Influence of a magnetic field on the flow of a micropolar fluid sandwiched between two Newtonian fluid layers through a porous medium

Pramod Kumar Yadav, Sneha Jaiswal, Taimoor Asim, Rakesh Mishra

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The present problem is concerned with the flow of micropolar/Eringen fluid sandwiched between two Newtonian fluid layers through the horizontal porous channel. The flow in both the regions is steady, incompressible and the fluids are immiscible. The flow is driven by a constant pressure gradient and a magnetic field of uniform strength is being applied in the direction perpendicular to the flow. The flow of electrically conducting fluids, in the three regions, is governed by the Brinkman equation with the assumption that the effective viscosity of each fluid is the same as the viscosity of the fluid. No-slip conditions at the end of the plates, continuity of velocity, continuity of shearing stress and constant rotational velocity at the interface have been used as the boundary conditions to get the solution of the problem considered. The numerical values of the solution obtained are used to analyse the effect of various transport parameters, such as permeability of porous region, magnetic number, viscosity ratio etc. on the velocity profile and micro rotational velocity profile graphically. Also, the variations in the flow rate and the wall shear stress, with respect to the governing parameters, are presented in tabular form.
Original languageEnglish
Article number247
Number of pages13
JournalEuropean Physical Journal Plus
Volume133
Issue number7
DOIs
Publication statusPublished - 3 Jul 2018

Fingerprint

micropolar fluids
Newtonian fluids
magnetic fields
fluids
viscosity
continuity
shear stress
velocity distribution
conducting fluids
incompressible fluids
pressure gradients
permeability
slip
flow velocity
boundary conditions

Cite this

@article{10ba667549fd4968b260a41c3665d5a2,
title = "Influence of a magnetic field on the flow of a micropolar fluid sandwiched between two Newtonian fluid layers through a porous medium",
abstract = "The present problem is concerned with the flow of micropolar/Eringen fluid sandwiched between two Newtonian fluid layers through the horizontal porous channel. The flow in both the regions is steady, incompressible and the fluids are immiscible. The flow is driven by a constant pressure gradient and a magnetic field of uniform strength is being applied in the direction perpendicular to the flow. The flow of electrically conducting fluids, in the three regions, is governed by the Brinkman equation with the assumption that the effective viscosity of each fluid is the same as the viscosity of the fluid. No-slip conditions at the end of the plates, continuity of velocity, continuity of shearing stress and constant rotational velocity at the interface have been used as the boundary conditions to get the solution of the problem considered. The numerical values of the solution obtained are used to analyse the effect of various transport parameters, such as permeability of porous region, magnetic number, viscosity ratio etc. on the velocity profile and micro rotational velocity profile graphically. Also, the variations in the flow rate and the wall shear stress, with respect to the governing parameters, are presented in tabular form.",
keywords = "flow rate, Hartmann Number, interface, micropolar fluid, porous medium",
author = "{Kumar Yadav}, Pramod and Sneha Jaiswal and Taimoor Asim and Rakesh Mishra",
year = "2018",
month = "7",
day = "3",
doi = "10.1140/epjp/i2018-12071-5",
language = "English",
volume = "133",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Science + Business Media",
number = "7",

}

Influence of a magnetic field on the flow of a micropolar fluid sandwiched between two Newtonian fluid layers through a porous medium. / Kumar Yadav, Pramod; Jaiswal, Sneha; Asim, Taimoor; Mishra, Rakesh.

In: European Physical Journal Plus, Vol. 133, No. 7, 247, 03.07.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Influence of a magnetic field on the flow of a micropolar fluid sandwiched between two Newtonian fluid layers through a porous medium

AU - Kumar Yadav, Pramod

AU - Jaiswal, Sneha

AU - Asim, Taimoor

AU - Mishra, Rakesh

PY - 2018/7/3

Y1 - 2018/7/3

N2 - The present problem is concerned with the flow of micropolar/Eringen fluid sandwiched between two Newtonian fluid layers through the horizontal porous channel. The flow in both the regions is steady, incompressible and the fluids are immiscible. The flow is driven by a constant pressure gradient and a magnetic field of uniform strength is being applied in the direction perpendicular to the flow. The flow of electrically conducting fluids, in the three regions, is governed by the Brinkman equation with the assumption that the effective viscosity of each fluid is the same as the viscosity of the fluid. No-slip conditions at the end of the plates, continuity of velocity, continuity of shearing stress and constant rotational velocity at the interface have been used as the boundary conditions to get the solution of the problem considered. The numerical values of the solution obtained are used to analyse the effect of various transport parameters, such as permeability of porous region, magnetic number, viscosity ratio etc. on the velocity profile and micro rotational velocity profile graphically. Also, the variations in the flow rate and the wall shear stress, with respect to the governing parameters, are presented in tabular form.

AB - The present problem is concerned with the flow of micropolar/Eringen fluid sandwiched between two Newtonian fluid layers through the horizontal porous channel. The flow in both the regions is steady, incompressible and the fluids are immiscible. The flow is driven by a constant pressure gradient and a magnetic field of uniform strength is being applied in the direction perpendicular to the flow. The flow of electrically conducting fluids, in the three regions, is governed by the Brinkman equation with the assumption that the effective viscosity of each fluid is the same as the viscosity of the fluid. No-slip conditions at the end of the plates, continuity of velocity, continuity of shearing stress and constant rotational velocity at the interface have been used as the boundary conditions to get the solution of the problem considered. The numerical values of the solution obtained are used to analyse the effect of various transport parameters, such as permeability of porous region, magnetic number, viscosity ratio etc. on the velocity profile and micro rotational velocity profile graphically. Also, the variations in the flow rate and the wall shear stress, with respect to the governing parameters, are presented in tabular form.

KW - flow rate

KW - Hartmann Number

KW - interface

KW - micropolar fluid

KW - porous medium

UR - http://www.scopus.com/inward/record.url?scp=85049240447&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2018-12071-5

DO - 10.1140/epjp/i2018-12071-5

M3 - Article

VL - 133

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 7

M1 - 247

ER -