Study of coupled double diffusive convection–radiation in a tilted cavity via a hybrid multi-relaxation time-lattice Boltzmann-finite difference and discrete ordinate methods

Moufekkir, F.; Moussaoui, Mohammed Amine; Mezrhab, Ahmed; Naji, Hassane

doi:10.1007/s00231-014-1423-0

Cited by 9 publications

(3 citation statements)

References 28 publications

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“…Lattice Boltzmann method is utilized to simulate different hydrodynamics systems [36,37]. The reason for the popularity of LBM over conventional CFD methods is the local dynamic and special nature of this method that allows users to easily parallel the computation and simple adoption of the method.…”

Section: Lattice Boltzmann Methods Implementationmentioning

confidence: 99%

Lattice Boltzmann simulation of magneto-hydrodynamic double-diffusive natural convection in an enclosure with internal heat and solute source using nanofluids

2020

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Magneto-hydrodynamic double-diffusive natural convection in a cavity is numerically investigated in the present work. Al 2 O 3 , Cu, and Ag based nanofluids in a square cavity with a thermal and solute source in the center, and uniform magnetic field are considered. The Patel model is employed to estimate the thermal conductivity of applied nanofluids, and the numerical calculation is based on the implementation of the lattice Boltzmann method and utilizing the standard D 2 Q 9 model to study the heat transfer, and also species concentration. A parametric study is carried out to observe the influence of the type, the volume fraction of nanoparticle ( = 0 − 5% ), Rayleigh ( Ra = 10 4 − 10 5 − 10 6 ) , Lewis (0.1 − 2 − 10) , and Hartmann number (10 − 20 − 100) on average Nusselt and Sherwood numbers, flow fields, temperature, and concentration distribution. The results show that an augment in nanoparticle volume fraction and Rayleigh number increased the average Nusselt and Sherwood numbers. Lewis number showed a significant impact on mass transfer rate. However, it did not affect the heat transfer rate remarkably. Applying a magnetic field caused a reduction in flow circulation which resulted in a decline in heat and mass transfer. A comparison of the simulation outcome with the available data shows that the generated code perfectly captures the fluid flow behavior and heat transfer process as a function of the affecting parameters. KeywordsMHD double-diffusive natural convection • Square enclosure • Nanofluids • Lattice Boltzmann method List of symbols Ar Aspect ratio B The magnitude of the magnetic field, T c Lattice speed, m∕s c i Discrete particle speed, m∕s c s Sound velocity, m∕s C Concentration C p Specific heat, Jkg −1 K D Mass diffusivity, m 2 ∕s f , g, h Discrete distribution function F External force

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Section: Lattice Boltzmann Methods Implementationmentioning

confidence: 99%

Lattice Boltzmann simulation of magneto-hydrodynamic double-diffusive natural convection in an enclosure with internal heat and solute source using nanofluids

2020

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“…Few investigations (Nikbakthi and Rahimi, 2012;Khodakhah and Nikbakthi, 2016;Oueslati et al, 2014;Jenaa et al, 2015) were carried out on doublediffusive natural convection in cavities whose side walls are partially heated and cooled.. Nazari et al (2015), Moufekkir et al (2015) and Ren et al (2016) numerically investigated double diffusive natural convection in cavities using Lattice Boltzmann method. Corcione et al (2015) gave correlations for the ddnc in square enclosures induced by opposite temperature and concentration gradients.…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Finite Element Study of DDNC in Bottom Heated Enclosures With Mass Diffusive Side Walls

Reddy¹,

Murugesan²

2017

Frontiers in Heat and Mass Transfer

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In this paper DDNC phenomenon in a bottom heated enclosure exposed to mass diffusion from its side walls is investigated numerically. The interplay between thermal and solutal buoyancy forces on fluid circulation and heat transfer rates is studied in three different enclosures of aspect ratios 0.5, 1.0 and 2.0. Finite element base numerical code has used to solve the governing equations, here velocity and vorticity are taken as primary variables for flow field. Numerical results are well validated with that of the literature. The relative strength of solutal to thermal buoyancy forces is defined by buoyancy ratio parameter 'N', numerical investigations were carried out for different values of N in the range of 0 to 10 and three different Rayleigh numbers(Ra=1.0×10 . From results it is observed that solutal buoyancy forces broken down the larger fluid cells and promoted local circulations of stronger strength. Increase in contribution of solutal buoyancy force has resulted in a maximum of 12.6%, 14.5% and 51% increase in average Nusselt number for shallow, square and deep enclosures respectively when heat transfer is primarily by convection while the effect of buoyancy ratio is not felt much on heat transfer at diffusion dominant conditions i.e at Ra=1.0×10 3 .

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“…They explored the convection characteristics at different height ratios of liquid to air and performed uncertainty analysis for the experimental data. Qin et al (2014) succesfully analysed DDC in a rectangular cavity of aspect ratio 2 using compact difference method, Moufekkir et al(2015) and Ren and Chan (2016) simulated double diffusive convection in vertical enclosures successfully using lattice Boltzmann method. Corcione et al (2015) analysed heat and mass transfer rates in a differentially heated and salted square cavity case and gave the correlations of Nusselt number and Sherwood number.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Vorticity and Heat Flow in Bottom Heated DDC Systems at Nominal Rayleigh Number

Reddy¹,

Murugesan²

2018

JAFM

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Double diffusive convection (DDC) flows are widely seen in many industrial processes where the thermo-solutal buoyancy forces generates vorticity and initiates convective heat and mass transfer. In this paper numerical computations are conducted on this behaviour inside cavities of different aspect ratio at nominal Rayleigh number using a finite element based code. Velocity -vorticity form of Navier-Stokes equations are solved along with energy and solutal concentration conservation equations simultaneously using Galerkin's weighted residual method. Bottom wall is assumed hot and salted while top wall is maintained as sink, both side walls of the cavity are assumed to be adiabatic to heat and mass flow. Generally cavities with the present boundary conditions exhibit weak vorticity and convection characteristic especially at low Rayleigh number. In this numerical work an attempt is made to explore the role of variation in relative strength of thermal and solutal buoyancy forces on flow characteristics and mode of heat and mass transfer in such conditions. Simulation results have been reported for different buoyancy ratios in the range -2≤N≤2 , Rayleigh number varying from 1.0e5 to 1.0e3, for cavities of aspect ratios, 0.5(shallow), 1 (square) and 2 (deep). Flow contours are well validated with the results in the literature. The fluid rotation patterns are captured and reported under different operating conditions chosen, the vorticity generation is observed relatively low for deep cavity when compared to other two. Investigations revealed that fluid convection gets greatly hampered when operated in negative buoyancy ratio regime and require relatively higher Rayleigh number to change the mode of heat transfer from diffusion to convection.

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Study of coupled double diffusive convection–radiation in a tilted cavity via a hybrid multi-relaxation time-lattice Boltzmann-finite difference and discrete ordinate methods

Cited by 9 publications

References 28 publications

Lattice Boltzmann simulation of magneto-hydrodynamic double-diffusive natural convection in an enclosure with internal heat and solute source using nanofluids

Lattice Boltzmann simulation of magneto-hydrodynamic double-diffusive natural convection in an enclosure with internal heat and solute source using nanofluids

Finite Element Study of DDNC in Bottom Heated Enclosures With Mass Diffusive Side Walls

Numerical Study of Vorticity and Heat Flow in Bottom Heated DDC Systems at Nominal Rayleigh Number

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