Oscillatory Flow in a Porous Channel with Porous Medium and Small Suction

Ali, Aamir; Asghar, S.

doi:10.1017/jmech.2014.7

Cited by 3 publications

(2 citation statements)

References 27 publications

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“…Thermophys. Ali et al [ 30 ] investigated Oscillatory Flow in a Porous Channel with Porous Medium and Small Suction. Ali et al [ 31 ] have studied Oscillatory flow of second grade fluid in cylindrical tube.…”

Section: Introductionmentioning

confidence: 99%

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Deepthi¹,

Lashin

Kumar³

et al. 2022

Micromachines

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This article describes the incompressible two-dimensional heat and mass transfer of an electrically conducting second-grade fluid flow in a porous medium with Hall and ion slip effects, diffusion thermal effects, and radiation absorption effects. It is assumed that the fluid is a gray, absorbing–emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. It is assumed that the liquid is opaque and absorbs and emits radiation in a manner that does not result in scattering. It is considered an unsteady laminar MHD convective rotating flow of heat-producing or absorbing second-grade fluid across a semi-infinite vertical moving permeable surface. The profiles of velocity components, temperature distribution, and concentration are studied to apply the regular perturbation technique. These profiles are shown as graphs for various fluid and geometric parameters such as Hall and ion slip parameters, radiation absorption, diffusion thermo, Prandtl number, Schmidt number, and chemical reaction rate. On the other hand, the skin friction coefficient and the Nusselt number are determined by numerical evaluation and provided in tables. These tables are then analysed and debated for various values of the flow parameters that regulate it. It may be deduced that an increase in the parameters of radiation absorption, Hall, and ion slip over the fluid region increases the velocity produced. The resulting momentum continually grows to a very high level, with contributions from the thermal and solutal buoyancy forces. The temperature distribution may be more concentrated by raising both the heat source parameter and the quantity of radiation. When one of the parameters for the chemical reaction is increased, the whole fluid area will experience a fall in concentration. Skin friction may be decreased by manipulating the rotation parameter, but the Hall effect and ion slip effect can worsen it. When the parameter for the chemical reaction increases, there is a concomitant rise in the mass transfer rate.

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Section: Introductionmentioning

confidence: 99%

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Deepthi¹,

Lashin

Kumar³

et al. 2022

Micromachines

View full text Add to dashboard Cite

show abstract

“…His work was later extended by various authors for numerous values of Reynolds number and varying flow conditions (see Sellars, Proudman, and Terill). Oscillatory flow in a channel has been studied by Ali and Asghar for the case of small suction. Marwat and Asghar investigated the flow between inclined plane walls.…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Ali

Iqbal

Marwat

et al. 2019

Heat Trans. Asian Res.

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This study addresses the thermo-diffusion and the diffusion-thermo phenomena in a semi-infinite absorbent channel whose walls are contracting/expanding, with heat source/sink effects. The governing partial differential equations with suitable boundary conditions are transformed to a system of dimensionless ordinary differential equations. An analytic solution of the problem has been found using a technique called homotopy analysis method (HAM). HAM gives consistently valid answers to the problem over an extensive variety of parameters and also provides better accuracy. To validate the analytical results, a comparison has been presented with a numerical solution calculated by using the parallel shooting method. The effects of dimensionless parameters, that is, deformation parameter, Reynolds number, Soret and Dufour numbers, and heat source/sink parameter on the expressions of velocity, temperature, and concentration profiles are analyzed graphically to understand the physics of the deformable channel. It has been noted that the velocity across the channel is higher for the expanding channel, as compared to that for the contracting channel. Also the Soret and Dufour number increases the temperature of the fluid, and decreases the concentration. The temperature profile has an increasing behavior in the case of heat source, and a decreasing behavior in the case of heat sink. K E Y W O R D S deformable porous channel, heat and mass transfer, heat source/sink, incompressible fluid, Soret and Dufour effects | INTRODUCTIONThe study of laminar flow inside parallel porous walls is substantial because of its applications in engineering, biological sciences, and chemistry. The flow between parallel porous walls is an old question and the models for such flow for different physical situations improved with the passage of time. The simplest model for the flow in infinite parallel walls was described by Poiseuille 1 with the assumptions of steady, laminar, incompressible, and one dimensional flow. Hagen and Poiseuille had presented the theory of the flow through a straight pipe and considered rotational symmetry and constant pressure gradient. Similarly, flow in an infinite long channel with top suction and bottom injection, and unsteady flow in an infinite channel with oscillating pressure are also discussed in the literature. These initial models were expressed in one dimension and were consistent to certain approximations. Berman 2 was the first to consider laminar, two dimensional, incompressible, viscous flows that occurred due to the uniform suction between rectangular parallel and semi-infinite porous walls. He derived his solution using the perturbation technique assuming that Reynolds number is small. His work was later extended by various authors for numerous values of Reynolds number and varying flow conditions (see Sellars, 3 Proudman, 4 and Terill 5 ). Oscillatory flow in a channel has been studied by Ali and Asghar 6 for the case of small suction. Marwat and Asghar 7 investigated the flow between inclined plane w...

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Theoretical investigation of unsteady MHD flow of Casson hybrid nanofluid in porous medium: Applications of thermal radiations and nanoparticle

Ali,

Rabia,

Hussain

et al. 2024

Journal of Radiation Research and Applied Sciences

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Oscillatory Flow in a Porous Channel with Porous Medium and Small Suction

Cited by 3 publications

References 27 publications

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Soret and Dufour effects between two rectangular plane walls with heat source/sink

Theoretical investigation of unsteady MHD flow of Casson hybrid nanofluid in porous medium: Applications of thermal radiations and nanoparticle

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