Numerical study of mixed convection and buoyancy ratio on MHD fluid flow beyond an inclined sheet

Abstract

Mixed convection is commonly used in electronic cooling processes and nuclear reactor technology. As a result, this study aims to demonstrate the mathematical formulation of fluid flow, heat and mass transfer under the controlling physical parameters such as mixed convection, buoyancy ratio, suction, magnetic field, and rotation angle of the sheet. The variation in the wall shrinking velocity, temperature and concentration is expressed as an exponential function. Since controlling equations are partial differential equations, similarity transformations convert these partial differential equations to ordinary differential equations. Finally, these ordinary differential equations are considered as a non-linear and non-dimensional boundary value problem. The final solution of these ordinary differential equations is obtained numerically by applying the Matlab bvp4c programme. Stability analysis which determines the most stable numerical solution between duel solutions is also made using the Matlab bvp4c programme. Comparing the obtained computational results to previously published data shows a good agreement. All numerical results are graphically illustrated and explained, including the velocity, temperature and concentration profiles, skin friction coefficient, local Nusselt number, and local Sherwood number.

Soret-Dufour Effects on Heat and Mass Transfer of Newtonian Fluid Flow over the Inclined Sheet and Magnetic Field

“…Moreover, the effect of Soret and Dufour parameter are also considered. Therefore, this model is the current innovation from the previous studies regarding the exponential stretching sheet [26] and the boundary inclined sheet in the MHD boundary layer flow [15,16,21,22,24,25] with the additional effect of inclined magnetic field. This boundary layer fluid flow model is restricted to the inclined shrinking sheet (negative 𝜆 ), mixed convection where the fluid flow is opposed (negative 𝑅), and the suction effect is occurred at the shrinking sheet (positive 𝑆).…”

“…The momentum equation is presented as below, with the inclusion of the inclined magnetic field as innovated from Azmi et al, [15]:…”

“…In addition, the heat-mass transfer model based on the Soret-Dufour simultaneous effect and when the fluid is affected by the inclined magnetic field is also not debated by the results of the above study. Therefore, this study is an extension of work done by Azmi et al, [15], by applying the effect of when the vector of magnetic field is projected by a certain angle from a perpendicular direction from the stretching/shrinking sheet. The current study focuses on heat and mass transfer of Newtonian fluid with Soret-Dufour effects, where the fluid is flowing over an inclined stretching or shrinking sheet.…”

“…These diffusion are recognized as Soret effect (mass transfer) and Dufour effect (heat transfer). Thus, a lot of research carried out heat and mass transfer analysis, such as in the Newtonian fluid [13][14][15][16], Bingham fluid [17][18][19], Maxwell fluid [20][21][22], Casson fluid [23][24][25], etc. These fluid are bounded by a semi-circular cylinder [14], horizontal sheet [15,16,21,22,24,25], isothermal elliptical cylinder [17], heated rotating disk [18], vertical sheet [19], permeable cylinder [20], and a cylinder in a wavy channel [23].…”