Thermal and Momentum Slip Effects on Hydromagnetic Convection Flow of a Williamson Fluid Past a Vertical Truncated Cone

Abstract

In this article, the combined theoretical and computational study of the magneto hydrodynamic heat transfer in an electro-conductive polymer on the external surface of a vertical truncated cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical truncated cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum and energy equations via appropriate non-similarity transformations. These transformed conservation equations are solved subject to appropriate boundary conditions with a second order accurate finite difference method of the implicit type. Validation of the numerical solutions is achieved via benchmarking with earlier published results. The influence of Williamson viscoelastic fluid parameter, magnetic body force parameter, Thermal and velocity (hydrodynamic) slip parameters, stream wise variable and Prandtl number on thermos-fluid characteristics are studied graphically. The model is relevant to the simulation of magnetic polymer materials processing.

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

“…This technique has been described succinctly in Cebeci and Bradshaw [43] and Keller [44]. It has been used recently in polymeric flow dynamics by Amanulla et al [35][36][37][38]48] for viscoelastic models and Rao et al [45][46][47] for non-Newtonian fluids. Very few of these papers, however, have provided guidance for researchers as to customization of the Keller-Box scheme to heat transfer problems.…”

“…Ellahi et al [34] work on hall and ion slip on MHD peristaltic flow of an elastic viscous fluid from a rectangular duct. Recently, the researchers [35][36][37][38][39][40] discussed the non-Newtonian fluid flow of vertical surfaces with velocity and temperature jump boundary conditions. In these studies, they found very interesting solutions as the momentum slip and thermal slip parameter has tendency to control the skin friction and local Nusselt number profiles and also the non-Newtonian fluids are regulating the temperature profiles of the flow.…”

Impact of wavy texture and hybridity of nanofluid on heat transfer augmentation over the frustum of cone geometry

“…Siddiqa et al [16] discussed two-phase dusty fluid flow over a vertical frustum of a cone and concluded that the rate of heat transfer rate significantly increases by the inclusion of nanoparticles. Amanulla et al [17] examined Casson nanofluid past a truncated cone texture and analyzed that the buoyancy ratio parameter increases the fluid flow. Ahmed and Mahdy [18] analyzed variable physical propertied for MHD natural convection nanofluid flow past a truncated cone and found that by increasing MHD leads to an increase in the rate of heat transfer.…”

Taguchi Method and Numerical Simulation for Variable Viscosity and Non-Linear Boussinesq Effects on Natural Convection over a Vertical Truncated Cone in Porous Media

“…Cheng [8] solved free convection of a nanofluid about a vertical truncated cone. Amanulla et al [9] explored thermal and momentum slip effects on hydromagnetic convection flow of a Williamson fluid past a vertical truncated cone. Mahdy [10] presented modeling of gyrotactic microorganisms non-Newtonian nanofluids due to free convection flow past a vertical porous truncated cone.…”