Numerical analysis of magnetic fluid flow in a square cavity. GSMAC finite element method of magnetic fluid.

Okanaga, Hiroo; Shizawa, Kazuyuki; Yashima, Noboru; Tanahashi, Takahiko

doi:10.1299/kikaib.53.2414

Cited by 4 publications

(4 citation statements)

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“…1. This is a widely used approach, also known as low-R m approximation that is incorporated in several studies in the relative literature, such as [30,31]. This approach allows the neglecting of the solution of the magnetic induction equation leading to a reduction of the equations that need to be solved.…”

Section: Governing Equationsmentioning

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: Governing Equationsmentioning

confidence: 99%

“…To the authors knowledge, there are extremely limited studies on micropolar flows considering that due to magnetization, MMR effect on microrotation [30,31] is important. In the present model flow, a simple micropolar Couette flow is examined under uniform magnetic and electric fields.…”

Section: Introductionmentioning

confidence: 99%

Micromagnetorotation of MHD Micropolar Flows

et al. 2020

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“…where Re is the Reynolds number, is the polarity effect parameter, is the magnetic effect parameter, Pe is the rotational Peclet number, Ra is the Rayleigh number, Pr is the Prandtl number, and is the unit vector of direction of the gravitational acceleration [21,22]. Dimensionless parameters are expressed as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

Numerical Investigation on Heat and Flow Characteristics of Temperature-Sensitive Ferrofluid in a Square Cavity

Lee

Seo

2013

Advances in Mechanical Engineering

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The objective of this paper is numerically to study the heat and flow characteristics of temperature-sensitive ferrofluid in the square cavity with and without the magnetic intensity. The numerical model was developed to predict the behavior of the ferrofluid using finite element method (FEM) and showed good agreement with the existing data within 5% at all Rayleigh number ranges from 10 3 to 10 6 . Natural convection and heat transfer characteristics of the ferrofluids within the tested cavity were found to depend on both magnetic intensity and magnetic volume fractions of magnetite. In addition, the mean Nusselt numbers and mean velocity of the ferrofluid in a square cavity were increased with the rise of the magnetic intensities and increased by 23.2% and 143.7%, respectively, at both magnetic intensity of H = 10000 A/m and elapsed time of t = 30000 seconds.

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“…To the authors’ best knowledge, there are an extremely limited number of investigations that apply Shizawa and Tanahashi's model on MHD micropolar fluid flows (Okanaga et al. 1987; Shizawa, Ido & Tanahashi 1987 a , b ; Henjes 1992). Recently, Aslani et al.…”

Section: Introductionmentioning

confidence: 99%