Natural Convection in an Inclined Porous Cavity with Spatial Sidewall Temperature Variations

Selamat, Mat Salim; Roslan, Rozaini; Hashim, Ishak

doi:10.1155/2012/939620

Cited by 7 publications

(4 citation statements)

References 18 publications

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“…Sathiyamoorthy and Chamkha (Behseresht et al, 2014;Saeid and Mohamad, 2005;Saeid and Yaacob, 2006) considered natural convection in a square cavity for linearly heated side walls. Selamat et al (2012) Spatial sidewall temperature variations investigated the effect of inclination angle on natural convection in a porous cavity with spatial sidewall temperature variations. However, the study of natural convection heat transfer in a trapezoidal cavity filled with nanofluid and heated by spatial sidewall temperature has not yet been undertaken.…”

mentioning

confidence: 99%

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

Alsabery

Hashim

Chamkha

et al. 2017

HFF

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Purpose This paper aims to study analytically and numerically the problem of transient natural convection heat transfer in a trapezoidal cavity with spatial side-wall temperature variation. Design/methodology/approach The governing equations subject to the initial and boundary conditions are solved numerically by the finite difference scheme consisting of the alternating direction implicit method and the tri-diagonal matrix algorithm. The left sloping wall of the cavity is heated to non-uniform temperature, and the right sloping wall is maintained at a constant cold temperature, while the horizontal walls are kept adiabatic. Findings It is shown that the heat transfer rate increases in non-uniform heating increments, whereby low wave number values are more affected by the convection. The best heat transfer enhancement results from larger side wall inclination angle; however, trapezoidal cavities require longer time compared to that of square to reach steady state. Originality/value The study of natural convection heat transfer in a trapezoidal cavity filled with nanofluid and heated by spatial side-wall temperature has not yet been undertaken. Thus, the authors of the present study believe that this work is valuable.

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confidence: 99%

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

Alsabery

Hashim

Chamkha

et al. 2017

HFF

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“…Their results revealed that the dynamic and temperature fields are strongly affected by the variations of magnetic field and the inclination angle. The maximum natural convection state significantly depends on the angle of inclination which was found by Selamat et al (2012).…”

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confidence: 89%

Effect of Inclination Angle and Magnetic Field on Convection Heat Transfer for Nanoﬂuid in a Porous Cavity

Nithyadevi¹,

Rajarathinam²

2016

JAFM

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In this paper, the effect of inclination angle and magnetic field in a two-dimensional porous cavity filled with Cu-water nanofluid has been studied numerically. The equations are framed using the Darcy-Brinkman-Forchheimer model. The control volume technique is used to solve the governing equations and SIMPLE algorithm is employed for the momentum equations. Comparison test was done with previous available literatures and the results are found to be in good agreement. The results are presented for different values of inclination angle (0 o ≤ γ ≤ 180 o ), Hartmann number (0 ≤ Ha ≤ 100), Darcy number (10 −5 ≤ Da ≤ 10 −1 ) and solid volume fraction (0% ≤ ϕ ≤ 5%) while the porosity ε, Rayleigh number Ra and Prandtl number Pr are fixed at 0.6, 10 6 and 6.2, respectively. It is found that the influence of solid volume fraction is strongly affected by the presence of strong magnetic field and the inclination angle 90 o in the porous medium.

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“…Detailed reviews of convection heat transfer applications in a porous media are reported in the recently published books by Pop and Ingham [1], Vafai [2], Ingham and Pop [3] and Nield and Bejan [4]. During the past years, many studies considered the free convection in cavities filled with the porous media [5][6][7][8][9][10][11][12]. Furthermore, the analysis of the joint conduction and free convection heat transfer in a cavity filled with a porous media received great concern by considerable number of investigators as it is widely found in practical applications such as buildings isolation, double-glazing windows, electronic devices cooling and cold storage installations.…”

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confidence: 99%

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

Elamin

Hussein

Mahdi

2021

ARFMTS

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In this research, the entropy production of the conjugate heat transfer in a tilted porous cavity in respect to heat source and solid walls locations has been studied numerically. Three different cases of the cavity with finite walls thickness and heat source locations are considered in the present study. For both cases one and two, the cavity considered has a vertical finite walls thickness, while the cavity with the horizontal finite walls thickness is considered for case three. For cases one and two, the left sidewall of the cavity is exposed to heat source, whereas the rest of this wall as well as the right sidewall are adiabatic. The upper and lower cavity walls are adiabatic. For case three, the lower wall is exposed to a localized heat source, while the rest of it is assumed adiabatic. The upper wall is cold, whereas the left and right sidewalls are adiabatic. The flow and thermal fields properties along with the entropy production are computed for the modified Rayleigh number (150 ? Ram ? 1000), thermal conductivity ratio (1 ? Kr ? 10), heat source length (0.2 ? B ? 0.6), aspect ratio (0.5 ? AR ? 2) and walls thickness (0.1 ? D1 ? 0.2 and 0.1 ? D2 ? 0.2) respectively. The results show that, the maximum values of the entropy generated from fluid friction develop close to the cavity wall-fluid interfacial, while the maximum values of the entropy generated from heat transfer develop nearby the heat source region. The average Bejan number (Beav) is higher than (0.5) for cases one and two. While for case three, it was found to be less than (0.5). Also, the results show that as the modified Rayleigh number, thermal conductivity ratio, heat source length and aspect ratio increased, the fluid flow intensity in the cavity increased. While, it decreased when the walls thickness increased. From the results, it is concluded that case three gives a higher heat transfer enhancement. The obtained results are compared against another published results and a good agreement is found between them.

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Natural Convection in an Inclined Porous Cavity with Spatial Sidewall Temperature Variations

Cited by 7 publications

References 18 publications

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity

Effect of Inclination Angle and Magnetic Field on Convection Heat Transfer for Nanoﬂuid in a Porous Cavity

Numerical Simulation of Entropy Generation of Conjugate Heat Transfer in A Porous Cavity with Finite Walls and Localized Heat Source

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