Simulation of Natural Convective Boundary Layer Flow of a Nanofluid Past a Convectively Heated Inclined Plate in the Presence of Magnetic Field

Abstract

This paper deals with the numerical simulation of transient magnetohydrodynamics natural convective boundary layer flow of a nanofluid over an inclined plate. In the modeling of nanofluids, dynamic effects including the Brownian motion and thermophoresis are taken into account. Numerical solutions have been computed via the Galerkin-finite element method. The effects of angle of inclination, buoyancy-ratio parameter, Brownian motion, thermophoresis and magnetic field are taken into account and controlled by nondimensional parameters. To compute the rate of convergence and error of the computed numerical solution, the double mesh principle is used. Similarity solutions are calculated and presented graphically for non-dimensional velocity, temperature, local rate of heat and mass transfer with pertinent parameters. The modified Nusselt number decreases with increasing inclination angle, buoyancy-ratio parameter, Brownian motion and thermophoresis parameter, whereas it increases with increasing Prandtl number. Validation of the results is achieved with earlier results for forced convective flow and non-magnetic studies. Such problems have several applications in engineering and petroleum industries such as electroplating, chemical processing of heavy metals and solar water heaters. External magnetic fields play an important role in electrical power generation, inclination/acceleration sensors, fine-tuning of the final materials to industrial specification because of their controlling behaviour on the flow characteristics of nanofluids.

Fully Developed Opposing Mixed Convection Flow in the Inclined Channel Filled with a Hybrid Nanofluid

“…You et al [ 12 ] presented analysis of fully developed opposing mixed convection flow in an inclined channel filled by a nanofluid. Goyal et al [ 13 ] examined numerically natural convective boundary layer flow of a nanofluid past a heated inclined plate in the presence of magnetic field and found that the thermal boundary layer thickness increased with strengthening the value of inclination angle parameter. Rafique et al [ 14 ] studied numerically on micropolar nanofluid flow over an inclined surface by means of Keller-Box method.…”

Heat and mass transfer of MHD Casson nanofluid flow through a porous medium past a stretching sheet with Newtonian heating and chemical reaction

“…They have considered linear/non-linear stretching sheet in their study. Goyal and Bhargava [11] and Seth et al [12] have studied nanofluid flow over an inclined stretching sheet. Yadav et al [13e15] have contributed significantly to enrich the literature on nanofluid convection.…”

Effects of Newtonian heating and thermal radiation on micropolar ferrofluid flow past a stretching surface: Spectral quasi‐linearization method

“…Subsequently, Aghamajidi et al formulated the Tiwari‐Das nanofluid model to study the natural convective flow of a nanofluid with the magnetic field. Recently, Goyal and Bhargava considered the nanofluid model, which includes Brownian motion and thermophoresis, to analyze the MHD nanofluid flow over an inclined plate. Chamkha et al developed a mathematical model to discuss the effects of suction and slip mechanism on water‐based nanofluid boundary layer flow past a moving surface.…”