Numerical simulation for transient flow of Williamson fluid with multiple slip model in the presence of chemically reacting species

Abstract

Purpose The purpose of this paper is to analyze a mathematical model for the time-dependent flow of non-Newtonian Williamson liquid because of a stretching surface. The mathematical formulation of the current model is accomplished from the momentum, energy and concentration balances by assuming a laminar, two-dimensional and incompressible flow subjected to a variable magnetic field. The study further aimed at discovering the possible effects of temperature-dependent thermal conductivity on the heat transfer characteristics. Design/methodology/approach In addition, a first-order chemical reaction is considered between the fluid and chemically reacting species. The governing transport model for Williamson fluid has been altered to ordinary differential equations via appropriate dimensionless parameters. These basic non-dimensional partially coupled differential equations of fluid motion are solved by an efficient Runge–Kutta–Fehlberg integration scheme along with the Nachtsheim–Swigert shooting technique. Findings It is found that the velocity slip parameter has a reducing impact on the skin friction coefficient. Moreover, we noticed that the Hartmann number and variable thermal conductivity parameters show prominent impacts on the velocity and temperature fields. It is also perceived that the fluid temperature shows an increasing trend with uplifting values of variable thermal conductivity. Originality/value No such work is yet published in the literature.

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

“…The equations [ [16] , [17] , [18] , [19] ] are subjected to the boundary conditions [ [20] , [21] , [22] ] according to Animasaun [33]: …”

“…We introduce the following dimensionless variables into [ [16] , [17] , [18] , [19] ]: finally, the resulting dimensionless non-linear ODEs are obtained as: …”

“…Hamid et al [ 17 ] looked at the aspects of heat transmission and the influences of chemical reactions on time-dependent Williamson fluid flow across a linear stretching surface. They concluded that temperature and thermal boundary layer thickness reduced the Prandtl number functions.…”

Heat Transport Phenomena for the Darcy–Forchheimer Flow of Casson Fluid over Stretching Sheets with Electro-Osmosis Forces and Newtonian Heating

“…Furthermore, the impact of electro-osmosis forces, viscous dissipation and Newtonian heating on Casson fluid were investigated in this study. The governing partial differential equations were modified and converted to nonlinear ordinary differential equations and then numerically tackled by shooting [44][45][46][47]. The impacts of embedded flow control parameters on fluid velocity, temperature, velocity gradient, and heat transfer rate have been graphically demonstrated and explored.…”

Magnetized Dissipative Soret Effect on Chemically Reactive Maxwell Fluid over a Stretching Sheet with Joule Heating

“…Their analysis shows that the Bejan number is increased with the rising of the Weissenberg number. Hamid et al [45] investigated the unsteady Williamson fluid flow over an elongating sheet with multiple slip conditions under the action of a chemical reaction. Hashim [46] discussed the influence of magnetic field on Williamson nanofluid flow over an expanding/contracting cylinder under the influence of convective boundary conditions with multiple solutions.…”