Porous medium magnetohydrodynamic flow and heat transfer of two immiscible fluids

Petrovic, D Jelena; Stamenkovic, M Zivojin; Kocic, M Milos; Nikodijevic, D Milica

doi:10.2298/tsci16s5405p

Cited by 9 publications

(5 citation statements)

References 17 publications

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“…This is to be expected and has already been demonstrated by numerous authors. 46,47 Figure 4(b), which illustrates the dependency of the flow on the porosity parameter R , we can see that the flow drops as R rises, and that the dependency between the flow rate q and the porosity parameter R is linear in nature.…”

Section: Results Analysismentioning

confidence: 87%

MHD micropolar fluid flow in porous media

Kocic

Stamenković

Petrović

et al. 2023

Advances in Mechanical Engineering

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The analysis of mass and heat transfer in magnetohydrodynamic (MHD) flows has significant applications in heat exchangers, cooling nuclear reactors, designing energy systems and casting and injection processes of different types of fluids. On the other hand, extraction of crude oil, the flow of human or animal blood, as well as other polymer fluids or liquid crystals are just some examples of micropolar fluid flows. Due to the broad application spectrum of the theory of micropolar fluid flows, and the significance the impact the external magnetic field has on the flow of these fluids, this paper considers the stationary flow of a micropolar fluid between two plates under the influence of an external magnetic field which is perpendicular to the direction of the flow. Stationary plates are maintained at constant and different temperatures, while the whole problem is considered in the non-inductive approximation. The equation system used to define the physical problem under consideration is reduced to the system of differential equations that have been solved analytically and the solutions of which are of general nature. In addition to the solutions for velocity, microrotation and temperature, the paper gives solutions for shear stress at plates, the Nusselt number and flow rate. The provided solutions have been applied in order to reach some general conclusions about the influence of the magnetic field and physical characteristics of a micropolar fluid and the characteristics of porous media on the nature of micropolar fluid flows in porous media by means of chart analysis. General conclusions, obtained in the result analysis in this paper, give us the opportunity to understand the flows of micropolar fluids and highlight their significance.

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Section: Results Analysismentioning

confidence: 87%

MHD micropolar fluid flow in porous media

Kocic

Stamenković

Petrović

et al. 2023

Advances in Mechanical Engineering

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“…For the adopted coordinate system Oxy, relying on Umavathi and Sheremet [10] and Petrović et al [17], the presented problem is described by the following system of equations:…”

Section: Figure 1 Physical Modelmentioning

confidence: 99%

“…The latter study focused on EMHD flow and heat transfer of two immiscible fluids with the Hall effect. The studies Nikodijevic et al [16], Petrovic et al [17], Nikodijevic et al [18], and Kocic et al [19] examined MHD steady/unsteady flow and heat transfer of a regular/micropolar fluid in a horizontal channel between flat isothermal and electrically conducting/non-conducting plates. The externally applied magnetic field was perpendicular/inclined in relation to the primary flow.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic flow and mixed convection of a viscous fluid and a nanofluid through a porous medium in a vertical channel

et al. 2023

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This paper analyzes the MHD flow and heat transfer of a pure fluid and a nanofluid through a porous medium in a vertical channel. The right half of the channel contains the pure fluid and the left half contains the nanofluid, which is immiscible with the pure fluid in the right half. Channel walls are impermeable and at constant temperatures. An external homogeneous magnetic field perpendicular to the channel walls is applied on the channel. Darcian approach is used to model the porous medium. Relevant differential equations are solved using the perturbation method. Velocity and temperature distributions are determined analytically and represented graphically, while the values of skin friction and Nusselt number on the channel walls are given in a table for multiple values of the introduced physical parameters. The results are used to draw conclusions about the influence of the said physical parameters on velocity and temperature distributions and on the values of skin friction and Nusselt number on the channel walls.

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“…In order to anticipate and optimize the effectiveness of the aforementioned practical phenomena, a wide range of studies is conducted and discussed by many researchers. Petrovic et al 9 studied MHD flow and heat transfer for two immiscible fluids in a porous medium. Ibrahim et al 10 discussed the effects of a heat source and Joule heating on MHD radiative flow over a porous stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

Anwar

Kumam

Watthayu

2021

Sci Rep

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Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.

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Porous medium magnetohydrodynamic flow and heat transfer of two immiscible fluids

Cited by 9 publications

References 17 publications

MHD micropolar fluid flow in porous media

MHD micropolar fluid flow in porous media

Magnetohydrodynamic flow and mixed convection of a viscous fluid and a nanofluid through a porous medium in a vertical channel

Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

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