Numerical study of lid‐driven flow in orthogonal and skewed porous cavity

Krishna, D. Jaya; Basak, Tanmay; Das, Sarit K.

doi:10.1002/cnm.993

Cited by 9 publications

(3 citation statements)

References 16 publications

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“…Krishna et al [14] examined in detail the impacts of Darcy number, Re, aspect ratio, porosity, and the skewness angle on the fluid flow in a lid-driven cavity filled with a permeable medium which was saturated with a liquid. They discovered that, with the increase in skew angle as well as the Re and with the decrease in Darcy number, the maximum stream function value decreased.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of channel flow over a skewed equilateral cavity

Kamel¹,

Haraz²,

Hanna³

2020

J. Appl. Math. Comput. Mech.

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In this paper, an incompressible, two-dimensional (2D), time-dependent, Newtonian, laminar, and internal channel fluid flow over a skewed equilateral cavity is simulated using the finite difference method (FDM) and alternating direction implicit (ADI) technique. Navier-Stokes equations are solved numerically in stream function-vorticity formulation. The goal of tackling this problem depends on its academic significance by studying the difference between lid-driven and shear-driven cavity flows in terms of the formation of Moffatt eddies at the sharp corner, also to obtain the length and intensity ratios of these counter-rotating vortices. The value of velocity components along the centerlines of the skewed cavity was revealed at low and intermediate Reynolds numbers (Re), typically (Re = 200 and 2000) at two different skew angles of mainly 30° and 45°. Likewise, the blocked-off regions' method is used to deal with the geometry of the skewed cavity especially the sharp corners. Furthermore, as Re increases, the main vortex approaches the skewed cavity center and the counter-rotating vortices get bigger in size and intensity, and their number increases.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of channel flow over a skewed equilateral cavity

Kamel¹,

Haraz²,

Hanna³

2020

J. Appl. Math. Comput. Mech.

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“…It is concluded that, on increasing Gr , the magnitude of local Nu on the surface of the moving lid increases while its value is quite higher in the area near the left corner. Krishna et al implemented a semistaggered arrangement and found that, on increasing Re and skewness of the cavity, the value of maximum stream function decreases. A 2D laminar steady‐state surface radiation and mixed convection phenomenon in a distinctly heated lid‐driven cavity are investigated by Balaji et al using a technique of combination of asymptotics and computational fluid dynamics.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of mixed convective heat transfer in a lid‐driven enclosure with rotating cylinders

Dalvi

Bali

Nayka

et al. 2019

Heat Trans. Asian Res.

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A numerical simulation is performed to characterize the mixed convective transport in a three‐dimensional square lid‐driven enclosure with two rotating cylinders. The top wall is moving in the positive x‐direction, and the bottom wall is at a higher fixed temperature compared with all other isothermal walls. Both cylinders are rotating in its own plane about their centroidal axis. On the basis of rotation of both cylinders in clockwise or counter‐clockwise directions, four rotational models are studied. Various controlling parameters considered in the present study are Grashof number (10 3 < Gr < 10 5), rotating speed of the cylinder (5 < ω < 50), and the Reynolds number based on top wall movement is fixed to 100. The effect of cylinder rotation on the heat transfer of bottom wall is reported with the help of streamlines, contour plots of z‐component of vorticity, averaged and local Nusselt number, ratios of secondary flow and drag coefficient. It is observed that the heat transfer at the bottom wall is substantially dependent on the rotational model and rotational speed of the cylinder.

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“…Roychowdhury et al made use of FVM with nonorthogonal collocated grid to solve incompressible N-S equations [20]. Krishna et al considered semi-staggered grid to analyze the lid driven flow through porous media in a skewed geometry [21]. Suri and Krishna developed a numerical code to analyze heat transport in complex solid geometries following FVM philosophy with non-orthogonal collocated grid [22].…”

Section: Introductionmentioning

confidence: 99%

Heatline Visualization for Thermal Transport in Complex Solid Domains with Discrete Heat Sources at the Bottom Wall

Tinnaluri¹,

Devanuri²

2019

IJHT

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The current work attempts to numerically investigate the thermal transport for twodimensional solid complex geometries with two discrete heat sources at the bottom wall. The computational grid has been developed in GAMBIT and then linked to the in-house code which is based on collocated grid based Finite Volume Method (FVM). In this study five different domains viz. square, trapezoidal, skewed, S-curve and H-curve have been considered and the thermal conductivity has been varied from 0.25 to 10 W/m K. A concept of Bejan's heatline visualization has been considered for the analysis of thermal transport. The heatlines along with isotherms are observed to provide a better insight for the understanding of thermal transport in considered complex geometries. With the domain thermal conductivity of 0.25 W/m K the maximum hot spot temperature is noted to be 443 K (square) and minimum of 436 K (S-curve). It is observed that with the increase in thermal conductivity from 0.25 to 10 W/m K, the maximum temperature in the domain decreased by 23.71 % for skewed and 20.77 % for S-curve geometries.

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Numerical study of lid‐driven flow in orthogonal and skewed porous cavity

Cited by 9 publications

References 16 publications

Numerical simulation of channel flow over a skewed equilateral cavity

Numerical simulation of channel flow over a skewed equilateral cavity

Numerical study of mixed convective heat transfer in a lid‐driven enclosure with rotating cylinders

Heatline Visualization for Thermal Transport in Complex Solid Domains with Discrete Heat Sources at the Bottom Wall

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