Natural convection of magnetic fluid in a rectangular box

Yamaguchi, Hiroshi; Kobori, Itaru; Uehata, Yoshiharu; Shimada, Kunio

doi:10.1016/s0304-8853(99)00022-0

Cited by 62 publications

(43 citation statements)

References 4 publications

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“…Krakov and Nikiforov [4] addressed the influence of the relative orientation of the temperature gradient and magnetic field on thermomagnetic convection in a square cavity. Yamaguchi et al [5,6] performed experiments in a square enclosure and characterized the heat transfer in terms of a magnetic Rayleigh number.…”

Section: Introductionmentioning

confidence: 99%

A scaling analysis to characterize thermomagnetic convection

Mukhopadhyay

Ganguly

Sen

et al. 2005

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

A scaling analysis to characterize thermomagnetic convection

Mukhopadhyay

Ganguly

Sen

et al. 2005

International Journal of Heat and Mass Transfer

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“…The ferrofluid generally consisted of magnetite nanosized particle of around 1 to 100 nm and carrier liquid such as water, oils, and hydrocarbons with the aid of surfactants in a continuous carrier phase. It can be controlled by both magnitude and direction of an external magnetic field and temperature [1][2][3][4][5][6][7][8][9][10][11][12]. In addition, because of the nanosized magnetic particles consisting of the ferrofluids and the surfactant attached to magnetic particles, the ferrofluid could be prevented from particles sticking to each other or precipitate with Brownian motion [2].…”

Section: Introductionmentioning

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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“…Ferrofluids are superparamagnetic showing a strong response to external magnetic fields [18,19]. Convection in ferrofluids for different situations has been reported both theoretically and experimentally [46][47][48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Chaotic convection in a ferrofluid

Laroze

Siddheshwar

Pleiner

2013

Communications in Nonlinear Science and Numerical Simulation

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a b s t r a c tWe report theoretical and numerical results on thermally driven convection of a magnetic suspension. The magnetic properties can be modeled as those of electrically non-conducting superparamagnets. We perform a truncated Galerkin expansion finding that the system can be described by a generalized Lorenz model. We characterize the dynamical system using different criteria such as Fourier power spectrum, bifurcation diagrams, and Lyapunov exponents. We find that the system exhibits multiple transitions between regular and chaotic behaviors in the parameter space. Transient chaotic behavior in time can be found slightly below their linear instability threshold of the stationary state.

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Natural convection of magnetic fluid in a rectangular box

Cited by 62 publications

References 4 publications

A scaling analysis to characterize thermomagnetic convection

A scaling analysis to characterize thermomagnetic convection

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

Chaotic convection in a ferrofluid

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