Laminar free convection in undulated cavity with non-uniform boundary conditions

Sabeur-Bendehina, Amina; Imine, Omar; Adjlout, Lahouari

doi:10.1016/j.crme.2010.11.001

Cited by 16 publications

(4 citation statements)

References 17 publications

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“…Oztop et al (2011) considered the impact of volumetric heat sources on flow structures inside a wavy-walled cavity. Sabeur-Bendehina et al (2011) studied the convection flow with non-uniform boundary conditions in an inclined wavy cavity. Dogonchi et al (2019b) investigated the nanofluid flow in parallel disks under the effects of several physical parameters.…”

Section: Introductionmentioning

confidence: 99%

Natural convection of a nanofluid-filled circular enclosure partially saturated with a porous medium using ISPH method

Aly

2020

HFF

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Purpose The purpose of this study is to simulate the natural convection of a heated square shape embedded in a circular enclosure filled with nanofluid using an incompressible smoothed particle hydrodynamics (ISPH) method. Design/methodology/approach In the ISPH method, the evaluated pressure was stabilized by using a modified source term in solving the pressure Poisson equation. The divergence of the velocity was corrected, and the dummy particles were used to treat the rigid boundary. Dummy wall particles were initially settled in outer layers of the circular enclosure for preventing particle penetration and reducing the error of truncated kernel. The circular enclosure was partially filled with a porous medium near to the outer region. The single-phase model was used for the nanofluid, and the Brinkman–Forchheimer-extended Darcy model was used for the porous medium. Dummy wall particles were initially settled in outer layers of circular enclosure for preventing particle penetration and reducing error from the truncated kernel on the boundary. Findings The length of the inner square shape plays an important role in enhancing the heat transfer and reducing the fluid flow inside a circular enclosure. The porous layer represents a resistance force for the fluid flow and heat transfer, and, consequently, the velocity field and temperature distributions are reduced at the outer region of the circular cylinder. Then, the radius of the inner square shape, Darcy parameter and radius of the porous layer were considered the main factors for controlling the fluid flow and heat transfer inside a circular enclosure. The average Nusselt number decreases as the inner square length, radius of the porous layer and solid volume fraction increase. Originality/value The stabilized ISPH method is corrected for simulating the natural convection from an inner hot square inside a nanofluid-filled circular enclosure saturated with a partial layer of a porous medium.

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Section: Introductionmentioning

confidence: 99%

Natural convection of a nanofluid-filled circular enclosure partially saturated with a porous medium using ISPH method

Aly

2020

HFF

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“…Therefore, knowledge about flow and heat transfer through wavy surfaces becomes important in this context. Solar collectors, condensers in refrigerators, cavity wall insulating systems, grain storage containers, industrial heat radiators, for example, are a few of many applications where wavy surfaces are encountered to transfer small or large scale heat [1,2]. The focus on the area of flow and heat transfer past wavy surfaces in complex enclosures like square, trapezoidal, and rectangular has been intensifying over the years due to the increasing interest of researchers from applied mathematics, mechanical, and chemical engineering as well as from biomechanics and engineering mechanics.…”

Section: Introductionmentioning

confidence: 99%

Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with a nanofluid: Buongiorno’s mathematical model

Sheremet

Pop

2017

THERM SCI

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In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in "stream function-temperature-concentration" formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (γ = 0-1), phase deviation (φ = 0-π), and undulation number (κ = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.

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“…Saha et al [9] solved the natural convection problem for sinusoidal and inclined corrugation geometry and different heat source sizes. Recently, Bendehina et al [10] reported a series of numerical simulations on laminar natural convection in inclined rectangular cavities with undulations and a sinusoidal temperature distribution on the cold wall. A thorough analysis conducted by Chin-Lung Chen et al [11] highlighted the effects of various shaped concave enclosures on convection heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Coupled radiation and natural convection within an inclined sinusoidal solar collector heated from below

Sadaoui

Sahi

Djerrada

et al. 2016

Mechanics & Industry

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The main objective of this article is to study the effect of coupled mode free convection with surface radiation on the fluid flow behavior inside a tilted solar collector having a flat glass cover and a wavy bottom absorber. The cavity is subject to vertical gradient temperature while its top sidewalls remain thermally insulated. The dimensionless governing equations under Boussinesq approximation are coupled with a radiative model through the boundary conditions and solved by the Finite Volume Method. The numerical results are discussed in terms of streamlines, isotherms, convective and radiative Nusselt number along the cover plate for various aspect ratios, inclination angle, emissivity and Rayleigh number. These results highlighted the condition of the enclosure performance and revealed that the heat and fluid flow fields are affected by surface radiation and the above parameters. In the end, correlations for predicating the convection heat loss in term of averaged Nusselt numbers are developed in both pure free convection and coupled convection-surface radiation modes.

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Laminar free convection in undulated cavity with non-uniform boundary conditions

Cited by 16 publications

References 17 publications

Natural convection of a nanofluid-filled circular enclosure partially saturated with a porous medium using ISPH method

Natural convection of a nanofluid-filled circular enclosure partially saturated with a porous medium using ISPH method

Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with a nanofluid: Buongiorno’s mathematical model

Coupled radiation and natural convection within an inclined sinusoidal solar collector heated from below

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