Effects of Porosity and Mixed Convection on MHD Two Phase Fluid Flow in an Inclined Channel

Hasnain, Jafar; Abbas, Zaheer; Sajid, Muhammad

doi:10.1371/journal.pone.0119913

Cited by 26 publications

(9 citation statements)

References 25 publications

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“…Aaiza et al [ 4 ], further pointed out that in mixed convection energy transfer, the buoyancy force is responsible for free convection and at least one of the two, non-homogeneous boundary conditions on velocity or external pressure gradient results forced convection. Amongst the important studies on mixed convection energy transfer, we include here the attempts those made by Kumari et al [ 5 ], Tiwari and Das [ 6 ], Chamkha et al [ 7 ], Sheikhzadeh et al [ 8 ], Prasad et al [ 9 ], Hasnain et al [ 10 ] and Ganapathirao et al [ 11 ]. However, most of these studies on energy transfer were focused in simple geometrical configurations.…”

Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer in an oscillating vertical cylinder

et al. 2018

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This paper studies the heat transfer analysis caused due to free convection in a vertically oscillating cylinder. Exact solutions are determined by applying the Laplace and finite Hankel transforms. Expressions for temperature distribution and velocity field corresponding to cosine and sine oscillations are obtained. The solutions that have been obtained for velocity are presented in the forms of transient and post-transient solutions. Moreover, these solutions satisfy both the governing differential equation and all imposed initial and boundary conditions. Numerical computations and graphical illustrations are used in order to study the effects of Prandtl and Grashof numbers on velocity and temperature for various times. The transient solutions for both cosine and sine oscillations are also computed in tables. It is found that, the transient solutions are of considerable interest up to the times t = 15 for cosine oscillations and t = 1.75 for sine oscillations. After these moments, the transient solutions can be neglected and, the fluid moves according with the post-transient solutions.

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Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer in an oscillating vertical cylinder

et al. 2018

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“…(1) Te porous medium is rigid, isotropic, and homogeneous with porosity "k i ," i � 1 for region I and i � 2 region II and the drag force due to porous media, governed by Darcy law [39,40]. (2) Te fow in both the regions is driven by a common constant pressure gradient.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Te law about fow through porous media, as found by Darcy via experimentation, is the corner-stone in the feld of transport in porous media. Darcy's law relates the volume fux u[ms − 1 ] with the force driving the fow [27,39,40], as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

Bitla

Sitotaw

2023

Mathematical Problems in Engineering

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In this study, we investigated the effects of slip boundary and magnetic field on the flow of two immiscible couple stress fluids in an inclined porous media channel. The Stokes model was used to define the two couple stress fluids. The fluids in both the regions are assumed to be incompressible and immiscible and the transport properties in the two regions are assumed to be constant. The governing coupled linear ordinary differential equations are made dimensionless by using appropriate fundamental quantities. The expressions for the velocity components in both the regions are obtained in closed form using the undetermined coefficient method; by applying slip boundary condition at the boundary of the channel and at fluid-fluid interface, the continuity of velocities, vorticities, shear stresses, and couple stresses are applied. The effects of the nondimensional parameters including the couple stress parameters, slip parameter, Hartmann number, Darcy number, and the ratio of basic fluid properties on the velocity components are presented graphically; the flow rate and shear stress are presented in table and discussed briefly. It is reported that the presence of couple stresses and magnetic field have a declining impact while slip boundary has an enhancement impact on the fluid velocity and the volumetric flow rate. In the absence of couple stress, the results for the liming case as s ⟶ ∞ η ⟶ 0 for Newtonian flow are achieved and further limiting cases are established and briefly addressed.

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“…Entropy generation for compressible radiative MHD fluid flow in a channel partially filled with porous material was reported by Jain et al 11 . Hasnain et al 12 provided solutions for MHD two-phase mixed convection fluid flow in an inclined channel filled with porous medium. Pattnaik et al 13 derived analytic solutions for natural convection flow with porosity and MHD effects by inculcating time-dependent concentration and temperature at the boundary.…”

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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Effects of Porosity and Mixed Convection on MHD Two Phase Fluid Flow in an Inclined Channel

Cited by 26 publications

References 25 publications

Natural convection heat transfer in an oscillating vertical cylinder

Natural convection heat transfer in an oscillating vertical cylinder

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids in an Inclined Porous Channel: Effects of Slip Boundary

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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