On Steady MHD Thermally Radiating and  Reacting Thermosolutal Viscous Flow through  a Channel with Porous Medium

Mebine, Promise; Gumus, Rhoda H.

doi:10.1155/2010/287435

Cited by 7 publications

(5 citation statements)

References 10 publications

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“…The governing system of equations (14) - (15) subject to (16) have been solved using the bivariate spectral relaxation method (BSRM) as described previously. In this section, we present the numerical computations for velocity, temperature, skin friction coefficient and local heat transfer rate profiles for the various pertinent parameters.…”

Section: Resultsmentioning

confidence: 99%

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Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

Adegbie

Fagbade

2016

IFSL

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Abstract. The present paper addresses the problem of MHD forced convective flow in a fluid saturated porous medium with Brinkman-Forchheimer model, which is an important physical phenomena in engineering applications. The paper extends the previous models to account for effects of variable fluid properties on the forced convective flow through a porous medium in the presence of radiative heat loss using bivariate spectral relaxation method (BSRM). The dynamic viscosity µ and thermal conductivity of the newtonian fluid are assumed to vary linearly respectively, with temperature whereas the contribution of thermal radiative heat loss is based on Rosseland diffussion approximation. The flow model is described and expressed in form of a highly coupled nonlinear system of partial differential equations. The method of solution BSRM as proposed by Motsa [25] seeks to decouple the original system of PDEs to form a sequence of equations that can be solved in a computationally efficient manner. BSRM is an approach that applies spectral collocation independently in all underlying independent variable is executed to obtain approximate solutions of the problem. The proposed algorithm is supposed to be a very accurate, convergent and very effective in generating numerical results. The results obtained show a significant effects of the flow control parameters on the fluid velocity and temperature respectively. Consequently, the wall shear stress and local heat transfer rate of the present paper are compared with the available results in literatures. Remarkable impacts and a good agreement are found.

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Section: Resultsmentioning

confidence: 99%

“…In recent development, Promise [16] examined steady-state solution to Magnetohydrodynamic thermally radiating and reacting thermo-solutal viscous flow through a channel with porous medium. The chemical reaction is assumed to be strongly exothermic under the generalized Arrhenius kinetics neglecting the consumption of the material.…”

mentioning

confidence: 99%

Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

Adegbie

Fagbade

2016

IFSL

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“…He presented the results in the form of an asymptotic approximation for activation energy and larger suction. Mebine and Gumes [28] investigated the exothermic reaction and AAE on MHD flow through a special network. Khan et al [29] studied the impacts of binary reaction and AAE on MHD cross liquid with mixed convective and nonlinear radiation.…”

Section: Introductionmentioning

confidence: 99%

MHD 3D Crossflow in the Streamwise Direction Induced by Nanofluid Using Koo–Kleinstreuer and Li (KLL) Correlation

et al. 2021

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Aluminum nanoparticles are suitable for wiring power grids, such as local power distribution and overhead power transmission lines, because they exhibit high conductivity. These nanoparticles are also among the most utilized materials in electrical field applications. Thus, the present study investigated the impact of magnetic field on 3D crossflow in the streamwise direction with the impacts of Dufour and Soret. In addition, the effects of activation energy and chemical reaction were incorporated. The viscosity and thermal conductivity of nanofluids were premeditated by KKL correlation. Prominent PDEs (Partial Differential Equations) were converted into highly nonlinear ODEs (Ordinary Differential Equations) using the proper similarity technique and then analyzed numerically with the aid of the built-in bvp4c solver in MATLAB. The impact of diverse important variables on temperature and velocity was graphically examined. Additionally, the influences of pertaining parameters on the drag force coefficient, Nusselt number, and Sherwood number were investigated. Inspections revealed that the mass transfer rate decreases, while the heat transport increases with increasing values of the Soret factor. However, the Nusselt and Sherwood numbers validate the differing trend for rising quantities of the Dufour factor.

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“…Bestman [1] scrutinized the natural convection boundary-layer in the company of activation energy in which wall boundary travels in its surface. The activation energy impact on magneto flow via a channel in a porous media with an exothermic reaction was discussed by Mebine and Gumus [2]. Awad et al [3] scrutinized the time-dependent flow (TDF) from an extended surface in a rotating liquid with energy activation and chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Khan

Zaib

Băleanu

et al. 2020

Heliyon

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The mathematical modeling and numerical simulation are conferred to offer the novel perception of binary chemical reaction with an activation energy aspect on magneto flow comprising Cross liquid inspired by a moving wedge. The influences of Soret and Dufour are also presented. The similarity procedure is utilized to modify the leading PDEs into a non-linear system of ODEs and then analyzed through a significant technique namely bvp4c based on the collocation method. The impacts of varying distinct parameters under the temperature and the velocity distribution are explored and discussed with the support of the graphs. The outcomes indicate that the multiple results are attained for a specific amount of shrinking/stretching constraint. Furthermore, the Weissenberg number reduces the skin factor and speed up the heat and mass transport rate in the lower and upper branch solutions. Also, an assessment of current results with earlier published literature is made in the limiting case.

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On Steady MHD Thermally Radiating and Reacting Thermosolutal Viscous Flow through a Channel with Porous Medium

Cited by 7 publications

References 10 publications

Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

Analysis of MHD Forced Convective Flow of Variable Fluid Properties over a Saturated Porous Medium with Thermal Radiation Effect

MHD 3D Crossflow in the Streamwise Direction Induced by Nanofluid Using Koo–Kleinstreuer and Li (KLL) Correlation

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

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