Influence of Magnetic Field in Three-Dimensional Flow of Couple Stress Nanofluid over a Nonlinearly Stretching Surface with Convective Condition

Abstract

This article investigates the magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid subject to the convective boundary condition. Flow is generated due to a nonlinear stretching of the surface in two lateral directions. Temperature and nanoparticles concentration distributions are studied through the Brownian motion and thermophoresis effects. Couple stress fluid is considered electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is developed via boundary layer approach. Nonlinear ordinary differential systems are constructed by employing suitable transformations. The resulting systems have been solved for the convergent series solutions of velocities, temperature and nanoparticles concentration profiles. Graphs are sketched to see the effects of different interesting flow parameters on the temperature and nanoparticles concentration distributions. Numerical values are computed to analyze the values of skin-friction coefficients and Nusselt number.

Finite element analysis of couple stress micropolar nanofluid flow by non‐Fourier's law heat flux model past stretching surface

“…Ghosh et al investigated the couple stress effects on the three‐dimensional flow of magnetite‐water based nanofluid over an extended surface in the presence of nonlinear thermal radiation. The magnetohydrodynamics (MHD) flow of couple stress fluid past different geometries has been studied by different scholars in the recent decade …”

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

“…Khan et al [11] scrutinized the incompressible and unsteady couple stress fluid flow considering three dimensional cylindrical polar coordinate systems. Hayat et al [12] measured the flow of couple stress nanofluid with convective conditions. The fluid temperature and concentration are increased with escalating couple stress parameter.…”

An Assessment of Couple Stress Theories

“…This can be seen for Poiseuille 10 flow through circular pipes (Stokes, 1966(Stokes, , 1984, where the velocity profile and stresses depend on both viscous parameters  and  . It turns out in some three-dimensional cases with velocity boundary conditions the results for velocities may look fine (Sunil et al, 2011(Sunil et al, , 2013Hayat et al, 2015;Hayat et al,2017). However, the couple-stress distribution inside the fluid depends on  .…”