Non-linear convection flow of micro polar nanofluid past an isothermal sphere

Abstract

In this study, steady laminar two dimensional boundary layer flow of non-linear convection micropolar nanofluid over an isothermal sphere is examined. The mathematical developing for the flow problem has been made. By means of appropriate similarity transformation and dimensionless variable, the governing non-linear boundary value problems were reduced into combined high order non-linear ordinary differential equations. Then, solution for velocity, microrotation, temperature and concentration has been obtained numerically. The equations were calculated using method bvp4c from matlab software for various quantities of main parameters. The influences of diffident parameters on skin friction coefficient, wall duo stress coefficient the Nusselt number, Sherwood number as well as the velocities, temperature, and concentration are analyzed and discussed through the tables and plotted graphs. A comparison with previous paper obtainable in the literature has been performed and an excellent agreement is obtained. The finding results indicate the raise in either the values of thermal Grashof number Gr or Brownian motion parameter Nb or Schmidt number Sc allows to bringing down the kinematic viscosity of the fluid causes improve the temperature profile distribution within the boundary layer. On the other hand, it can be diminished by the growth in either the value of solutal Grashof number Gm or solutal non linear convection parameter s which agrees to enlarge fluid density.Nomenclature

Numerical Computation of Non-linear Convection Flow of Micro-polar Fluids over Non-Isothermal Cylinder

“…For the number of spots larger than apposite mesh number of spots, the correctness is not affected. 2 it can be seen that the numerical values of the Nusselt number -θ (0) in current study for various values of s and α when λ =0.5, Pr = 0.7 is in an excellent agreement with the pervious outcomes of reported studies by [17] and [13]. The results indicate that the numerical used in the information is truthful and highly accurate.…”

“…Wubshet and Shanker [11] have informed the manipulates of magnetic area and thermal radiation on nanofluid past non-isothermal ball along extending layer by non-isothermal wall temperature in addition to non-isothermal thermal fluctuation. Recently, Wubshet and Chaluma ([12], [13], [14]) have been investigated that increasing in thermal nonlinear convection exhibits the enhancing feature on Nusselt number, skin friction coefficient, velocity fields close the outside of sphere, disk and cylinder while it shows the decreasing behaviour on thermal field. This effect happen due to higher density of the fluid which relates to lower the momentum diffusion and higher thermal diffusion close wall of sphere, disk with cylinder All the above quoted papers have been presenting the current past a flat surface, isothermal sphere,disk, cylinder.…”