Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus

Badruddin, Irfan Anjum; Zainal, Zulkarnain; Khan, Zahid A.; Mallíck, Zulquernain

doi:10.1016/j.ijthermalsci.2006.05.005

Cited by 130 publications

(37 citation statements)

References 15 publications

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“…Natural convection in porous medium refers to a case where fluid gets heated due to temperature gradient at different points and moves to areas of lower temperature due to thermal buoyancy. Such studies have been reported for different geometrical and physical parameters of porous fluid combination Yunus Khan et al 2016;Badruddin et al 2007;Prasad et al 1984;Ahmed et al 2011;Zheng et al 2001;Nik-Ghazali. et al 2014).…”

Section: Introductionmentioning

confidence: 87%

Conjugate Double Diffusion in a Square Cavity Divided Into Two Sections

Ahammad¹,

Kamangar²

2017

Frontiers in Heat and Mass Transfer

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The current work discusses the heat and mass transfer due to a solid wall dividing the porous medium into two distinct sections. The left vertical surface of cavity is maintained at constant temperature Th and concentration Ch whereas right vertical surface is kept at isothermal temperature Tc and iso-concentration Cc such that Th>Tc and Ch>Cc. Finite element method is used to solve the governing partial differential equations. The results discussed with respect to thermal conductivity ratio, solid width, buoyancy ratio, Lewis number etc.

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Section: Introductionmentioning

confidence: 87%

Conjugate Double Diffusion in a Square Cavity Divided Into Two Sections

Ahammad¹,

Kamangar²

2017

Frontiers in Heat and Mass Transfer

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“…In the scientific literature, steady-state natural convection in vertical porous annuli has been widely investigated; in particular, experimental data-sets have been provided by Reda [3] and Prasad et al [4][5] whereas numerical studies based on the assumption of the Darcy model have been presented in ref. [6][7][8][9][10][11][12]. Among them, notable are the works of Badruddin et al [10][11][12], which analyze the influence of the thermal radiation on the steady free convection in fully porous vertical annuli, taking into account viscous effects [10] and adopting a non-local thermal equilibrium model [12].…”

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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“…The concept of convective heat transfer and fluid flow analysis for different geometries has been presented by many researchers over the last few years . The emphasis on the study of natural convection [6][7][8][9][10][11][12][13][14][15][16][17][18], combined radiation and natural convection [19], conjugate heat transfer [20][21][22], and the thermal nonequilibrium approach to investigating heat transfer and fluid flow behavior [23][24][25][26][27] have been reported. In addition to the above, heat and mass transfer [28][29] and heat transfer in square cavities are also discussed in detail [30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

“…Viscous dissipation is an interesting phenomenon that arises due to friction between the moving fluid and the solid matrix of the porous medium. The viscous dissipation is known to decrease the heat transfer rate at the hot surface of a porous medium [16][17]43]. The thermal-diffusion effect, which is known as the Soret effect, is an important factor that can significantly affect the flow field, especially in combined heat and mass transfer analyses.…”

Section: Introductionmentioning

confidence: 99%

Double Diffusive Convection and the Improvement of Flow in Square Porous Annulus

Ali¹,

Al‐Rashed²,

Alnaqi³

2017

IJERA

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There has been increased interest shown in recent years to investigate the behavior of heat and mass transfer in a square annulus with a porous medium fixed between the inner and outer walls. This paper aims to evaluate the Soret effect arising in the case of heat and mass transfer in a porous medium bounded by a square annulus and subjected to isothermal heating of the inner surfaces as well as the outer horizontal surfaces. The phenomenon is governed by 3 partial differential equations, the momentum, energy and concentration equations, that are coupled together and result in a situation where change in one variable affects the other equations and vice versa. The partial differential equations are converted into finite element equations with the help of the Galerkin method and then solved to predict solution variables such as temperature, stream function and concentration in the porous medium. It is found that the heat transfer rate at the hot wall decreases with increasing viscous dissipation effect in the porous medium.

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Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus

Cited by 130 publications

References 15 publications

Conjugate Double Diffusion in a Square Cavity Divided Into Two Sections

Conjugate Double Diffusion in a Square Cavity Divided Into Two Sections

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

Double Diffusive Convection and the Improvement of Flow in Square Porous Annulus

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