Natural convection and flow simulation in differentially heated isosceles triangular enclosures filled with porous medium

Basak, Tanmay; Roy, S.; Babu, S.

doi:10.1016/j.ces.2008.03.038

Cited by 26 publications

(10 citation statements)

References 36 publications

(39 reference statements)

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“…He examined the influence of different flow parameters including Hartman number Ha (0 Յ Ha Յ 80), Raleigh number Ra (10 4 Յ Ra Յ 10 7 ) and solid volume fraction (0 Յ Յ 0.15). Basak et al (2008) investigated the effects of uniform/nonuniform heating on natural convective flow in an isosceles triangular cavity filled with porous medium and discussed results for a wide range of flow parameters including Darcy number Da (10 Ϫ5 Յ Da Յ 10 Ϫ3 ), Raleigh number Ra (10 3 Յ Ra Յ 10 6 ) and Prandtl number Pr (0.026 Յ Pr Յ 1000). The effects of HFF 27,2 transverse magnetic field on buoyancy-driven convective flow through a rectangular enclosure are reported by Garandet et al (1992).…”

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confidence: 99%

Effects of uniform magnetic field on the natural convection of Cu–water nanofluid in a triangular cavity

Javed

Mehmood

Siddiqui

et al. 2017

HFF

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Purpose The purpose of this paper is to perform a numerical study for heat transfer through natural convection in the presence of a constant magnetic field in an incompressible steady nanofluid flow inside an isosceles triangular cavity. Design/methodology/approach For this flow problem, the left wall of the cavity subjected to uniform/nonuniform heat was considered, while right and bottom walls of the cavity were kept cold. The obtained equations were solved by using the Galerkin weighted residual technique. Results are computed for a wide range of parameters including Rayleigh number (Ra) (10^3 < Ra < 10^7), Hartman number (Ha) (0 < Ha < 60), and heat-generation/-absorption coefficient (q) (−10 < q < 10), while, Prandtl number (Pr) was kept fixed at 6.2. These computed results are presented in terms of stream functions, isotherms, Nusselt numbers and average Nusselt numbers through figures. Findings It is observed that, in case of uniform heating of the side wall, the strength of stream lines’ circulations increases with an increase in Ra and decreases with an increase in Ha. Similarly, by increasing heat-absorption coefficient q, an increase in the circulation strength is noted and the circulation cell moves towards the left wall in the presence of a heat sink (q < 0) and moves to the cold right wall in the presence of a heat source (q > 0). In the case of nonuniformly heated left wall in the presence of a heat source (q > 0), a higher-temperature gradient is observed in the cavity and isotherms are clustered to the left wall in the lower portion and to right wall in the upper portion; these appear to be straight and parallel to the x-axis near the bottom wall. On the other hand, the heat transfer rate along all the walls of the cavity is observed to be higher for smaller values of q. Whereas, Nusselt number along the bottom wall (Nu-B) increases with an increase in the values of x, while, that along the left wall (Nu-L) first increases and then decreases. But Nusselt number along the right wall (Nu-R) is found to be qualitatively opposite to Nu-L with an increase in distance x. Whereas, average Nusselt number increases with an increase in Rayleigh number Ra and heat-generation/-absorption coefficient q. Research limitations/implications The problem is formulated for an incompressible flow; viscous dissipation has been neglected, negligible induced magnetic field has been considered and local thermal equilibrium has been considered. Originality/value Results presented in this paper are original and new for the effects of a uniform magnetic field on the natural convection of Cu–water nanofluid in a triangular cavity. Hence, this study is important for researchers working in the area of heat transfer in cavity flows involving the nanofluid to become familiar with the flow behavior and properties.

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confidence: 99%

Effects of uniform magnetic field on the natural convection of Cu–water nanofluid in a triangular cavity

Javed

Mehmood

Siddiqui

et al. 2017

HFF

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“…More applications and good understanding of this subject is given in the recent articles by Basak et al (2008aBasak et al ( , b, 2010a, Oztop et al (2008), Varol et al (2008a, b, c, 2009a, Varol and Oztop (2009), and Varol et al (2006, 2007a. The mean objective of this paper is to study the effect of various boundary conditions on double diffusive convection inside inclined porous triangular cavities in presence of heat source or sink.…”

Section: Introductionmentioning

confidence: 95%

Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

et al. 2011

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The problem of double-diffusive convection in inclined triangular porous enclosures with sinusoidal variation of boundary conditions in the presence of heat source or sink was discussed numerically. The dimensionless governing equations of the problem were solved numerically by using finite difference method. The effects of governing parameters, namely, the dimensionless time parameter, various values of the inclination angle, Darcy number, the heat generation/absorption parameter, the buoyancy parameter and the amplitude wave length ratio on the streamlines, temperature and concentration contours as well as the velocity component in the x-direction at the triangle mid-section, the average Nusselt and Sherwood numbers at the bottom wall of the triangle for various values of aspect ratio were considered. The present results are validated by favorable comparisons with previously published results. All the results of the problem were presented in graphical and tabular forms and discussed. List of Symbols a Dimensional amplitude of sinusoidal change (m)A Amplitude wave length ratio (a/H )

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“…Numerical study of natural convection in an isosceles and right angled triangular enclosure filled with porous media for various thermal boundary conditions is investigated by Basak et al [29,30]. Further the influence of uniform and non-uniform heating of bottom wall while the two inclined walls maintained at constant cold temperature within triangular enclosure filled with porous media was investigated by Basak et al [31]. Oztop et al [32] investigated conjugate natural convection in a two-dimensional triangular enclosure filled with a porous medium when solid vertical wall has finite conductivity and that the temperature of the inclined wall is lower than that of the vertical wall, while the horizontal wall is adiabatic.…”

Section: Introductionmentioning

confidence: 98%

Analysis of heat recovery and heat transfer within entrapped porous triangular cavities via heatline approach

Basak

Roy

Ramakrishna

et al. 2010

International Journal of Heat and Mass Transfer

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Natural convection and flow simulation in differentially heated isosceles triangular enclosures filled with porous medium

Cited by 26 publications

References 36 publications

Effects of uniform magnetic field on the natural convection of Cu–water nanofluid in a triangular cavity

Effects of uniform magnetic field on the natural convection of Cu–water nanofluid in a triangular cavity

Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

Analysis of heat recovery and heat transfer within entrapped porous triangular cavities via heatline approach

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