Numerical study of natural convection in a tilted rectangular porous material

Moya, Sara L.; Ramos, Eduardo; Sen, Mihir

doi:10.1016/0017-9310(87)90204-3

Cited by 160 publications

(71 citation statements)

References 22 publications

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“…The present models, in the form of an in-house computational fluid dynamics code, have been validated successfully against the works of Walker and Homsy (1978), Bejan (1979), Beckermann et al (1986), Gross et al (1986), Moya et al (1987), Manole and Lage (1992), and Baytas and Pop (1999) for the steady-state natural convection in a square porous cavity with isothermal vertical and adiabatic horizontal walls. Table 1 shows the values of the average Nusselt number computed for various Rayleigh numbers in the range of 10-10 4 in comparison with other authors.…”

Section: Methodsmentioning

confidence: 97%

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Natural Convection in a Square Porous Cavity with Sinusoidal Temperature Distributions on Both Side Walls Filled with a Nanofluid: Buongiorno’s Mathematical Model

2014

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Natural convection in a two-dimensional, square porous cavity filled with a nanofluid and with sinusoidal temperature distributions on both side walls and adiabatic conditions on the upper and lower walls is numerically investigated. The flow is assumed to be slow so that advective and Forchheimer quadratic terms are ignored in the momentum equation. The applied sinusoidal temperature is symmetric with respect to the midplane of the enclosure. Numerical calculations are produced for Rayleigh numbers in the range of 10-10 4 in comparison with other authors. The present models, in the form of an in-house computational fluid dynamics code, have been validated successfully against the reported results from the open literature. It is found that the results are in very good agreement. Results are presented in the form of streamlines, isotherm contours, and distributions of the average Nusselt number.

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Section: Methodsmentioning

confidence: 97%

“…(17) and (18) reduce to those of Walker and Homsy (1978), Bejan (1979), Beckermann et al (1986), Gross et al (1986), Moya et al (1987), Manole and Lage (1992), and Baytas and Pop (1999).…”

Section: Basic Equationsmentioning

confidence: 99%

Natural Convection in a Square Porous Cavity with Sinusoidal Temperature Distributions on Both Side Walls Filled with a Nanofluid: Buongiorno’s Mathematical Model

2014

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“…Bejan [20], Beckerman et al [21], Moya et al [22]; Manole and Lage [23], Baytas and Pop [9] for the steady state natural convection in a square porous cavity with isothermal vertical and adiabatic horizontal walls. Table 1 shows the values of the average Nusselt number computed for various Rayleigh numbers in the range 3 10 10 − in comparison with other authors.…”

mentioning

confidence: 99%

Numerical Study of 2-D Natural Convection in a Square Porous Cavity: Effect of Three Mode Heating

Malomar¹,

Mbow²,

Tall³

et al. 2017

OJFD

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The work we present in this paper is a continuation of a series of studies on the numerical study of natural convection in a square porous cavity saturated by a Newtonian fluid. The left vertical wall is subjected to a temperature varying sinusoidally in time while the right vertical wall is either at a constant temperature, or varying sinusoidally in time. The upper and lower horizontal walls are thermally adiabatic. Darcy model is used, it is also assumed the fluid studied is incompressible and obeys the Boussinesq approximation. The focus is on the effect of the modulation frequency ( 10 100 ω ≤ ≤ ) on the structure of the flow and transfer thermal. The results show that the extremal stream functions ( max ψ et min ψ ), the average Nusselt number at the hot ( h T ) and cold ( c T ) walls respectively Nuh and Nuc are periodic in the range of parameters considered in this study. In comparison with the constant heating conditions, it is found that the variable heating causes the appearance of secondary flow, whose amplification depends on the frequency of modulation of the imposed temperature but also of the heating mode. The results are shown in terms of streamlines and isotherms during a flow cycle.

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“…Average Nusselt number is calculated for three different Rayleigh numbers (Ra=10, 100, and 1000) and compared with the available published works [10][11][12][13][14]. This comparison is shown in Table 1.…”

Section: Resultsmentioning

confidence: 99%

“…Accordingly, Be=1 is the limit at which the heat transfer irreversibility dominates, Be=0 is the opposite limit at which the irreversibility is dominated by fluid friction effects, and Be=1/2 is the case in which the heat transfer and fluid friction entropy generation rates are equal. --------3.10 12.96 Gross et al [12] --------3.14 13.45 Manole and Lage [13] --------3.12 13.64 Moya et al [14] 1.065 2.80 -------Present prediction 1.079 3.14 13.82…”

Section: Entropy Generationmentioning

confidence: 99%

Vibrational Effect on Entropy Generation in a Square Porous Cavity

Mahmud

Fraser

2003

Entropy

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Abstract:We investigate the nature of entropy generation for natural convection in a twodimensional square section enclosure vibrating sinusoidally perpendicular to the applied temperature gradient in a zero-gravity field. The enclosure is assumed to fill with porous media. The Darcy momentum equation is used to model the porous media. The full governing differential equations are simplified with the Boussinesq approximation and solved by a finite volume method. Whereas the Prandtl number Pr is fixed to 1.0. Results are presented in terms of average Nusselt number (Nu av ), entropy generation number (Ns av ), Bejan number (Be av ), and kinetic energy (KE av ).

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Numerical study of natural convection in a tilted rectangular porous material

Cited by 160 publications

References 22 publications

Natural Convection in a Square Porous Cavity with Sinusoidal Temperature Distributions on Both Side Walls Filled with a Nanofluid: Buongiorno’s Mathematical Model

Natural Convection in a Square Porous Cavity with Sinusoidal Temperature Distributions on Both Side Walls Filled with a Nanofluid: Buongiorno’s Mathematical Model

Numerical Study of 2-D Natural Convection in a Square Porous Cavity: Effect of Three Mode Heating

Vibrational Effect on Entropy Generation in a Square Porous Cavity

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