Magnetohydrodynamics (MHD) stagnation point flow past a shrinking/stretching surface with double stratification effect in a porous medium

Abstract

The present work emphasizes the MHD mixed convective stagnation point flow over a shrinking/stretching surface saturated in a porous medium. The double stratification with heat source effects are also considered while the magnetic field is imposed normal to the sheet. The governing model (partial differential equations) is converted into a system of ordinary (similarity) differential equations using similarity transformations. The boundary value problem solver (bvp4c) in the MATLAB software is utilized for the numerical computations. Numerical results are graphically illustrated in the form of velocity, temperature and concentration profiles for several values of buoyancy, magnetic, thermal and solutal stratification parameters. The graphs of skin friction coefficient, local Nusselt and Sherwood numbers portray that the dual solutions are achievable within a certain range of the buoyancy and velocity ratio parameters. Both assisting and opposing flow cases can generate two solutions, whereas the forced convective flow only produces a unique solution. The execution of stability analysis affirms the reliability of the first solution. Both heat and mass transfer rates intensify with the increment of the velocity ratio parameter for all type of convective flows. The fluid temperature and concentration decrease with the increment of the thermal and solutal stratification parameters, respectively, whereas the magnetic and buoyancy parameters reduce both temperature and concentration profiles.

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

“…The appearance of dual solutions were noticed with the imposition of suction parameter. Unlike Khashi’ie et al [ 26 ], the nanoliquid temperature and concentration profiles slightly inclined with the increment of thermal and solutal stratification parameters, respectively. This might be due to the application of strong suction and nanoparticles.…”

“…The first (upper branch) solution is denoted for the first solution which satisfies the far field boundary condition. The current studies that discussed the stability formulation and analysis were reported by Khashi’ie et al [ 26 , 27 ], Bakar et al [ 36 , 37 ], Yahaya et al [ 38 ], Salleh et al [ 39 , 40 ] and Jamaluddin et al [ 41 ]. Additionally, the stability formulation for micropolar fluid flow towards a stretching/shrinking surface was recently reported by Soid et al [ 13 ] and Lok et al [ 42 ].…”

“…There is also a connection between stratification and convection processes under this phenomenon [ 25 ]. Khashi’ie et al [ 26 ] investigated the dual and stable solutions of MHD mixed convective stagnation point flow with double stratification impact using viscous fluid model. The thermal and solutal stratification parameter reduced the liquid temperature and concentration, accordingly, while both temperature and concentration profiles diminished with the augmentation of the magnetic and buoyancy parameters.…”

Dual Solutions and Stability Analysis of a Hybrid Nanofluid over a Stretching/Shrinking Sheet Executing MHD Flow

“…According to Haris et al [38] and Khashi'ie et al [39], one boundary condition has to be relaxed in order to obtain the value(s) of the smallest eigenvalue. It should be noted that this relaxation in boundary condition does not affect the results [40].…”

Effects of Chemical Species and Nonlinear Thermal Radiation with 3D Maxwell Nanofluid Flow with Double Stratification—An Analytical Solution

“…Simultaneous illustration of Jeffrey fluid with thermally radiated and thermally stratified medium via an extended surface is investigated by Hayat et al [ 37 ]. Some more observations about the research thermal and solutal stratification under different perspectives can be found at [ 38 , 39 , 40 , 41 , 42 , 43 ] many therein.…”