Numerical natural convection in a sector‐shaped enclosure

Sarr, Joseph; Sall, Mactar; Kane, Mamadou Mansour; Ba, Bassirou; Daguenet, M.

doi:10.1108/09615530110389126

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…Natural convection in cavities has been the subject of numerous numerical and experimental studies over the years, due to the importance of the topic in many applications (Sathiyamoorthy and Chamkha, 2012; Basak et al , 2006; Das and Morsi, 2002; Sarr et al , 2001; Aydin and Yang, 2000; Ho and Tu, 1999; Al‐Najem et al , 1998; Rasoul and Prinos, 1997; Grundmann et al , 1996; Ghosh et al , 1992). A great deal of attention has been focused on fluid motion induced by buoyancy forces due to simultaneous temperature and concentration gradients.…”

Section: Introductionmentioning

confidence: 99%

Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

Arpino

Massarotti

Mauro

et al. 2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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PurposeThe purpose of the paper is to numerically simulate steady‐state thermo‐solutal convection in rectangular cavities with different aspect ratios, subject to horizontal temperature and concentration gradients, and validate the results against numerical and experimental data available from literature.Design/methodology/approachThe fully explicit Artificial Compressibility (AC) version of the Characteristic Based Split (CBS) scheme is adopted to solve double diffusion (DD) problems. A stabilization analysis is carried out to efficiently solve the problems considered in the present work. The thermal and solutal buoyancy forces acting on the fluid have been taken into account in case of aiding and opposing flow conditions.FindingsThe stability limits derived by the authors for the thermo‐solutal convection assume a fundamental role to efficiently solve the DD problems considered. In the cases characterized by higher Rayleigh number the convergent solution is obtained only by employing the new stability conditions. The efficient matrix free procedure employed is a powerful tool to study complex DD problems.Originality/valueIn this paper, the authors extend the stabilization analysis for the AC‐CBS scheme to the solution of DD, fundamental to efficiently solve the present problems, and apply the present fully explicit matrix free scheme, based on finite elements, to the solution of DD natural convection in cavities.

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Section: Introductionmentioning

confidence: 99%

Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

Arpino

Massarotti

Mauro

et al. 2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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“…The shape of the enclosures has been found to be of great importance in many fields. Sarr et al (2001), Das and Morsi (2002) used sector and dome-shaped cavities, respectively. Later on, Wang (2002) investigated natural convection within square, semicircular and triangular shaped cavities.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of natural convection within wavy square enclosure filled with nanofluid under magnetic field using EFGM with parallel algorithm

Nishad

Jain

Bhargava

2021

HFF

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Purpose This paper aims to study the flow and heat transfer inside a wavy enclosure filled with Cu-water nanofluid under magnetic field effect by parallel implemented meshfree approach. Design/methodology/approach The simulation has been carried out for a two-dimensional model with steady, laminar and incompressible flow of the nanofluid filled inside wavy enclosure in which one of the walls is sinusoidal such that the amplitude (A = 0.15) and number of undulations (n = 2) are fixed. A uniform magnetic field B0 has been applied at an inclination angle γ. The governing equations for the transport phenomena have been solved numerically by implementing element-free Galerkin method (EFGM) with the sequential as well as parallel approach. The effect of various parameters, namely, nanoparticle volume fraction (φ), Rayleigh number (Ra), Hartmann number (Ha) and magnetic field inclination angle (γ) has been studied on the natural convection flow of nanofluid. Findings The results are obtained in terms of average Nusselt number calculated at the cold wavy wall, streamlines and isotherms. It has been observed that the increasing value of Rayleigh number results in increased heat transfer rate while the Hartmann number retards the fluid motion. On the other hand, the magnetic field inclination angle gives rise to the heat transfer rate up to its critical value. Above this value, the heat transfer rate starts to decrease. Originality/value The implementation of the magnetic field and its inclination has provided very interesting results on heat and fluid flow which can be used in the drug delivery where nanofluids are used in many physiological problems. Another important novelty of the paper is that meshfree method (EFGM) has been used here because the domain is irregular. The results have been found to be very satisfactory. In addition, parallelization of the scheme (which has not been implemented earlier in such problems) improves the computational efficiency.

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“…Analysis of these cavity shapes is more difficult to conduct than analysis of square or rectangular-shaped geometries. In these contexts, different types of cavities, such as wavy-walled cavities (Aounallah et al , 2007), triangular enclosures (Rahman et al , 2012a, b; Ching et al , 2012; Basak et al , 2007; Hasanuzzaman et al , 2012a, b), trapezoidal (Hasanuzzaman et al , 2012a, b; Varol et al , 2009), sector shape (Sarr et al , 2001), horizontal annulus (Date, 1986) and hemispherical (Bairi and Oztop, 2014a, b; Bairi, 2014) have all been thoroughly analyzed.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic time-dependent computational natural convection flow, heat and mass transfer in inclined semi-circular enclosures

Rahman

Öztop

Saidur

et al. 2016

HFF

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Purpose The purpose of this paper is to make a numerical analysis on unsteady analysis of natural convection heat and mass transfer to obtain flow field, temperature distribution, and concentration distribution. Design/methodology/approach A finite element method is applied to solve governing equations of natural convection in curvilinear-shaped system for different parameters as thermal Rayleigh numbers (103=RaT=106), inclination angle (0°=φ=60°) and Hartmann numbers (0=Ha=100). Findings Both magnetic field and inclination angle can be used as control parameter on heat and mass transfer. Flow strength decreases almost 100 percent between Ha=0 and Ha=100 on behalf of the higher values of thermal Rayleigh number. Originality/value The originality of this work is to application of magnetic field on time-dependent natural convection flow, heat and mass transfer for curvilinear geometry.

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Numerical natural convection in a sector‐shaped enclosure

Cited by 7 publications

References 8 publications

Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

Numerical simulation of natural convection within wavy square enclosure filled with nanofluid under magnetic field using EFGM with parallel algorithm

Magnetohydrodynamic time-dependent computational natural convection flow, heat and mass transfer in inclined semi-circular enclosures

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