Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method

Kefayati, Gholamreza

doi:10.1016/j.icheatmasstransfer.2012.10.024

Cited by 156 publications

(41 citation statements)

References 33 publications

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“…However, considerable results are reported in the literature for the limiting case of the present problem, i.e., natural convection in an open ended square cavity comprising of the completely (L h =1) heated isothermal left (x=0) wall and right (x=L) wall open to ambient conditions with thermally isolated top and bottom walls. To ascertain the reliability and accuracy of the present solution approach, therefore, the results obtained herein for the limiting case have been compared with the previous studies [34,39]. Table 3 compares the present values of the average Nusselt number (Nu) of the completely (L h =1) heated isothermal left (x=0) wall with the previous results [34,39] for the two values of the Rayleigh number (Ra=10 4 and 10 5 ) at a fixed value of the Prandtl number (Pr=0.7).…”

Section: Validation Of Resultsmentioning

confidence: 99%

“…(39)) criterion has been used to check the convergence of numerical solution. (39) where, φ represents physical flow variables (i.e., velocity components u x , u y , and temperature T) checked for convergence and N is the number of lattice nodes in the computational domain. The superscripts 'new' and ' old' represent for the flow variables calculated at the present and previous time/iterative calculation steps.…”

Section: Numerical Algorithmmentioning

confidence: 99%

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Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity

Gangawane

Bharti

Kumar

2015

Korean J. Chem. Eng.

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Natural convection characteristics of a partially heated open ended square cavity have been investigated numerically by using an in-house computational flow solver based on the passive scalar thermal lattice Boltzmann method (PS-TLBM) with D2Q9 (two-dimensional and nine-velocity link) lattice model. The partial part of left wall of the cavity is heated isothermally at either of the three different (bottom, middle and top) locations for the fixed heating length as half of characteristic length (H/2) while the right wall is open to the ambient conditions. The other parts of the cavity are thermally isolated. In particular, the influences of partial heating locations and Rayleigh number (10 3 ≤ Ra≤10 6 ) in the laminar zone on the local and global natural convection characteristics (such as streamline, vorticity and isotherm contours; centerline variations of velocity and temperature; and local and average Nusselt numbers) have been presented and discussed for the fixed value of the Prandtl number (Pr=0.71). The streamline patterns show qualitatively similar nature for all the three heating cases and Rayleigh numbers, except the change in the recirculation zone which is found to be largest for middle heating case. Isotherm patterns are shifted towards a partially heated wall on increasing Rayleigh number and/or shifting of heating location from bottom to top. Both the local and average Nusselt numbers, as anticipated, shown proportional increase with Rayleigh number. The cavity with middle heating location shown higher heat transfer rate than that for the top and bottom heating cases. Finally, the functional dependence of the average Nusselt number on flow governing parameters is also presented as a closure relationship for the best possible utilization in engineering practices and design.

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Section: Validation Of Resultsmentioning

confidence: 99%

Section: Numerical Algorithmmentioning

confidence: 99%

Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity

Gangawane

Bharti

Kumar

2015

Korean J. Chem. Eng.

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“…It was seen that augmenting, Rayleigh number, nanoparticles volume fraction, and aspect ratio ameliorate the heat transfer while augmenting Hartmann number reduce it. In addition, combined effects of magnetic field intensity and nanoparticles volume fraction on natural and mixed convection have been investigated by different authors: Aminossadati (2013), Sheikholeslami et al (2014c), Kobra et al (2014), Zhou and Yan (2015), Bakhshan et al (2014), Kefayati (2013aKefayati ( , 2013b, Teamah and Elmaghlany (2012), Ahrar and Djavareshkian (2016).…”

Section: Introductionmentioning

confidence: 99%

Magnetoconvection and entropy generation of nanofluid in an enclosure with an isothermal block: Performance evaluation criteria analysis

Belhaj

Ben-Beya

2018

JTST

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In this paper, heat transfer and entropy generation of MHD natural convection of Carbone NanoTube (CNT)-water nanofluids in a square cavity with and without isothermal block are numerically studied. The cavity is heated sinusoidally, according to the X coordinate, from below and it is cooled isothermally from the top. The two vertical walls are kept adiabatic. Three cases were investigated: square cavity without block (WB), with cold block (CB), and with hot block (HB). The nonlinear governing equations and boundary conditions are discretized using finite volume approach with the Quick scheme and solved numerically by projection algorithm for the pressure-velocity coupling together with the multigrid solver. Simulations were carried out based on various flow-governing parameters such as Hartmann number (0

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“…When unpredictable behaviors of nanofluids wed the complexity of MHD, one steps into a dark and unknown area of science, which attracts a large number of scholars. Different solution techniques and test cases with the specific concept about MHD of nanofluids have been considered in the open literature so far [21][22][23][24][25] and there is always room for more.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of Cu-water nanofluid magneto-hydro-dynamics and heat transfer in a cavity containing a circular cylinder of different size and positions

Ahrara¹,

Djavareshkianb²,

Ataiyanc³

2017

IJHT

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In the present study, a nanofluid filled cavity with sinusoidal temperature boundary condition, under the influence of an inclined magnetic field is investigated numerically. The LBM method is applied to simulate the Cu-Water nanofluid flow around an average temperature circular cylinder. In this study, the different braking manners of the magnetic field and the obstacle are compared for different field intensities and directions and various obstacle sizes and positions. The flow and heat transfer behavior of the nanofluid were observed for different Rayleigh numbers (103-106), Hartmann numbers (0-90), nanoparticles' volume fraction (0-6 %), magnetic field direction = (0-90o) and obstacle aspect ratios (0.05, 0.1 and 0.2) and positions (0-8). The results indicated that the influence of nanoparticles for this geometry and boundary condition is highly dependent on the Rayleigh and Hartmann numbers. Also, it was shown that for lower Ra numbers, the obstacle with an aspect ratio of 0.1 presents better heat transfer rate; while for higher Ra numbers the obstacle size is much less important than its position.

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Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method

Cited by 156 publications

References 33 publications

Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity

Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity

Magnetoconvection and entropy generation of nanofluid in an enclosure with an isothermal block: Performance evaluation criteria analysis

Numerical simulation of Cu-water nanofluid magneto-hydro-dynamics and heat transfer in a cavity containing a circular cylinder of different size and positions

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