Magnetohydrodynamic Boundary Layer Flow and Heat Transfer of a Nanofluid Over Non-Isothermal Stretching Sheet

Abstract

The boundary-layer flow and heat transfer over a non-isothermal stretching sheet in a nanofluid with the effect of magnetic field and thermal radiation have been investigated. The transport equations used for the analysis include the effect of Brownian motion and thermophoresis. The solution for the temperature and nanoparticle concentration depends on six parameters, viz., thermal radiation parameter R, Prandtl number Pr, Lewis number Le, Brownian motion Nb, and the thermophoresis parameter Nt. Similarity transformation is used to convert the governing nonlinear boundary-layer equations into coupled higher order nonlinear ordinary differential equations. These equations were numerically solved using a fourth-order Runge-Kutta method with shooting technique. The analysis has been carried out for tv.'o different cases, namely prescribed suiface temperature (PST) and prescribed heat flux (PHF) to see the ejfects of governing parameters for various physical conditions. Numerical results are obtained for distribution of velocity, temperature and concentration, for both cases i.e., prescribed surface temperature and prescribed heat flux, as well as local Nusselt number and Sherwood number. The results indicate that the local Nusselt number decreases with an increase in both Brownian motion parameter Nb and thermophoresis parameter Nt. However, the local Sherwood number increases with an increase in both thermophoresis parameter Nt and Lewis number Le. Besides, it is found that the surface temperature increases with an increase in the Lewis number Le for prescribed heat flux case. A comparison with the previous studies available in the literature has been done and we found an excellent agreement with it.

Interaction of Cu and Ag nanoparticles on MHD water‐based nanofluids past a stretching sheet

“…With the variation of thermal boundary conditions, that is, for convective boundary conditions, heat transfer of nanofluid over a vertical surface has been investigated by Ibrahim and Shanker and Ibrahim and Makinde . Moreover, Ibrahim and Shanker and Ibrahim have considered the MHD flow phenomena of nanofluid for the effect of slip over nonisothermal stretching sheet. An increase in the Lewis number is observed, which is favorable to enhance the surface temperature with prescribed heat flux case.…”

The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet

“…Wubshet and Shanker [35] also have analyzed MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Moreover, Wubshet and Makinde [36] studied the effect of double stratification on boundary layer flow and heat transfer of nanofluid over a vertical plate and Wubshet and Shankar [37] have examined magnetohydrodynamic boundary layer flow and heat transfer of a nanofluid over non-isothermal stretching sheet. More studies on nanofluid boundary layer are given in the references [38][39][40][41][42][43][44][45][46][47].…”

Tangent hyperbolic nanofluid with mixed convection flow: An application of improved Fourier and Fick's diffusion model

“…In addition, Zohra et al presented a simulation of smart electro conductive bionano polymer processing wedge geometry under bioconvective electromagnetic nanofluid transport. Moreover, Ibrahim et al gave the general idea of the above literatures as a decrease in the velocity of the flow with an increase in the magnetic parameter and opposing flows.…”