Flow and heat transfer across a confined square cylinder in the steady flow regime: Effect of Peclet number

Dhiman, Amit; Chhabra, R.P.; Eswaran, V.

doi:10.1016/j.ijheatmasstransfer.2005.04.033

Cited by 116 publications

(102 citation statements)

References 25 publications

(48 reference statements)

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“…The details of the grid and the solution methodology used in this study can be found elsewhere (Dhiman et al, 2005(Dhiman et al, , 2006(Dhiman et al, , 2008a. The computational grid structure used here is generated by using MATLAB.…”

Section: Numerical Detailsmentioning

confidence: 99%

“…An algebraic expression has been used to generate the mesh in the region of 0.25 b away from the cylinder and the channel walls in the y-direction (Hoffmann, 1989). The identical computational grid structure is used here for the two blockage ratios as reported elsewhere (Dhiman et al, 2005(Dhiman et al, , 2008a.…”

Section: Numerical Detailsmentioning

confidence: 99%

“…In this work, an in-house semi-explicit finite volume method implemented on the collocated grid arrangement has been used to solve the governing equations, along with the appropriate boundary conditions in which momentum equations are discretized in an explicit manner, whereas the pressure gradient terms are treated implicitly (Dhiman et al, 2005(Dhiman et al, , 2006(Dhiman et al, , 2008aSharma and Eswaran, 2003).…”

Section: Numerical Detailsmentioning

confidence: 99%

See 2 more Smart Citations

Wall effects on the cross-buoyancy around a square cylinder in the steady regime

Dhiman¹,

Sharma²,

Kumar³

2012

Braz. J. Chem. Eng.

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-The effects of blockage ratio on the combined free and forced convection from a long heated square obstacle confined in a horizontal channel are investigated in this work. The numerical computations are performed in the steady regime for Reynolds number = 1 -30, Richardson number = 0 -1 for blockage ratios of 0.125 and 0.25 for the fixed Prandtl number of 0.7 (air). The governing equations, along with appropriate boundary conditions, are solved by using a semi-explicit finite volume method implemented on the collocated grid arrangement. The total drag and lift coefficients, local and average Nusselt numbers and the representative streamline, vorticity and isotherm patterns are presented to elucidate the role of blockage ratio on the cross-buoyancy across a confined square cylinder. The asymmetry in the flow and temperature fields decreases with increasing value of the blockage ratio. Similar to forced convection, the total drag coefficient increases with increasing value of the blockage ratio for the fixed values of the Reynolds and Richardson numbers.

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Section: Numerical Detailsmentioning

confidence: 99%

Section: Numerical Detailsmentioning

confidence: 99%

Section: Numerical Detailsmentioning

confidence: 99%

See 1 more Smart Citation

Wall effects on the cross-buoyancy around a square cylinder in the steady regime

Dhiman¹,

Sharma²,

Kumar³

2012

Braz. J. Chem. Eng.

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“…Based on a combination of numerical, theoretical and experimental studies, different flow regimes for the square cylinder have been identified in the literature depending upon the value of the Reynolds number and Prandtl number (A. Sohankar, 1995;Bhattacharyya and Mahapatra, 2005;Breuer, Bernsdorf, Zeiser, and Durst, 2000;Dhiman, Chhabra, and Eswaran, 2005;Dhiman, Chhabra, Sharma, and Eswaran, 2006;Gupta, Sharma, Chhabra, and Eswaran, 2003;Ji, Kim, and Hyun, 2008;Rahnama and Hadi-Moghaddam, 2005;Sahu, Chhabra, and Eswaran, 2009;Eswaran, 2004a, 2004b;Sheard, Fitzgerald, and Ryan, 2009;Sohankar, Norberg, and Davidson, 1998;Wei-Bin, Neng-Chao, Bao-Chang, and ZhaoLi, 2003). The main flow regimes reported to date are: a creeping flow region in which no flow separation takes place at the surface of the cylinder (Re≤1).…”

