Numerical investigations on magnetic field modeling for Carreau non-Newtonian fluid flow past an isothermal sphere

Abstract

In the current study, the effects of radial magnetic field, slip and jump conditions on the steady two-dimensional free convective boundary layer flow over an external surface of an isothermal sphere for an electro-conductive polymer are numerically studied. It is assumed that the studied fluid has a non-Newtonian rheological behavior and follows the Carreau fluid model. In this investigation, the formulation of the Carreau fluid model has been used first time for describing the present boundary layer problem, and then the resulting partial differential equations are transformed to ordinary differential equations by using non-similarity transformations. The obtained ordinary differential equations are solved numerically by a well-known method named as Keller-Box method. The finding results show that a weak elevation in temperature is accompanied with the increase in the Carreau fluid parameter, whereas a significant acceleration in the flow is computed near the sphere surface. It is shown also that an increase in the thermal slip parameter allows to strongly decrease both the skin friction coefficient and the local Nusselt number. The skin friction coefficient is also depressed with increasing magnetic body force parameter. Moreover, it is observed that an increase in the momentum slip parameter allows to decrease the skin friction coefficient, whereas the local Nusselt number is reduced with the increase in the Carreau fluid parameter. It is found also that the skin friction coefficient is increased with greater stream-wise coordinate, whereas the local Nusselt number is reduced with the increase in this parameter.

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

“…Following Chandra et al [3], Noor et al [9] and Amanulla et al [13] the differential equations governing the present problem are given as follows:…”

“…Following Amanulla et al [13] the non-dimensional variables such as: Introducing a stream function y ( ) x y , and = =-…”

“…, . The pair four harmonized high order ordinary differential equations (9)-(12), subjected to the boundary conditions, equation (13), are answered numerically using the function bvp4c from matlab software for various values of physical parameters, that is, slip parameters (Sv, Sg, St, Sm), Prandtl number Pr, thermal Grashof number Gr, Solutal Grashof number Gm, Brownian motion parameter Nb, thermophoresis parameter Nt, Schmidt number Sc, thermal nonlinear convection parameter l.…”

“…Further, Abdul et al [12] and Amanulla [13] have computed the influences of magnetic field and convective heating condition on non-Newtonian fluid flow and heat transfer past an isothermal sphere.…”

Magneto-Convection of Alumina - Water Nanofluid Within Thin Horizontal Layers Using the Revised Generalized Buongiorno's Model

“…More recently, tremendous research works focusing on the magnetohydrodynamic convective flows of electrically conducting fluids or nanofluids were reported previously by many researchers. Later, Amanulla et al (2018) performed a thorough numerical investigation to simulate the steady MHD convective flow of Carreau non-Newtonian fluid past an isothermal sphere by applying Keller-Box Method (KBM). Qasim et al (2018) conducted an innovative numerical simulation of MHD peristaltic flow with variable electrical conductivity and joule dissipation by utilizing Generalized Differential Quadrature Method (GDQM).…”