Adomian decomposition method to magnetohydrodynamics natural convection heat generating/absorbing slip flow through a porous medium

2020

IJAPE

In this article, the semi analytical solution for a fully developed time dependent free convective flow of a viscous incompressible fluid with heat source/sink in an infinite vertical coaxial cylinder saturated with porous material has been analyzed. The flow was induced by buoyancy forces due to temperature differences caused by the thermal insulation of the inner wall and constant heating of the outer wall. The Laplace transform technique was employed to transform the governing equation from time domain to the Laplace domain. Notwithstanding, a numerical inversing scheme known as Riemann-sum approximation (RSA), renowned for its precision has been utilized to transform the Laplace domain solution to time domain. The accuracy of the numerical technique employed was tested by presenting a comparison with the numerical values obtained using RSA, PDEPE, and steady state solution at large time. The effects of the various flow parameters on the flow formation are exhibited graphically. It is interesting to note that the fluid temperature and velocity increases as time passes. In addition, the velocity can be enhanced and minimized by gradually increasing Darcy number and the viscosity ratio respectively. However, the increase is seen to be more prominent when heat source is applied. The drag on both walls are seen to increase with increase in Darcy number, the reverse trend is observed with increase in the viscosity ratio.

Section: Validation Of the Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of heat source/sink on time dependent free convective flow in a coaxial cylinder filled with porous material: a semi analytical approach

Yusuf

2020

IJAPE

“…Yusuf and Gambo 22 considered the effect of heat generation/absorption on transient natural convective flow in an annulus filled with porous materials. Ajibade and Gambo 23 performed an investigation on MHD natural convection heat‐generating/absorbing slip flow through a porous medium. Lately, Yusuf and Gambo 24 addressed the influence of heat source/sink on transient free convective flow in a coaxial cylinder.…”

Section: Introductionmentioning

confidence: 99%

On the effect of heat generation/absorption on magnetohydrodynamic free convective flow in a vertical annulus: An Adomian decomposition method

2020

Heat Trans

This article deliberates fully developed natural convective flow of heat‐generating/absorbing fluid in open‐ended vertical concentric annulus under a magnetic field. The momentum and energy equations which arise from the definition of velocity and temperature are written in the dimensional form and then recast into the nondimensional form. Approximate solutions are obtained by using the semi‐analytical Adomian decomposition method. The solutions for the velocity, temperature, skin friction, mass flux and rate of heat transfer are obtained. The influence of physical parameters such as heat generation/absorption parameter ( δ ) and Hartmann number (M) are illustrated with the aid of graphs and tables. In the course of this investigation, it is found that an increase in the heat generation/absorption parameter increases the temperature. In addition, the magnitude of the temperature is higher for heat‐generating fluid in comparison to heat‐absorbing fluid. Furthermore, the temperature and velocity can be controlled by carefully selecting suitable values of the heat generation/absorption parameter and Hartmann number respectively.

“…The study reported in Reference [24] analytically investigated the effect of heat absorption on a transient free convective flow in a vertical channel. Authors of Reference [25] used the Adomian decomposition method (ADM) to consider the effect of a heat generation/absorption fluid on MHD natural convection with slip effect through a porous medium. It was found that heat generation parameter increases the fluid temperature and velocity as the annular gap increases.…”

Section: Introductionmentioning

confidence: 99%

Adomian decomposition method for the effect of transpiration on natural convection MHD flow in a vertical annulus with heat generation/absorption

Ajibade

2020

Heat Trans

Self Cite

This article studies the effect of transpiration on a fully developed natural convection MHD flow in a vertical annulus with heat generation/absorption. The governing coupled differential equations are solved by an estimated analytical method identified as the Adomian decomposition method with initial conditions and an appropriate initial guess condition. Furthermore, the effect of several parameters illustrating the flow phenomena is considered through graphs and the numerical computations are obtained and presented through tables. However, it is observed that there is a decrease in velocity due to the effect of the suction of fluid on the heated porous wall with concurrent injection. Also, heat generation parameter enhances the temperature of the fluid on both the isothermal and constant heat flux.