Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

Abstract

This paper numerically investigates radiative magnetohydrodynamic mixed convection boundary layer flow of nanofluids over a nonlinear inclined stretching/shrinking sheet in the presence of heat source/sink and viscous dissipation. The Rosseland approximation is adopted for thermal radiation effects and the Maxwell-Garnetts and Brinkman models are used for the effective thermal conductivity and dynamic viscosity of the nanofluids respectively. The governing coupled nonlinear momentum and thermal boundary layer equations are rendered into a system of ordinary differential equations via local similarity transformations with appropriate boundary conditions. The non-dimensional, nonlinear, well-posed boundary value problem is then solved with the Keller box implicit finite difference scheme. The emerging thermo-physical dimensionless parameters governing the flow are the magnetic field parameter, volume fraction parameter, power-law stretching parameter, Richardson number, suction/injection parameter, Eckert number and heat source/sink parameter. A detailed study of the influence of these parameters on velocity and temperature distributions is conducted. Additionally the evolution of skin friction coefficient and Nusselt number values with selected parameters is presented. Verification of numerical solutions is achieved via benchmarking with some limiting cases documented in previously reported results, and generally very good correlation is demonstrated. This investigation is relevant to fabrication of magnetic nanomaterials and high temperature treatment of magnetic nano-polymers.

3D MHD cross flow over an exponential stretching porous surface

“…Hence, heat generation/absorption controls the heat transfer rate in the thermal boundary layer appreciably. Thumma et al executed a numerical study and explored the effects of heat source/sink effects on dissipative magnetic nanofluid flow from a nonlinear inclined stretching/shrinking sheet. Chamkha and Mudhaf investigated unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects.…”

Mutual influences of a chemical reaction and thermal radiation on a peristaltic pump of synovial nanofluids in a 3D tapered asymmetric channel

“…In another paper, Tlili et al scrutinized the macroscopic modeling for convection of hybrid nanofluids with magnetic effects. For more applications of nanofluids, see Refs …”

A numerical investigation on the heat and fluid flow of various nanofluids on a stretching sheet

“…In a series of studies, Sheri et al. solved the problem of both vertical and inclined plates in the presence of a magnetic field and the effects of various parameters were considered. Natural convection and heat source/sink effects were investigated as well.…”

“…Other researchers also considered the effects of different parameters on the system behavior. [34][35][36][37][38][39][40][41][42] In a series of studies, Sheri et al solved the problem of both vertical 43 and inclined plates 44 in the presence of a magnetic field and the effects of various parameters were considered. Natural convection 45 and heat source/sink effects 46 were investigated as well.…”