Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Moutaouakil, Lahcen El; Zrikem, Z.; Abdelbaki, Abdelhalim

doi:10.1155/2017/3834170

Cited by 18 publications

(13 citation statements)

References 28 publications

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“…For controlling fluid flow because of convection in an enclosure, the researchers are using the detached obstacle of varying shapescircular cylinder (Jami et al, 2007;Angeli et al, 2008;Raizah, 2017;Toghraie et al, 2019;Alsabery et al, 2019;Selimefendigil et al, 2019;Selimefendigil and Öztop, 2015;Selimefendigil and Öztop, 2018), square (Ha and Jung, 2000;Alsabery et al, 2020), triangular (Xu et al, 2009;Sheikholeslami et al, 2015), hexagonal (Gangawane and Manikandan, 2017;Alapati, 2020;El Moutaouakil et al, 2017), elliptical (Bararnia et al, 2011;Tayebi et al, 2019;Dogonchi et al, 2020), wavy shape (Hashemi-Tilehnoee et al, 2020), etc.which are needed for industrial applications. Md et al (2009) analyzed the numerical study of combined free and forced convection between a rectangular cavity and a heat-conducting circular cylinder.…”

Section: Subscripts F = Fluid;mentioning

confidence: 99%

Double-diffusive convection of a nanofluid in a porous cavity containing rotating hexagon and circular cylinders: ISPH simulations

Aly

Raizah

2021

HFF

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Purpose The purpose of this study is to apply an incompressible smoothed particle hydrodynamics (ISPH) method to simulate the Magnetohydrodynamic (MHD) free convection flow of a nanofluid in a porous cavity containing rotating hexagonal and two circular cylinders under the impacts of Soret and Dufour numbers. Design/methodology/approach The inner shapes are rotating around a cavity center by a uniform circular motion at angular rate ω. An inner hexagonal shape has higher temperature Th and concentration Ch than the inner two circular cylinders in which the temperature is Tc and concentration is Cc. The performed numerical simulations are presented in terms of the streamlines, isotherms and isoconcentration as well as the profiles of average Nusselt and Sherwood numbers. Findings The results indicated that the uniform motions of inner shapes are changing the characteristics of the fluid flow, temperature and concentration inside a cavity. An augmentation on a Hartman parameter slows down the flow speed and an inclination angle of a magnetic field raises the flow speed. A rise in the Soret number accompanied by a reduction in the Dufour number lead to a growth in the concentration distribution in a cavity. Originality/value ISPH method is used to simulate the double-diffusive convection of novel rotating shapes in a porous cavity. The inner novel shapes are rotating hexagonal and two circular cylinders.

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Section: Subscripts F = Fluid;mentioning

confidence: 99%

Double-diffusive convection of a nanofluid in a porous cavity containing rotating hexagon and circular cylinders: ISPH simulations

Aly

Raizah

2021

HFF

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“…However, the maximum and minimum average Nusselt numbers for the outer cylinder occurred at the inclination angles of 0 and 90 degrees, respectively. As an example of another shape of the cylinder, El Moutaoukil et al (2017) studied the problem for the inner hexagonal cylinder and a square enclosure in horizontal and vertical modes with water as the working fluid. They concluded that for the higher dimensionless values of hexagonal cylindrical cross-section, the influence of the orientation of the hexagon on the heat transfer is more noticeable.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effects of geometrical parameters, eccentricity and perforated fins on natural convection heat transfer in a finned horizontal annulus using three dimensional lattice Boltzmann flux solver

