Numerical Study of Natural Convection in a Vertical Cylindrical Annulus Using a Non-Darcy Equation

Prasanna, B. M. R.; Venkatachalappa, M.

doi:10.1615/jpormedia.v5.i2.20

Cited by 4 publications

(2 citation statements)

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“…These studies spanned over different porous media models and covered a vast range of radius and aspect ratios and other physical parameters and proposed thermal transport correlations. Shivakumara et al (2002) executed a theoretical analysis of buoyance convection in a porous annular space. Sankar and co-workers , Sankar et al (2013) performed numerical predictions on the buoyant stream and thermal transfer characteristics from discrete heating in square and annular configurations packed with a fluid-saturated porous material.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on conjugate convective thermal transport in an annular porous geometry

Kiran¹,

Sankar

Sivasankaran

2021

KJS publishes peer-review articles in Mathematics, Computer Sci

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Buoyancy-driven convection in an annular space between two upright concentric cylinders having finite thickness of inner/outer cylinder is an essential physical structure exposing several practical applications. The current article reports the coupled conduction-convection transfer in an upright porous annular space and the buoyant convective stream and thermal transfer, associated thermal transport rates has been numerically investigated. In this analysis, the inner cylinder has fixed width and maintained at uniform high temperature, while the outer cylinder wall is preserved at uniform lower temperature. However, the lower & upper boundaries of annular region are presumed to be sealed and insulated. The Brinkman-extended Darcy formulation is implemented for modeling the stream in the porous medium. An implicit finite difference technique based on SLOR & ADI methods is adopted to resolve the governing equations. From the numerical predictions, it has been detected that the conductivity ratio & wall thickness has crucial role in controlling thermal transport through the annular space. The present work will have applications in electronic equipment, electric machinery, solar collectors, and lubrication systems.

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Section: Introductionmentioning

confidence: 99%

Numerical study on conjugate convective thermal transport in an annular porous geometry

Kiran¹,

Sankar

Sivasankaran

2021

KJS publishes peer-review articles in Mathematics, Computer Sci

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“…In particular, a Brinkman-extended model has been presented in ref. [14][15][16], the only Forchheimer term is introduced in [17] whereas both terms are taken into account by Marpu [18].…”

Section: Introductionmentioning

confidence: 99%

Influence of one porous layer insert on the transient heat transfer in a tall annulus in presence of large source terms

Arpino¹,

Ciccolella²,

Cortellessa³

et al. 2017

IJHT

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This paper provides a sensitivity analysis on the influence of one porous layer insert on the transient behavior of natural convection in a tall annular enclosure in presence of large source terms. The porous medium which partially fills the cavity is characterized by a low value of the Darcy number, typical of insulating materials and metallic foams, often employed in heat exchangers and other engineering applications. A stabilized, fully explicit version of the Compressibility Based Scheme is here employed and validated against experimental data available in the scientific literature for steady and unsteady convection in vertical cylindrical enclosures. Several analyses are presented here by changing both the geometrical features of the cavity and the properties of the porous domain. The results of these analyses demonstrate that not only the thermo-physical properties of the porous medium but also the position and the thickness of the porous layer strongly affect the transient behavior of the convective phenomena occurring in the cavity.

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On the thermal flow through a porous annular region

Marušić-Paloka,

Pažanin

2024

J Eng Math

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Numerical Study of Natural Convection in a Vertical Cylindrical Annulus Using a Non-Darcy Equation

Cited by 4 publications

References 0 publications

Numerical study on conjugate convective thermal transport in an annular porous geometry

Numerical study on conjugate convective thermal transport in an annular porous geometry

Influence of one porous layer insert on the transient heat transfer in a tall annulus in presence of large source terms

On the thermal flow through a porous annular region

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