Laminar natural convection from a heated square cylinder immersed in power-law liquids

Sasmal, C.; Chhabra, R.P.

doi:10.1016/j.jnnfm.2011.04.013

Cited by 61 publications

(20 citation statements)

References 47 publications

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“…Therefore, in view of the aforementioned factors, the degree of correspondence between the present numerical and available experimental results seen in Tables 4 and 5 is regarded to be satisfactory. Based on the preceding comparisons in conjunction with our previous experience [24][25][26][27][28], the present numerical results on Table 1 Comparison of the present total drag (C D ) and pressure drag values (C DP ) with that of Jia and Gogos [41] and Prhashanna and Chhabra [29] in Newtonian fluids for a sphere free convection heat transfer from a hemisphere submerged in powerlaw fluids are believed to be reliable to within 2-3%.…”

Section: A Validation Of Resultsmentioning

confidence: 57%

“…Much has been written about the impact of the computational domain and mesh, convergence criterion, etc., in our recent studies [24][25][26][27][28], so once again these aspects in the context of the present problem are discussed only briefly. To arrive at an optimal size of the fictitious sphere, the value of (D ∞ ∕D) was systematically varied as 800, 1000, and 1400 for both orientations of the hemisphere.…”

Section: B Choice Of Computational Parametersmentioning

confidence: 88%

“…A detailed discussion about the numerical solution methodology used here is available in our recent studies [24][25][26][27][28][29], so only the salient features are recapitulated here. Suffice it to say that the governing field equations [Eqs.…”

Section: A Numerical Solution Detailsmentioning

confidence: 99%

“…To account for the modulating influence of the power-law index, a composite parameter, Ω, which may be seen as the modified Rayleigh number for power-law fluids, was introduced by Acrivos [42]. It has been used extensively in the literature [24][25][26][27][28], and it is defined as follows:…”

Section: Average Nusselt Numbermentioning

confidence: 99%

“…The bulk of this information has been reviewed recently [20]. Qualitatively similar but varying levels of enhancement in heat transfer are also observed in the mixed-and free-convection regimes for two-dimensional objects [21][22][23][24][25][26][27][28] and for a sphere [29,30]. In recent years, extensive results on free convection in power-law fluids from variously shaped two-dimensional bodies have been reported [21][22][23][24][25][26][27][28], but the analogous body of information for three-dimensional objects like spheres, spheroids, and hemispheres is virtually nonexistent except for the recent studies of Prhashanna and Chhabra [29] on free convection and of Nirmalkar and Chhabra [30] on mixed convection from a sphere in power-law media.…”

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confidence: 92%

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Laminar Free Convection in Power-Law Fluids from a Heated Hemisphere

Sasmal

Chhabra

2014

Journal of Thermophysics and Heat Transfer

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Extensive results are presented on the laminar free convection heat transfer in power-law fluids from a heated hemisphere in two orientations, namely, its flat base oriented upward (inverted) or downward (upright). The coupled field equations have been numerically solved over wide ranges of conditions as follows: Grashof number (10 ≤ Gr ≤ 10 5 ), Prandtl number (0.72 ≤ Pr ≤ 100) and power-law index (0.3 ≤ n ≤ 1.5). Detailed flow and temperature fields are visualized in terms of the streamline and isotherm contours, respectively. At the next level, the results are analyzed in terms of the total drag coefficient and local Nusselt number variation along the surface of the hemisphere, together with its surface averaged value. The average Nusselt number increases with both the Grashof and Prandtl numbers. Furthermore, for fixed values of the Grashof and Prandtl numbers, and for a given orientation, shear-thinning behavior (n < 1) enhances the rate of heat transfer whereas shear-thickening (n > 1) impedes it with reference to that in Newtonian fluids, especially when there is a reasonable degree of advection. Finally, the present numerical results of drag coefficient and Nusselt number have been correlated using a general composite parameter, which is essentially a modified Rayleigh number. The use of such a Rayleigh number also emphasizes the varying nature of dependence of the average Nusselt number on the Grashof and Prandtl numbers governed by the type of fluid behavior, i.e., shear-thinning (n < 1) or shear-thickening (n > 1). Nomenclatureof the hemisphere, m D ∞ = diameter of the outer domain, m F D = total drag force, N F DF = frictional component of drag force, N F DP = pressure component of drag force, N Gr= Grashof number, dimensionless g = acceleration due to gravity, m · s −2 h = heat transfer coefficient, W · m −2 · K −1 I 2 = second invariant of the rate of the strain tensor, s −2 k = thermal conductivity of fluid, W · m −1 · K −1 m = power-law consistency index, Pa · s n n = power-law index, dimensionless n s = unit normal vector Nu = average Nusselt number, dimensionless Nu l = local Nusselt number, dimensionless P = pressure, dimensionless Pr = Prandtl number, dimensionless R = radius of hemisphere, m Ra = Rayleigh number GrPr, dimensionless S = surface area, m 2 T = temperature of fluid, dimensionless T w = hemisphere surface temperature, K T ∞ = ambient fluid temperature, K ΔT = temperature difference T w − T ∞ , K U = velocity vector, ms −1 U c = characteristic or reference velocity, m · s −1 X, Y = Cartesian coordinates, dimensionless β = coefficient of volume expansion, K −1 ε = components of the rate of the strain tensor, s −1 η = viscosity, Pa · s θ = nondimensional temperature, dimensionless ρ = density of the fluid, kg · m −3 τ = extra stress tensor, Pa

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Section: A Validation Of Resultsmentioning

confidence: 57%

Section: B Choice Of Computational Parametersmentioning

confidence: 88%

Section: A Numerical Solution Detailsmentioning

confidence: 99%

Section: Average Nusselt Numbermentioning

confidence: 99%

mentioning

confidence: 92%

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Laminar Free Convection in Power-Law Fluids from a Heated Hemisphere

Sasmal

Chhabra

2014

Journal of Thermophysics and Heat Transfer

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Complex fluid flow in annular space under the effects of mixed convection and rotating wall of the outer enclosure

Laidoudi

Ameur

2022

Heat Trans

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This study aims to investigate the roles of pertinent parameters on the mixed convection of complex liquids in annular devices. The investigated area consists of two circular cylinders with fixed and heat walls. Both cylinders are enclosed within a circular room with a cold wall and rotate regularly. The zone between the inner obstacles and the outer space contains complex power-law fluids. This investigation is numerically achieved by How to cite this article: Laidoudi H, Ameur H. Complex fluid flow in annular space under the effects of mixed convection and rotating wall of the outer enclosure.

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Natural convection in power-law fluids from two square cylinders in tandem arrangement at moderate Grashof numbers

Shyam

Chhabra

2013

Heat Mass Transfer

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Laminar natural convection from a heated square cylinder immersed in power-law liquids

Cited by 61 publications

References 47 publications

Laminar Free Convection in Power-Law Fluids from a Heated Hemisphere

Laminar Free Convection in Power-Law Fluids from a Heated Hemisphere

Complex fluid flow in annular space under the effects of mixed convection and rotating wall of the outer enclosure

Natural convection in power-law fluids from two square cylinders in tandem arrangement at moderate Grashof numbers

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