Ashouri

Zarei

Moosavi

2021

HFF

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Purpose The purpose of this paper is to investigate the effects of geometrical parameters, eccentricity and perforated fins on natural convection heat transfer in a finned horizontal annulus using three-dimensional lattice Boltzmann flux solver. Design/methodology/approach Three-dimensional lattice Boltzmann flux solver is used in the present study for simulating conjugate heat transfer within an annulus. D3Q15 and D3Q7 models are used to solve the fluid flow and temperature field, respectively. The finite volume method is used to discretize mass, momentum and energy equations. The Chapman–Enskog expansion analysis is used to establish the connection between the lattice Boltzmann equation local solution and macroscopic fluxes. To improve the accuracy of the lattice Boltzmann method for curved boundaries, lattice Boltzmann equation local solution at each cell interface is considered to be independent of each other. Findings It is found that the maximum heat transfer rate occurs at low fin spacing especially by increasing the fin height and decreasing the internal-cylindrical distance. The effect of inner cylinder eccentricity is not much considerable (up to 5.2% enhancement) while the impact of fin eccentricity is more remarkable. Negative fin eccentricity further enhances the heat transfer rate compared to a positive fin eccentricity and the maximum heat transfer enhancement of 91.7% is obtained. The influence of using perforated fins is more considerable at low fin spacing although some heat transfer enhancements are observed at higher fin spacing. Originality/value The originality of this paper is to study three-dimensional natural convection in a finned-horizontal annulus using three-dimensional lattice Boltzmann flux solver, as well as to apply symmetry and periodic boundary conditions and to analyze the effect of eccentric annular fins (for the first time for air) and perforated annular fins (for the first time so far) on the heat transfer rate.

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“…Because of its many advantages [15] compared to the classical Navier-Stokes equations solvers, LBM has been successfully used to simulate various Multiphysics problems such as multiphase flows [15][16][17], magnetohydrodynamic (MHD) flows [18,19], micro-and nano-flows [20][21][22] and fluid-solid interactions [13,[23][24][25][26]. LBM has also been successfully implemented to predict the behavior of the fluid flow due to natural convection in complex geometries [27][28][29][30][31][32][33][34][35][36][37]. In the above-mentioned research works on natural convection, the following techniques have been used to handle the no-slip and constant temperature BC on complex irregular surfaces: the bounce back (BB) scheme [27][28][29][30][31][32], IBM [33][34][35], and SPM [36,37].…”

Section: Introductionmentioning

confidence: 99%

“…LBM has also been successfully implemented to predict the behavior of the fluid flow due to natural convection in complex geometries [27][28][29][30][31][32][33][34][35][36][37]. In the above-mentioned research works on natural convection, the following techniques have been used to handle the no-slip and constant temperature BC on complex irregular surfaces: the bounce back (BB) scheme [27][28][29][30][31][32], IBM [33][34][35], and SPM [36,37].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

Alapati

2020

Mathematics

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This research work presents results obtained from the simulation of natural convection inside a concentric hexagonal annulus by using the lattice Boltzmann method (LBM). The fluid flow (pressure and velocity fields) inside the annulus is evaluated by LBM and a finite difference method (FDM) is used to get the temperature filed. The isothermal and no-slip boundary conditions (BC) on the hexagonal edges are treated with a smooth profile method (SPM). At first, for validating the present simulation technique, a standard benchmarking problem of natural convection inside a cold square cavity with a hot circular cylinder is simulated. Later, natural convection simulations inside the hexagonal annulus are carried out for different values of the aspect ratio, AR (ratio of the inner and outer hexagon sizes), and the Rayleigh number, Ra. The simulation results are presented in terms of isotherms (temperature contours), streamlines, temperature, and velocity distributions inside the annulus. The results show that the fluid flow intensity and the size and number of vortex pairs formed inside the annulus strongly depend on AR and Ra values. Based on the concentric isotherms and weak fluid flow intensity at the low Ra, it is observed that the heat transfer inside the annulus is dominated by the conduction mode. However, multiple circulation zones and distorted isotherms are observed at the high Ra due to the strong convective flow. To further access the accuracy and robustness of the present scheme, the present simulation results are compared with the results given by the commercial software, ANSYS-Fluent®. For all combinations of AR and Ra values, the simulation results of streamlines and isotherms patterns, and temperature and velocity distributions inside the annulus are in very good agreement with those of the Fluent software.

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Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Cited by 18 publications

References 28 publications

Double-diffusive convection of a nanofluid in a porous cavity containing rotating hexagon and circular cylinders: ISPH simulations

Double-diffusive convection of a nanofluid in a porous cavity containing rotating hexagon and circular cylinders: ISPH simulations

Investigation of the effects of geometrical parameters, eccentricity and perforated fins on natural convection heat transfer in a finned horizontal annulus using three dimensional lattice Boltzmann flux solver

Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

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