Effect of constant suction and injection on MHD three dimensional couette flow and heat transfer through a porous medium

Purpose This paper aims to investigate a linear and temporal stability analysis of hybrid nanofluid flow between two parallel plates filled with a porous medium and whose lower plate is fixed and the upper plate animated by a uniform rectilinear motion. Design/methodology/approach The nanofluid is composed of water as a regular fluid, silver (Ag) and alumina (Al2O3) as nanoparticles. The mathematical model takes into account other effects such as the magnetic field and the aspiration (injection/suction). Under the assumption of a low magnetic Reynolds number, a modified Orr–Sommerfeld-type eigenvalue differential equation governing flow stability was derived and solved numerically by Chebyshev’s spectral collocation method. The effects of parameters such as volume fraction, Darcy number, injection/suction Reynolds number, Hartmann number were analyzed. Findings It was found the following: the Darcy number affects the stability of the flow, the injection/suction Reynolds number has a negligible effect, the volume fraction damped disturbances and the magnetic field plays a very important role in enlarging the area of flow stability. Originality/value The originality of this work resides in the linear and temporal stability analysis of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects.

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“…Higher this value, the more prominent is the reduction in velocity. The results closely match with those obtained by Das (2009).…”

Section: Resultssupporting

confidence: 90%

Instability of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects

Kapen

Ketchate

Tchuen

2021

HFF

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“…The effects of the injection/suction through the injection/suction parameter number, Hartmann parameter, permeabilty or Darcy parameter on the stability of the fluids flows were also studied with different approach [2] [5] [6] [7] [8].…”

Section: Introductionmentioning

confidence: 99%

“…In [6], the authors have considered the unsteady hydromagnetic incompressible viscous fluid flow through a porous medium in a horizontal channel under prescribed discharge, under the influence of inclined magnetic field. Das [2] analyzed the effects of constant suction and sinusoidal injection on three dimensional Couette flow of a viscous incompressible electrically conducting fluid through a porous medium between two infinite horizontal parallel porous flat plates in presence of a transverse magnetic field.…”

Section: Introductionmentioning

confidence: 99%

A New Approach for the Stability Analysis in Hydromagnetic Couette Flow

Monwanou¹,

Hinvi²,

Miwadinou³

et al. 2017

JAMP

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This paper analyses the effects of small injection/suction Reynolds number, Hartmann parameter, permeability parameter and wave number on a viscous incompressible electrically conducting fluid flow in a parallel porous plates forming a channel. The plates of the channel are parallel with the same constant temperature and subjected to a small injection/suction. The upper plate is allowed to move in flow direction and the lower plate is kept at rest. A uniform magnetic field is applied perpendicularly to the plates. The main objective of the paper is to study the effect of the above parameters on temporal linear stability analysis of the flow with a new approach based on modified Orr-Sommerfeld equation. It is obtained that the permeability parameter, the Hartmann parameter and the wave number contribute to the linear temporal stability while the small injection/suction Reynolds number has a negligible effect on the stability.

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“…It has been proven theoretically and experimentally that the transition from laminar to turbulent flow which causes the drag coefficient to increase may be prevented/delayed by suction of the fluid by the application of transverse magnetic field and by heat and mass transfer from the boundary layer to the wall. Das [12] studied three-dimensional MHD Couette flow of a viscous incompressible fluid with heat transfer through a porous plate and reported effects of constant suction and sinusoidal injection on the flow. Sharma and Chaudhary [13] presented MHD effect on viscous incompressible flow between two horizontal parallel porous plates and heat transfer with periodic injection/suction.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Three‐Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

Ali

Rana

Shoaib

2017

Mathematical Problems in Engineering

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A mathematical model for magnetohydrodynamic (MHD) three-dimensional Couette flow of an incompressible Maxwell fluid is developed and analyzed theoretically. The application of transverse sinusoidal injection at the lower stationary plate and its equivalent removal by suction through the uniformly moving upper plate lead to three-dimensional flow. Approximate solutions for velocity field, pressure, and skin friction are obtained. The effects of flow parameters such as Hartmann number, Reynolds number, suction/injection parameter, and the Deborah number on velocity components, skin friction factors along main flow direction and transverse direction, and pressure through parallel porous plates are discussed graphically. It is noted that Hartmann number provides a mechanism to control the skin friction component along the main flow direction.

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Effect of constant suction and injection on MHD three dimensional couette flow and heat transfer through a porous medium

Abstract: Abstract:The

Cited by 13 publications

References 8 publications

Instability of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects

Instability of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects

A New Approach for the Stability Analysis in Hydromagnetic Couette Flow

Magnetohydrodynamic Three‐Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

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