velocity, temperature, and concentration boundary layer thicknesses generally decrease as we move away from the surface of the stretching sheet and the Williamson parameter was found to retard the velocity but it enhances the temperature and concentration profiles near the surface. It was also found that increasing magnetic field strength, thermal radiation, or rate of chemical reaction speeds up the mass transfer but slows down the heat transfer rates in the boundary layer. The results of this study were compared with some previously published works under some restrictions, and they are found in excellent agreement.

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

“…In recent years, many scientists worked on the Williamson model to study the behavior of non-Newtonian fluids. Kebede et al [1] recently reported the heat and mass transport in Williamson nanofluids. Kumar et al [2] investigated the MHD fluid flow bounded by a curved sheet for the Williamson fluid model.…”

Effects of heat and mass transfer on MHD nonlinear free convection non‐Newtonian fluids flow embedded in a thermally stratified porous medium

“…They employed analytical solutions to their flow equations and found out that an increase in the Williamson parameter produces an increase to the velocity profile. Tesfaye et al 8 recently examined heat along with mass transport in the unsteady flow of a Williamson nanofluid. They found out in their study that the rate of heat transport increases with the unsteadiness parameter.…”

Analytical study of heat and mass transfer in unsteady MHD radiant flow of Williamson nanofluid over stretching sheet with heat generation and chemical reaction

“…To this end, Alfvén 1 introduced the concept of magnetohydrodynamics (MHD) in 1970 and since then, it became one of the active areas of research by several investigators. [2][3][4][5][6][7] On the other hand, several industries and technological devices have been using fluids, such as water, air, toluene, engine oil, or ethylene glycol in their thermal management systems. However, these classical fluids have inherently very low thermal conductivity and cannot be applied in high cooling processes.…”

“…Thus, we may need certain external mechanisms such as electromagnetic techniques to safely process and regulate these operations more efficiently. To this end, Alfvén 1 introduced the concept of magnetohydrodynamics (MHD) in 1970 and since then, it became one of the active areas of research by several investigators 2‐7 …”

“…Later, this model was found to represent the flow of many practical fluids such as blood and polymer solutions and it agrees well with the experimental findings 19 . Recently, Shawky et al, 20 Bibi et al, 6 and Kebede et al 7 reported the impacts of various thermophysical parameters on MHD boundary layer flow of Williamson nanofluids over stretching sheet.…”