Transient Laminar MHD Natural Convection Cooling in a Vertical Cylinder

Iatridis, A.J.; Sarris, Ioannis E.; Vlachos, N. S.

doi:10.1080/10407782.2012.703082

Cited by 5 publications

(2 citation statements)

References 25 publications

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“…The flow field is a standard benchmark for instability after evolution of the system for a sufficient number of eddy turnovers provided that there are significant density differences or high slope angles [14]. In other words, the convective mixing process of the vertical layers begins when convective forces due to accelerated layers overcome the tendency of the layers to remain stable.…”

Section: Analysis Of the Curvature Field 591mentioning

confidence: 99%

Analysis of the Curvature Field of a Density-Driven Convective Flow

Sharafatmandjoor

Sidik

Boroujerdi

et al. 2014

Numerical Heat Transfer, Part A: Applications

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Number, emerging level, and divergence measure of the critical points of the curvature field are assessed as indicators of the onset of instability of a two-dimensional stratified gravitational flow. A projection-based Arakawa-C finite-difference method is employed to solve the Navier-Stokes and buoyancy equations governing a flow field which is initiated with a sharp density difference and is inclined with a small slope angle, and then the critical points are obtained from the velocity field. For the well-established critical Richardson numbers the critical points begin to emerge. Then, we monitor the statistical features of the emerging critical points around the sharp interface as pointers of the beginning of the mixing phenomenon. The results show that it is possible to study several critical points to quantitatively predict the onset of instability in gravitational flows.

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Section: Analysis Of the Curvature Field 591mentioning

confidence: 99%

Analysis of the Curvature Field of a Density-Driven Convective Flow

Sharafatmandjoor

Sidik

Boroujerdi

et al. 2014

Numerical Heat Transfer, Part A: Applications

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“…Strong effects of the maximum density temperature on heat transfer were observed due to the bi-cellular flow structure. Iatridis et al (2012) investigated the transient natural convection of cooling process in a vertical cylinder in the presence of an axial magnetic field. They found that the effect of magnetic field on boundary layer is insignificant at first, and they also indicated that the cooling process lasts longer relative to the pure hydrodynamic case.…”

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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