MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

Abbas, Zaheer; Hasnain, Jafar; Sajid, Muhammad

doi:10.2298/tsci130327049a

Cited by 18 publications

(10 citation statements)

References 17 publications

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“…In addition, Lorentz force could reduce the fow of fuids and it is a good means to control fuid fow. Similar results have been reported by Abbas et al [26] and Chamkha [7]. Te velocity in region I and II decreases from the interface to the boundaries of the regions and reaches its maximum velocity at the interface, as shown in Figure 2.Te couple stress parameter (s 1 � μ 1 h 2 /η 1 ) efect on the velocity components is shown in Figure 3.…”

Section: Efect Of Hartmann Number (Magnetic Parameter) and Couple Str...supporting

confidence: 87%

“…Additionally, α ⟶ ∞, the slip coefcient (β ⟶ 0) represents the fow with no-slip boundary conditions. Similar to other researchers' fndings [26], it is also found that the velocity is increased in two phases by increasing the values of velocity slip parameters β 1 and β 2 (by decreasing α 1 and α 2 ).…”

supporting

confidence: 87%

“…Tis Navier slip condition for velocity for single phase and two phase fuids is considered by numerous researchers. Abbas et al [25] and Abbas et al [26] used perturbation technique and Punnamchandar and Sitotaw [27] analytically investigated the efects of the slip boundary condition on hydromagnetic two phase Newtonian/non-Newtonian fuids fow in an inclined channel in the presence of velocity slip conditions. Gautam et al [28] and Bhattacharyya et al [29] were motivated by the theory of Navier slip and investigated the efects of slip boundary.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Efect Of Hartmann Number (Magnetic Parameter) and Couple Str...supporting

confidence: 87%

supporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Kumar et al [ 22 ] discussed the mixed convective flow and heat transfer in a vertical channel for the situation where only one of the phases is electrically conducting. Recently Abbas et al [ 23 ] investigated the velocity and thermal slip effects in MHD flow and heat transfer of two-phase viscous fluid.…”

Section: Introductionmentioning

confidence: 99%

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

2015

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The present study deals with the flow and heat transfer analysis of two immiscible fluids in an inclined channel embedded in a porous medium. The channel is divided in two phases such that a third grade fluid occupies the phase I and a viscous fluid occupies the phase II. Both viscous and third grade fluids are electrically conducting. A constant magnetic field is imposed perpendicular to the channel walls. The mathematical model is developed by using Darcy's and modified Darcy's laws for viscous and third grade fluids respectively. The transformed ordinary differential equations are solved numerically using a shooting method. The obtained results are presented graphically and influence of emerging parameters is discussed in detail.

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“…The velocity slip at the plate was introduced by Navier and named as Navier slip condition. The researchers [35][36][37][38] have used this condition due to its implementation in several industrial and engineering processes where the flow is confined by pipes, walls and curved surfaces. The mean velocity U can be computed by using the following relation…”

mentioning

confidence: 99%

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

et al. 2019

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In this problem, a theoretical study is presented for the slip effects on the twodimensional flow of a nano liquid in a semi-porous channel designed by two long rectangular plates having porous media. One of the channel walls is porous and other is rigid as well as slippery. A transverse magnetic field of homogenous strength is also applied to direction of flow. Magnetic nanoparticles   34 Fe O and non-magnetic nanoparticles   23 Al O are considered with ethylene glycol (EG) and water as base fluids (BFs). Least Square method (LSM) and Galerkin method (GM) are adopted to solve the equations, transformed from partial differential equations (DEs) to ordinary ones by Berman's similarity transformations. The obtained results from the two analytical methods are compared with the results obtained by fourth order Runge-Kutta numerical method (NM). By comparing the results of GM and LSM it is observed that variation in velocity profiles is minimal however the accuracy of GM is higher than LSM. The contributions of various flow parameters are presented through graphs. Results show a decrement in the fluid velocity with an increase in the slip and porosity parameter. The fluid boundary layer decreases with an increase in the Reynolds number. Flow field is less for the case of magnetic nanoparticles as compared to nonmagnetic particles.

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MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

Cited by 18 publications

References 17 publications

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

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

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

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

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