On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium

The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through a porous medium is investigated. The dispersion relation has been developed and solved analytically using the normal mode approa...

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Main Authors: Rahul, Naveen Sharma
Format: Article
Language:English
Published: University of Zielona Góra 2022-06-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/On-a-Couple-Stress-Rivlin-Ericksen-Ferromagnetic-Fluid-Heated-from-Below-with-Varying,166716,0,2.html
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author Rahul
Naveen Sharma
author_facet Rahul
Naveen Sharma
author_sort Rahul
collection DOAJ
description The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through a porous medium is investigated. The dispersion relation has been developed and solved analytically using the normal mode approach and linear stability theory. The effect of suspended particles, rotation, couple stress, permeability and magnetic field on the fluid layer has been investigated. For stationary conventions, it is found that suspended particles always have a destabilizing effect for λ >0 and a stabilizing effect for λ <0 and couple-stress, magnetic field and permeability of the medium have a stabilizing effect on the thermal instability under certain conditions. In the absence of the rotation couple-stress has a stabilizing effect if λ >0 and a destabilizing effect if λ <0 . Rotation has a stabilizing effect if λ >0 and a destabilizing effect if λ <0 . In the absence of rotation permeability has a stabilizing effect if λ <0 and a destabilizing effect if λ >0 . Magnetisation always has a stabilizing effect (λ >0 or λ <0 ).
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spelling doaj.art-6098229e78fc4327bb2f3816712aaa7a2023-08-08T15:04:49ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032022-06-0127217719810.2478/ijame-2022-0027166716On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous MediumRahul0Naveen Sharma1D.A.V. College, Muzaffarnagar, Uttar Pradesh- 251001, IndiaD.A.V. College, Muzaffarnagar, Uttar Pradesh- 251001, IndiaThe thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through a porous medium is investigated. The dispersion relation has been developed and solved analytically using the normal mode approach and linear stability theory. The effect of suspended particles, rotation, couple stress, permeability and magnetic field on the fluid layer has been investigated. For stationary conventions, it is found that suspended particles always have a destabilizing effect for λ >0 and a stabilizing effect for λ <0 and couple-stress, magnetic field and permeability of the medium have a stabilizing effect on the thermal instability under certain conditions. In the absence of the rotation couple-stress has a stabilizing effect if λ >0 and a destabilizing effect if λ <0 . Rotation has a stabilizing effect if λ >0 and a destabilizing effect if λ <0 . In the absence of rotation permeability has a stabilizing effect if λ <0 and a destabilizing effect if λ >0 . Magnetisation always has a stabilizing effect (λ >0 or λ <0 ).https://www.ijame-poland.com/On-a-Couple-Stress-Rivlin-Ericksen-Ferromagnetic-Fluid-Heated-from-Below-with-Varying,166716,0,2.htmlthermal instabilitymagnetic fieldcouple-stress fluidferromagnetic fluidsuspended particles
spellingShingle Rahul
Naveen Sharma
On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
International Journal of Applied Mechanics and Engineering
thermal instability
magnetic field
couple-stress fluid
ferromagnetic fluid
suspended particles
title On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
title_full On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
title_fullStr On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
title_full_unstemmed On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
title_short On a Couple-Stress Rivlin-Ericksen Ferromagnetic Fluid Heated from Below with Varying Gravity, Rotation, Magnetic Field and Suspended Particles Flowing Through a Porous Medium
title_sort on a couple stress rivlin ericksen ferromagnetic fluid heated from below with varying gravity rotation magnetic field and suspended particles flowing through a porous medium
topic thermal instability
magnetic field
couple-stress fluid
ferromagnetic fluid
suspended particles
url https://www.ijame-poland.com/On-a-Couple-Stress-Rivlin-Ericksen-Ferromagnetic-Fluid-Heated-from-Below-with-Varying,166716,0,2.html
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AT naveensharma onacouplestressrivlinericksenferromagneticfluidheatedfrombelowwithvaryinggravityrotationmagneticfieldandsuspendedparticlesflowingthroughaporousmedium