Combined Effects of Thermal Diffusion and Diffusion-Thermo Effects on Transient MHD Natural Convection and Mass Transfer Flow in a Vertical Channel with Thermal Radiation

Yabo, Isah Bala; Jha, Basant K.; Lin, Jeng-Eng

doi:10.4236/am.2016.718185

Cited by 7 publications

(5 citation statements)

References 11 publications

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“…In some of the above mentioned studies, the authors discussed the effect of thermal radiation using linearized Rosseland heat diffusion and this was later faulted by Magyari and Pantokratoras [28] on the basis that it does not reflects the real mechanism in heat transfer characteristics in most boundary layer flows with thermal radiation and they therefore gave alternative approach using non-linear Rossland heat diffusion. In apprehension of this achievement, correlated studies can be observed in Yabo et al [29], Jha et al [30] and Ajibade and Bichi [31]. This paper investigates variable fluid properties on steady natural convection Couette flow through a vertical porous channel.…”

Section: Introductionmentioning

confidence: 89%

Variable Fluid Properties and Thermal Radiation Effects on Natural Convection Couette Flow through a Vertical Porous Channel

Ajibade

Bichi

2019

JAMCS

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The present article investigates natural convection Couette flow through a vertical porous channel due to combined effects of thermal radiation and variable fluid properties. The fluid considered in the model is of an optically dense with all its physical properties assumed constant except for its viscosity and thermal conductivity which are temperature dependent. The flow equations are simplified using non-linear Rosseland heat diffusion and as a consequence it resulted to high non-linearity of the flow equations. Adomian decomposition method (ADM) is used to solve the emanating equations and the influences of the essential controlling physical parameters involved are presented on graphs, tables and were discussed. In the course of investigation; it was found that both the fluid velocity and its temperature within the channel were seen to increase with growing thermal radiation parameter while the fluid’s velocity and temperature were observed to descend with increase in thermal conduction of the fluid. Similarly; the fluid velocity was found to increase with decrease in the fluid viscosity. To validate the accuracy of the present investigation; the results obtained here in have been compared with a published work where good agreement was found.

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Section: Introductionmentioning

confidence: 89%

Variable Fluid Properties and Thermal Radiation Effects on Natural Convection Couette Flow through a Vertical Porous Channel

Ajibade

Bichi

2019

JAMCS

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“…In order to decouple the system of Equations ( 6)-( 8), a small non-zero parameter e is used such that the Soret and Dufour parameters are of order OðeÞ (Ahmad et al, 2016). Perturbation method has been used to write the analytical solution of the problem utilizing the fact that Soret and Dufour parameters are small (Isah et al, 2016;Lagra et al, 2018;Makinde, 2011;Reddy, 2016; Uwanta & Usman, 2014).…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Although the magnitudes of the two effects are small, however, they have been seen to have direct relevance in systems where density differences in the flow region exist such as in petrology, isotopes separation, hydrology, chemical processing, geoscience among others (Ashyralyev & Gambo, 2016;Isah, Jha, & Jeng-Eng, 2016;Jha & Gambo, 2019;Omowaye, Fagbade, & Ajayi, 2015;Tippa, Narahari, & Rajashekhar, 2014;Uwanta & Usman, 2014). Several studies reveal that free convection heat and mass transfer flow can be affected by Soret effect, Dufour effect or the combination of the two (Bourich, Hasnaoui, Mamou, & Amahmid, 2004;Isah et al, 2016;Jha & Gambo, 2019;Kafoussias & Williams, 1995;Lagra, Bourich, Hasnaoui, Amahmid, & Er-Raki, 2018;Mortimer & Eyring, 1980;Omowaye et al, 2015;Raju, Narahari, & Rajashekhar, 2014;Reddy, 2016;Soret, 1979;Tippa et al, 2014;Uwanta & Usman, 2014). However, when the two effects are combined, the resulting system of governing equations becomes highly complicated and its analytical solution has been an outstanding challenge in heat and mass transfer process.…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour effects on transient free convention heat and mass transfer flow in a vertical channel with ramped wall temperature and specie concentration: an analytical approach

Jha

Gambo

2020

Arab Journal of Basic and Applied Sciences

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This work investigates unsteady free convection heat and mass transfer flow in a vertical channel in the presence of Soret and Dufour effects. The bounding walls and the specie are considered to have ramped temperature and ramped concentration respectively. Perturbation method is first used to decouple the governing equations that arise from the model due to the presence of combined Soret and Dufour effects. Laplace transform technique is then used to obtain an analytical solutions for the temperature, concentration and velocity. In order to cross check the accuracy of the proposed analytical method, numerical solutions are obtained using PDEPE in MATLAB. The influences of the two effects as well as the ramped boundary conditions on the fluid flow are graphically presented and discussed. The results show that these two effects and the imposed boundary conditions affect the fluid temperature, concentration, velocity, rate of heat transfer, rate of mass transfer and wall Skin friction. Moreover, it is found that the solutions obtained by the authors Jha and Gambo correspond to the results of the present work when Soret effect is absent.

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“…They therefore proposed alternative method which adopted the use of nonlinear temperature in the expression for thermal radiation. In recognition to this, connected studies can be witnessed in Ajibade (2018a, 2020), Ajibade and Yusuf (2019), Yabo et al (2016) and Jha et al (2017).…”

Section: Introductionmentioning

confidence: 96%

A Domian Decomposition Method for Steady Free Convective Couette Flow in a Vertical Channel With Non-Linear Thermal Radiation, Dynamic Viscosity and Dynamic Thermal Conductivity Effects

Ajibade¹,

Jha²,

Jibril³

et al. 2020

FJS

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In this paper, we investigate steady free convective Couette flow in a vertical channel with nonlinear thermal radiation, dynamic viscosity and dynamic thermal conductivity effects. The investigation is motivated by the studies of some researchers which assumed linear thermal radiation and constant fluid properties. However, this is uncalled for; as these assumptions do not reflect true behavior of the flow. For instance; increase in temperature affects fluid viscosity, thermal conductivity thereby changing the transport phenomenon. Here; the investigation considers both the fluid viscosity and thermal conductivity to be dependent on temperature with the thermal radiation adopting nonlinear form. Due to this reasons, the associated flow equations are highly nonlinear and exhibit no analytical solution and therefore require the use of Adomian decomposition method (ADM) of solution. The attained ADM solution is then coded into computer algebra package of mathematica where results under the parameters of interest are presented and discussed. Results of the investigation show that raising the thermal radiation leads to corresponding rise in both the velocity and temperature of the fluid in the channel. Furthermore; lessening the viscosity and thermal conduction of the fluid were identified to escalate both velocity and temperature of the fluid.

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Combined Effects of Thermal Diffusion and Diffusion-Thermo Effects on Transient MHD Natural Convection and Mass Transfer Flow in a Vertical Channel with Thermal Radiation

Cited by 7 publications

References 11 publications

Variable Fluid Properties and Thermal Radiation Effects on Natural Convection Couette Flow through a Vertical Porous Channel

Variable Fluid Properties and Thermal Radiation Effects on Natural Convection Couette Flow through a Vertical Porous Channel

Soret and Dufour effects on transient free convention heat and mass transfer flow in a vertical channel with ramped wall temperature and specie concentration: an analytical approach

A Domian Decomposition Method for Steady Free Convective Couette Flow in a Vertical Channel With Non-Linear Thermal Radiation, Dynamic Viscosity and Dynamic Thermal Conductivity Effects

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