Numerical Simulation of Mixed‐Convection Flow in a Lid‐Driven Porous Cavity Using Different Nanofluids

Mittal, Nitesh; Satheesh, A.; Kumar, Deepak

doi:10.1002/htj.21075

Cited by 13 publications

(4 citation statements)

References 28 publications

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“…Natural or mixed convection inside a two-sided lid-driven porous cavity has been studied by Vardhana and Das [11], Muthtamilselvan et al [12], Behzadi et al [13], Mittal et al [14], Chattopadhyay et al [15]. They have all investigated the mixed convection inside a two-sided lid-driven square porous cavity, in which the left and right walls move at a constant speed in the same or opposite directions.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection in a Two-Sided and Four-Sided Lid-Driven Square Porous Cavity

Bagai¹,

Kumar²,

Patel³

2021

IJHT

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The present paper investigates the mixed convection in a two-sided and four-sided lid-driven square cavity in porous media. In the two-sided porous cavity, the left and right walls of the enclosure are maintained at constant but different temperatures, while the top and bottom walls are adiabatic. The top and the bottom walls of the enclosure move with a constant speed from left to right. In the four-sided porous cavity, the top and the bottom walls of the enclosure move from left to right and right to left, respectively, while the left and the right walls move from top to bottom and bottom to top, respectively, with a constant speed. The left and right walls of the enclosure are maintained at different heat fluxes, while the top and bottom walls are maintained at hot and cold temperatures, respectively. The governing equations are discretized by the fully implicit finite difference method, namely, Alternating-Direction-Implicit (ADI) method. The numerical results are analyzed for the effect of Darcy number (Da = 0.001, 0.01), Prandtl number (Pr = 7), Grashof number (Gr = 50,000), porosity (ε = 0.2) and viscosity ratio (Λ = 1, 3). The stability and convergence of the considered problem have been proved using the Matrix method.

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Section: Introductionmentioning

confidence: 99%

Mixed Convection in a Two-Sided and Four-Sided Lid-Driven Square Porous Cavity

Bagai¹,

Kumar²,

Patel³

2021

IJHT

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“…As a result, the forced convection is formed and simultaneously mixed with the natural convections. The mixed flow is very complex as the surface capillary forces and body forces interact on different scales, making it difficult for the flow stability to be well recognized and controlled [7,8]. However, the stability of the mixed convection plays a key role in the growth of high-quality crystals.…”

Section: Introductionmentioning

confidence: 99%

Mixed Oscillation Flow of Binary Fluid with Minus One Capillary Ratio in the Czochralski Crystal Growth Model

Chen

2020

Crystals

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This work presented a series of three-dimensional unsteady numerical simulations on the characteristics of the mixed oscillation flows of binary mixture in a Czochralski crystal growth model. The silicon-germanium melt is investigated and the capillary ratio is minus one. The simulation results showed that, for the special capillary ratio, the thermal and solutocapillary forces are imposed in opposite directions and counteract each other. With the effect of buoyancy, the balance between the capillary forces is disturbed. Mixed with the forced convection driven by rotation, the capillary-buoyancy convection is complex. The basic mixed flow streamlines are presented as various rolling cells. The directions of the rolls are dependent on the combinations of surface and body forces. With the increase of temperature gradient, the basic flow stability is broken, and the oscillations occur. The crucible rotation has an effective influence on the stability enhancement. However, affected by the crystal rotation, the critical condition experiences an increase to a turning point, and then undergoes a sharp reduction to zero. Once the instability is incubated, the surface oscillations are analyzed. For the three-dimensional steady flow, only spatial oscillations are observed circumferentially, and the surface patterns of spokes, rosebud, and pulsating ring are obtained. For the unsteady oscillation flow, the spiral hydrosoultal waves, rotating waves, and superimposition of spirals and spokes are observed, and the oscillation behaviors are also discussed.

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“…A lid-driven cavity serves as a simple model for many practical engineering applications, a good amount of work has been directed on mixed convection studies in such models. Mittal and colleagues [22] from his investigations showed the heat transfer augmentation in a lid-driven cavity with the addition of nanoparticles in the base fluid. Muthtamilselvan and colleagues [23] conducted numerical experiments on heat transfer enhancement with copper-water nanofluid in a lid-driven enclosure for different aspect ratios.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigations on the Advantage of Nanofluids under DDMC in a Lid‐Driven Cavity

Reddy

Murugesan

2017

Heat Trans. Asian Res.

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Double diffusive mixed convection in a lid-driven cavity filled with Cu-water nanofluid is studied in detail. Various numerical experiments are conducted under horizontal thermal and concentration gradients. Flow equations were solved in velocity vorticity form using Galerkin's weighted residual finite element method. The Maxwell-Garnett model and Brinkman models are applied to predict the thermal conductivity and dynamic viscosity of the nanofluid, respectively. The effectiveness of a nanofluid on heat transfer enhancement with respect to change in Richardson number has been studied at different Reynolds numbers for variation in particle volume fraction from 0 to 0.05. Similarly, the effect of buoyancy ratio on heat and mass transfer is presented for buoyancy ratio in the range of −25 to 25. Detailed contour plots comparing the streamlines, temperature, concentration with and without nanoparticles were presented for all the range of parameters considered. The role of particle concentration and change in type of nanofluid has been reported. The average Nusselt number has increased in all the cases where as the Sherwood number slightly decreased with an increase in particle volume fraction. The Ag-water nanofluid showed better improvement in heat transfer characteristics compared to other nanofluids for

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Numerical Simulation of Mixed‐Convection Flow in a Lid‐Driven Porous Cavity Using Different Nanofluids

Cited by 13 publications

References 28 publications

Mixed Convection in a Two-Sided and Four-Sided Lid-Driven Square Porous Cavity

Mixed Convection in a Two-Sided and Four-Sided Lid-Driven Square Porous Cavity

Mixed Oscillation Flow of Binary Fluid with Minus One Capillary Ratio in the Czochralski Crystal Growth Model

Numerical Investigations on the Advantage of Nanofluids under DDMC in a Lid‐Driven Cavity

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