Section: Introductionmentioning

confidence: 99%

“…The effect of the Prandtl number on the heat transfer from unconfined and confined square cylinders has been also studied (Dhiman et al, 2005;Dhiman et al, 2006;Gupta et al, 2003); but are limited to the steady flow regime (Re up to 40). A numerical study of the effects of the Reynolds and Prandtl numbers on the rate of heat transfer from a square cylinder for the range of conditions Re 60 to 160 and Pr 0.7 to 50 has been studied (Sahu et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis and Prediction of Unsteady Forced Convection over a Sharp and Rounded Edged Square Cylinder

Dey¹,

Das²

2016

JAFM

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An unsteady two-dimensional forced convection over a square cylinder with sharp and rounded corner edge is numerically analyzed for the low Reynolds number laminar flow regime. In this study, the analysis is carried out for Reynolds number (Re) in the range of 80 to 180 with Prandtl number (Pr) variation from 0.01 to 1000 for various corner radius (r=0.50, 0.51, 0.54, 0.59, 0.64 and 0.71). The lateral sides of the computational domain are kept constant to maintain the blockage as 5%. Heat transfer due to unsteady forced convection has been predicted by Artificial Neural network (ANN). The present ANN is trained by the input and output data which has been acquired from the numerical simulation, performed in finite volume based Computational Fluid Dynamics (CFD) commercial software FLUENT. The heat transfer characteristics over the sharp and rounded corner square cylinder are evaluated by analyzing the local Nusselt number (Nu local ), average Nusselt number (Nu avg ) at various Reynolds number, Prandtl numbers and for various corner radii. It is found that the heat transfer rate of a circular cylinder can be enhanced by 12% when Re is varying and 14% when Prandtl number is varying by introducing a new cylinder geometry of corner radius r=0.51. It is found that the unsteady forced convection heat transfer over a cylinder can be predicted appropriately by ANN. It is also observed that the back propagation ANN can predict the heat transfer characteristics of forced convection very quickly compared to a standard CFD method.

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Influence of Planar Confinement on Momentum and Heat Transfer from a Blunt‐Headed Cylinder to Generalized Newtonian Fluids

Kaur,

Chandra,

Arya

et al. 2023

Chem Eng & Technol

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This study investigated the momentum and thermal characteristics of a blunt‐headed cylinder immersed in a stream of generalized Newtonian fluids (i.e., power‐law fluids) under various planar confinements. The flow and heat transfer characteristics were obtained by solving the constitutive equations with a finite‐element‐based solver for varying ranges of governing parameters. Reynolds number (Re = 1–40), Prandtl number (Pr = 5–100), power‐law index (n = 0.3–1.8), and blockage ratios (β = 2–40) were considered as the governing parameters for the study. Streamlines, drag coefficients, isotherm contours, and average Nusselt numbers were obtained as output parameters of the study. The local distribution of the pressure coefficient and Nusselt number are also presented to gain deep insight into the vicinity of the blunt‐headed cylinder. Shear‐thickening and shear‐thinning fluids exhibited an inverse trend for flow separation under planar confinements. The average Nusselt number exhibits a positive correlation with the Reynolds and Prandtl numbers while showing negative dependence on the power‐law index and blockage ratio. Overall, momentum and heat transfer show complex relationships with the governing parameters. The functional relationships are shown as correlations for flow‐separation Reynolds number, total drag force, and average Nusselt number on relevant dimensionless parameters for general applications.

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Flow and heat transfer across a confined square cylinder in the steady flow regime: Effect of Peclet number

Cited by 116 publications

References 25 publications

Wall effects on the cross-buoyancy around a square cylinder in the steady regime

Wall effects on the cross-buoyancy around a square cylinder in the steady regime

Numerical Analysis and Prediction of Unsteady Forced Convection over a Sharp and Rounded Edged Square Cylinder

Influence of Planar Confinement on Momentum and Heat Transfer from a Blunt‐Headed Cylinder to Generalized Newtonian Fluids

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