Heat transfer rate characteristics of the magnetothermal Rayleigh–Benard convection of paramagnetic air

Akamatsu, Masato; Yasuhara, Kaoru; Kaneda, Masayuki; Ozoe, Hiroyuki

doi:10.1016/j.ijthermalsci.2014.10.007

Cited by 6 publications

(2 citation statements)

References 24 publications

(35 reference statements)

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“…The radial velocity component at the radial center was solved by the technique developed by Ozoe and Toh (1998). A grid independence study has been performed to check the sensitivity of the present program code to the grid size in our previous studies (Akamatsu et al, 2015(Akamatsu et al, , 2016. The present numerical solution has been further validated for the case of Czochralski melt numerically and experimentally (Akamatsu et al, 2001;Ozoe, 2005).…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Natural convective heat transfer characteristics of Rayleigh-Benard convection of Al2O3-water nanofluids

Akamatsu

Izawa

Kawamura

et al. 2017

JTST

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Transient three-dimensional numerical computations are implemented to clarify the natural convective heat transfer characteristics of the Rayleigh-Benard convection of Al2O3-water nanofluids induced in a shallow vertical cylindrical enclosure. The thermophysical properties of nanofluids, assumed to be a single-phase fluid in the numerical computations, are estimated using the experimental correlation equations reported by Khanafer and Vafai (2011). When the average Nusselt numbers of nanofluids are plotted against the Rayleigh number defined by the thermophysical properties of water, computations for four different volume fractions of nanoparticles were below the average Nusselt number curve experimentally reported by Silveston (1958). The diagram also reveals that the increase of nanoparticles in the base fluid delays the generation of Rayleigh-Benard convection. However, the average Nusselt numbers of nanofluids almost agreed with the average Nusselt numbers of Silveston without depending on the volume fraction of nanoparticles when plotted against the Rayleigh number defined by the thermophysical properties of nanofluids. Thus, the natural convection heat transfer rates of Al2O3-water nanofluids can be considered to be similar to the general fluids reported by Silveston as long as experimental thermophysical properties are employed.

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Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Natural convective heat transfer characteristics of Rayleigh-Benard convection of Al2O3-water nanofluids

Akamatsu

Izawa

Kawamura

et al. 2017

JTST

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“…Most fluids can be classified as paramagnetic, diamagnetic or ferromagnetic. Paramagnetic fluids like air, protein, oxygen are widely concerned in the crystal material growth, protein growth (Qi et al, 2001;Moreno et al, 2007), paramagnetic fluids concentration sensor and many other engineering applications (Akamatsu et al, 2015;Yang et al, 2003;Sebastian and Shine, 2015;Kaneda et al, 2015). Traditional computational fluid dynamics methods such as finite volume method (FVM), finite difference method (FDM) and finite element method are commonly used in all the literature mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulation of transient natural convection of air in square cavity under a magnetic quadrupole field

Xie

Yao

et al. 2016

HFF

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Purpose The purpose of this paper is to apply the lattice Boltzmann method (LBM) with multiple distribution functions model, to simulate transient natural convection of air in a two-dimensional square cavity in the presence of a magnetic quadrupole field, under non-gravitational as well as gravitational conditions. Design/methodology/approach The density-temperature double distribution functions and D2Q9 model of LBM for the momentum and temperature equations are currently employed. Detailed transient structures of the flow and isotherms at unsteady state are obtained and compared for a range of magnetic force numbers from 1 to 100. Characteristics of the natural convection at initial moment, quasi-steady state and steady state are presented in present work. Findings At initial time, effects of the magnetic field and gravity are both relatively limited, but the effects become efficient as time evolves. Bi-cellular flow structures are obtained under non-gravitational condition, while the flow presents a single vortex structure at first under gravitational condition, and then emerges a bi-cellular structure with the increase of magnetic field force number. The average Nusselt number generally increases with the augment of magnetic field intensity. Practical implications This paper will be useful in the researches on crystal material and protein growth, oxygen concentration sensor, enhancement or suppression of the heat transfer in micro-electronics and micro-processing technology, etc. Originality/value The current study extended the application of LBM on the transient natural convective problem of paramagnetic fluids in the presence of an inhomogeneous magnetic field.

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3D DNS of laminar Rayleigh-Bénard convection in a cylinder for incompressible fluid flow

Li²,

Chen³

et al. 2022

Chinese Journal of Physics

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Heat transfer rate characteristics of the magnetothermal Rayleigh–Benard convection of paramagnetic air

Cited by 6 publications

References 24 publications

Natural convective heat transfer characteristics of Rayleigh-Benard convection of Al<sub>2</sub>O<sub>3</sub>-water nanofluids

Natural convective heat transfer characteristics of Rayleigh-Benard convection of Al<sub>2</sub>O<sub>3</sub>-water nanofluids

Lattice Boltzmann simulation of transient natural convection of air in square cavity under a magnetic quadrupole field

3D DNS of laminar Rayleigh-Bénard convection in a cylinder for incompressible fluid flow

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