Conjugate natural convection in a porous enclosure: effect of conduction in one of the vertical walls

Saeid, Nawaf H.

doi:10.1016/j.ijthermalsci.2006.08.003

Cited by 73 publications

(58 citation statements)

References 21 publications

(25 reference statements)

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“…When Kr > 0.1, the Nu f becomes an increasing function of Ra. This behavior has been noticed by many researchers [22,25,26]. The effect of Kr on Nu f ( Figure 9) and on the strength of the vortex jW max j (Figure 10) are tested for various D values.…”

Section: Conjugate Heat Transfer In a Porous Cavity 153supporting

confidence: 70%

“…An inclined solid wall with respect to the porous medium was not exactly found in the literature. However, the comparison was made by resolving, using the present code, three different cases, namely, conjugate Darcy-Bénard convection (Saleh et al [25]), conjugate horizontally heating (Saied [22]), and nominal convection, i.e., zero wall thickness (Baytas and Pop [27]). The results are documented in Table 1, and it is obvious that good agreement is obtained knowing that different numerical techniques were followed in these three different works.…”

Section: Conjugate Heat Transfer In a Porous Cavity 149mentioning

confidence: 99%

“…They showed that the thickness of the finite plate and the conductivity ratio both play an important role in the heat transfer process in the boundary layer. Saeid [22] studied conjugate natural convection-conduction heat transfer in a horizontally heated porous enclosure with a finite wall thickness. In most cases, he found that either increasing the Rayleigh number or decreasing the thickness of the vertical boundary wall can increase the average Nusselt number of the porous enclosure.…”

Section: Introductionmentioning

confidence: 99%

“…They found that the critical Rayleigh number of the buoyancy-driven onset approached the well known Lapwood value (4p 2 ). Al-Amiri et al [24] extended the problem of references [22] by assuming the Forchheimer-Brinkman extended Darcy model. They established a correlation for the average Nusselt number for a wide range of dimensionless parameters.…”

Section: Introductionmentioning

confidence: 99%

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Conjugate Heat Transfer in a Porous Cavity Heated by a Triangular Thick Wall

Chamkha

Ismael

2013

Numerical Heat Transfer, Part A: Applications

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The conjugate natural convection-conduction heat transfer in a square domain composed of a cavity heated by a triangular solid wall is studied under steady state condition. The vertical and horizontal walls of the triangular solid are kept isothermal and at the same hot temperature T h . The other boundaries surrounding the porous cavity are kept adiabatic except the right vertical wall, where it is kept isothermally at the lower temperature T c . Equations governing the heat transfer in the triangular wall and heat and fluid flow, based on the Darcy model, in the fluid-saturated porous medium together with the derived relation of the interface temperature are solved numerically using the second order central differences finite difference scheme with the successive over relaxation (SOR) method. The investigated parameters are the Rayleigh number Ra (100-1000), solid to fluid saturated porous medium thermal conductivity ratio Kr (0.1-10), and the triangular wall thickness D (0.05-1). The results are presented in the conventional form; contours of streamlines and isotherms and the local and average Nusselt numbers. An uncommon behavior of the heat transfer in the porous medium with the triangular wall thickness D is observed and accounted.

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Section: Conjugate Heat Transfer In a Porous Cavity 153supporting

confidence: 70%

Section: Conjugate Heat Transfer In a Porous Cavity 149mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conjugate Heat Transfer in a Porous Cavity Heated by a Triangular Thick Wall

Chamkha

Ismael

2013

Numerical Heat Transfer, Part A: Applications

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“…Such phenomenon requires an additional equation to be considered for solid region with adequate boundary conditions that links the temperature at porous and solid region (Azeem et al 2016;Ahmed et al 2014;Badruddin et al 2015;Sakakibara et al 1987;Saeid, 2007;Abdallah Al-Amiri et al 2008;Inna et al 2010;Pop et al 2000;Ahmet Kaya et al 2011;Higuera and Pop, 1997). The conjugate heat transfer in porous medium is generally studied with respect to single diffusion or just heat transfer.…”

Section: Introductionmentioning

confidence: 99%

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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Conjugate local thermal nonequilibrium and non‐Darcy flow inside porous enclosure: Analysis of localized heating and cooling arrangements

Basher

Yousif

2023

Heat Trans

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This study covers a simulation on conjugate free convective in a porous enclosure containing a side wall thickness and partially heated and cooled from sides under the considerations of local thermal nonequilibrium (LTNE) and non‐Darcy flow. Interest has been focused on how the side wall thickness and the locations of cooled and heated parts affect the effectiveness of the Nusselt number (Nu). Three different cases of localized heating and cooling locations have been implemented for the following ranges: scaled heat transfer coefficient (), wall to fluid thermal conductivity ratio (), modified Rayleigh number (), wall width (), inertial parameter (), and thermal conductivity ratio (). Outcomes show that and the locations of cooled and heated parts have remarkable impacts on all the Nusselt numbers. The intensity of LTNE region considerably relies on , and . The total average NuT is highly dependent on , , , , and as compared to H. The increase in leads to change of the convective mechanism to conductive mode. The rise in guides to increase Nu, where can control the flow strength. The actions of on Nuf is more evident than Nus. For low H and Kr, the size of LTNE zone is considerably affected by H as compared to Kr although Kr has a high influence on Nu. For high Kr and H, the LTNE zone has closely vanished. Findings display that the Case 2 provided the highest Nu for all tested parameters except the case of . Finally, it is evident that for the problems that employed solid conduction wall with localized heating and cooling sections, Case 2 is recommended for future use in the applications that implement a porous medium and depend on free convection.

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Conjugate natural convection in a porous enclosure: effect of conduction in one of the vertical walls

Cited by 73 publications

References 21 publications

Conjugate Heat Transfer in a Porous Cavity Heated by a Triangular Thick Wall

Conjugate Heat Transfer in a Porous Cavity Heated by a Triangular Thick Wall

Conjugate Double Diffusion in a Square Cavity Divided Into Two Sections

Conjugate local thermal nonequilibrium and non‐Darcy flow inside porous enclosure: Analysis of localized heating and cooling arrangements

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