Magnetoconvection of a micropolar fluid in a vertical channel

Borrelli, Alessandra; Giantesio, Giulia; Patria, Maria Cristina

doi:10.1016/j.ijheatmasstransfer.2014.09.031

Cited by 26 publications

(28 citation statements)

References 14 publications

(21 reference statements)

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“…It is studied here in the range of 0 < ε < 1. Hence, when ε tends to zero, the usual Newtonian fluid flow equations are recovered [37,38] and the fluid has denser internal microstructure as ε increases. Thus, ε is a measure of the ratio of micropolar diffusion over molecular dissipation.…”

Section: Effect Of Magnetization For Various Values Of the Micropolarmentioning

confidence: 97%

“…The size effect parameter, λ, (λ = L/i) is related to the geometry of the problem through the half height, L, and the microinertia, i, as well as the angular viscosity coefficient γ, since γ = i 2 η. The range of 5 ≤ λ < 20 is investigated in the present study and this accounts for smaller particles as the values of λ increases, according to the relative literature [37,38]. Furthermore, since L is constant, microinertia and the corresponding angular viscosity decrease as λ increases (i.e., smaller fluid resistance).…”

Section: Effect Of Magnetization For Various Values Of the Size Effecmentioning

confidence: 99%

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Micromagnetorotation of MHD Micropolar Flows

et al. 2020

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The studies dealing with micropolar magnetohydrodynamic (MHD) flows usually ignore the micromagnetorotation (MMR) effect, by assuming that magnetization and magnetic field vectors are parallel. The main objective of the present investigation is to measure the effect of MMR and the possible differences encountered by ignoring it. The MHD planar Couette micropolar flow is solved analytically considering and by ignoring the MMR effect. Subsequently, the influence of MMR on the velocity and microrotation fields as well as skin friction coefficient, is evaluated for various micropolar size and electric effect parameters and Hartmann numbers. It is concluded that depending on the parameters’ combination, as MMR varies, the fluid flow may accelerate, decelerate, or even excite a mixed pattern along the channel height. Thus, the MMR term is a side mechanism, other than the Lorentz force, that transfers or dissipates magnetic energy in the flow direct through microrotation. Acceleration or deceleration of the velocity from 4% to even up to 45% and almost 15% deviation of the skin friction were measured when MMR was considered. The crucial effect of the micromagnetorotation term, which is usually ignored, should be considered for the future design of industrial and bioengineering applications.

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Section: Effect Of Magnetization For Various Values Of the Micropolarmentioning

confidence: 97%

Section: Effect Of Magnetization For Various Values Of the Size Effecmentioning

confidence: 99%

Micromagnetorotation of MHD Micropolar Flows

et al. 2020

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“…Velocity profiles decrease with an increase in Q (Ferraro and Plumpton 1961) and (Borrelli et al 2015). …”

Section: Discussionmentioning

confidence: 99%

“…We study only analytical solution of the problem and some important results of the study are concluded as follows:The axial velocity and transverse velocity, is a decreasing function of as it is an exponential function with negative argument.Increasing values of the Q results in pulling down of velocity profiles.Velocity profiles decrease with an increase in Q (Ferraro and Plumpton 1961) and (Borrelli et al 2015). …”

Section: Discussionmentioning

confidence: 99%

Magnetohydrodynamics flow of a nanofluid driven by a stretching/shrinking sheet with suction

Mahabaleshwar¹,

Kumar²,

Sheremet

2016

SpringerPlus

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The present paper investigates the effect of a mathematical model describing the aforementioned process in which the ambient nanofluid in the presence of suction/injection and magnetic field are taken into consideration. The flow is induced by an infinite elastic sheet which is stretched along its own plane. The stretching/shrinking of the sheet is assumed to be proportional to the distance from the slit. The governing equations are reduced to a nonlinear ordinary differential equation by means of similarity transformation. The consequential nonlinear equation is solved analytically. Consequences show that the flow field can be divided into a near-field region and a far-field region. Suction on the surface plays an important role in the flow development in the near-field whereas the far-field is responsible mainly by stretching. The electromagnetic effect plays exactly the same role as the MHD, which is to reduce the horizontal flow resulting from stretching. It is shown that the behavior of the fluid flow changes with the change of the nanoparticles type. The present study throws light on the analytical solution of a class of laminar boundary layer equations arising in the stretching/shrinking sheet problem.

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“…More recently, Gina Nov et al 25 scrutinized the properties of micropolar uid ow in a wavy differentially heated cavity with natural convection effect. Whereas, the impression of magnetic eld on micropolar uid ow along a vertical channel was explored by Borrelli et al 26 Some important literature which enhances the features of micropolar uids is given in ref.…”

Section: Introductionmentioning

confidence: 99%