Effects of Mass Transfer, Radiation, Joule Heating, and Viscous Dissipation on Steady MHD Marangoni Convection Flow over a Flat Surface with Suction and Injection

Abstract

The combined effects of radiation and mass transfer on a steady MHD two-dimensional Marangoni convection flow over a flat surface in presence of Joule heating and viscous dissipation under influence of suction and injection is studied numerically. The general governing partial differential equations are transformed into a set of nonlinear ordinary differential equations by using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Runge-Kutta method along with shooting technique. The effects of governing parameters on velocity, temperature, and concentration as well as interface velocity, the surface temperature gradient, and the surface concentration gradient were presented in graphical and tabular forms. Comparisons with previously published work are performed and the results are found to be in excellent agreement.

Marangoni mixed convection flow with Joule heating and nonlinear radiation

“…The dual solutions in thermosolutal Marangoni boundary layer flow towards a flat plate with suction/injection effect can be given in Hamid et al 3 The combined effects of radiation and mass transfer in MHD two-dimensional Marangoni convection flow over a flat surface with Joule heating, viscous dissipation and suction/injection are numerically studied by Ibrahim. 4 Sreenivasulu et al 5 reported the radiative impact in steady laminar thermosolutal Marangoni convection flow of an electrically conducting fluid over a flat surface with Joule heating and viscous dissipation. Lin et al 6 analyzed magnetohydrodynamic (MHD) thermocapillary Marangoni convection heat transfer in flow of an electrically conducting power-law fluid driven by temperature gradient.…”

Soret and Dufour Effects on the Boundary Layer Magneto-Fluid Flow Past an Infinite Vertical Porous Plate

“…Jai [19] investigated the study of viscous dissipation and chemical reaction effects on flow past a stretching porous surface in a porous medium. Also, detailed mathematical research on the mutual effects of mass transfer and radiation over a time-independent MHD two-dimensional Marangoni convection flow over a smooth surface in the presence of joule-heating and viscous dissipation under the influence of suction and injection is studied by Ibrahim [20].…”

Influence of Thermodiffusion on Time Dependent Casson Fluid Flow past a Wavy Surface

“…Yih (1997) employed Keller-box algorithm to vet the mass transfer impact on the flows via surface. The numerical solution for the physical properties of the radiative fluid towards a flat surface in the presence of Joule heating was scrutinized by Ibrahim (2013). Reddy et al (2016) observed that heat transfer rate in spherically shaped nano particles is efficiently higher than that of cylindrical shaped nano particles when the flow is across a permeable flat plate.…”