Magnetohydrodynamics Free Convection Flow of Incompressible Fluids over Corrugated Vibrating Bottom Surface with Hall Currents and Heat and Mass Transfers

Bulinda, Vincent M.; Kang’ethe, Giterere P.; Kiogora, P. R.

doi:10.1155/2020/2589760

Cited by 5 publications

(6 citation statements)

References 17 publications

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“…This result corroborates the findings in Ahmad et al [1,2], Bulinda et al [3], Chen et al [4], and Farooq et al [5]. The internal friction generated from the reduced velocity produces more heat energy and thereby increases the temperature of the flow as shown in figure 3 and the finding here agrees with the findings in Ahmad et al [1], Bulinda et al [3], and Farooq et al [5]. Biot number is the ratio of internal resistance to conduction to the resistance of flow to convective heat transfer.…”

Section: Discussion Of Resultssupporting

confidence: 93%

“…This is revealed in Figure 2 where the primary velocity reduces with increasing magnetic field strength. This result corroborates the findings in Ahmad et al [1,2], Bulinda et al [3], Chen et al [4], and Farooq et al [5]. The internal friction generated from the reduced velocity produces more heat energy and thereby increases the temperature of the flow as shown in figure 3 and the finding here agrees with the findings in Ahmad et al [1], Bulinda et al [3], and Farooq et al [5].…”

Section: Discussion Of Resultssupporting

confidence: 92%

“…Equations governing the natural convective flow of electrically conducting Casson nanofluid under the influence of magnetic field are given in equations (1)(2)(3)(4). subject to the boundary conditions at 7 = 0: = 9 , = 0, −: ) = ℎ ) 2 ) − 5, # = # < !, (5)…”

Section: Governing Equationsmentioning

confidence: 99%

“…Investigation of the MHD flow showed that the Lorenz force induced by the magnetic field enhances the temperature and concentration of the flow. Recently, MHD flow of nanofluid was carried out with Cattaneo-Christov heat flux model [28], over corrugated vibrating bottom surface [8] while some semi-analytical approaches to solving the equations were presented by Bulinda et al [3]. Each of these studies observes that temperature is enhanced with increasing magnetic force.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Kigio¹,

Nduku²,

Oke³

2021

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The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature.

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Section: Discussion Of Resultssupporting

confidence: 93%

Section: Discussion Of Resultssupporting

confidence: 92%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Kigio¹,

Nduku²,

Oke³

2021

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“…Both of the velocity distribution and the temperature distribution are increased because the Joule heating parameter increased while velocity decreases and temperature increased and it is affected to skin friction. Bulinda et al, [2] take an opportunity to study MHD free convection of incompressible fluids over corrugated vibrating bottom surface with Hall currents and heat mass transfer considering heat flux. Corrugated structures are well known for heat transfer enhancement applied in many engineering problems such as heat exchangers, air-conditioning devices and refrigeration.…”

Section: Introductionmentioning

confidence: 99%

A Study of MHD Free Convection Flow Past an Infinite Inclined Plate

Osman

Omar

Vieru

et al. 2022

ARFMTS

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In the present article, we have studied the magnetohydrodynamic (MHD) free convection flow past an infinite inclined plate. In order to explore the effects of velocity, temperature and concentration, Laplace transform technique has been used in this study. This method is adapted to accomplish the analytical solution of governing equation. The impact of various embedded parameter on concentration, velocity and temperature such as chemical reaction, magnetic parameter, radiation and inclination angle has been discussed graphically with numerical results.

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Thermal diffusion effect on unsteady MHD free convective flow past a semi-infinite exponentially accelerated vertical plate in a porous medium

Sarma

Ahmed

2022

Can. J. Phys.

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The objective of the present work is to obtain an exact solution to the problem of a free convective, radiative, viscous, chemically reacting, heat absorbing, incompressible, and unsteady MHD flow past an exponentially accelerated moving vertical plate embedded in a porous medium. The fluid is assumed to be optically thick and non-gray. A magnetic field is applied in the transverse direction of the flow. Effects of arbitrary ramped temperature and thermal diffusion are also considered. Rosseland approximation method is used to describe the radiative heat flux that appears in the energy equation. Analytical solutions of the non-dimensional governing equations are obtained by adopting a closed-form of the Laplace transformation technique. The influence of various physical parameters on flow and transport characteristics is analyzed with suitable graphs. From the investigation, it is observed that increasing Soret number hikes both concentration and velocity fields. Ascending radiation parameter upsurges Nusselt number but declines Soret number.

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Magnetohydrodynamics Free Convection Flow of Incompressible Fluids over Corrugated Vibrating Bottom Surface with Hall Currents and Heat and Mass Transfers

Cited by 5 publications

References 17 publications

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

A Study of MHD Free Convection Flow Past an Infinite Inclined Plate

Thermal diffusion effect on unsteady MHD free convective flow past a semi-infinite exponentially accelerated vertical plate in a porous medium

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