Numerical investigation of natural convection phenomena in a uniformly heated circular cylinder immersed in square enclosure filled with air at different vertical locations

Hussain, Salam Hadi; Hussein, Ahmed Kadhim

doi:10.1016/j.icheatmasstransfer.2010.05.016

Cited by 139 publications

(57 citation statements)

References 23 publications

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“…But its performances are even more remarkable in the simulation of natural convection in the annulus between a rectangular enclosure and a cylinder of circular cross-section [13][14][15][16][17][18][19][20], square cross-section [21][22][23], or elliptical cross-section [24]. However, one finds in the literature many other numerical works that treated the natural convection in such geometries by using the NavierStokes equations [25][26][27][28]. Generally, the system is heated by the cylinder and cooled by the cavity walls which are maintained at the same temperature.…”

Section: Introductionmentioning

confidence: 99%

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Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Moutaouakil

Zrikem

Abdelbaki

2017

Mathematical Problems in Engineering

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Laminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated, corresponding to two opposite sides of the hexagonal cross-section which are horizontal (case I) or vertical (case II). For each case, the results are presented in terms of streamlines, isotherms, local and average convective heat transfers as a function of the dimensionless size of the hexagonal cylinder cross-section (0.1≤B≤0.4), and the Rayleigh number (103≤Ra≤106).

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Section: Introductionmentioning

confidence: 99%

“…Thus, Hussain and Hussein [27] studied the effect of the position of a circular cylinder inside a square enclosure. These authors have shown that the position of the horizontal cylinder has an influence on the convective heat transfer which is proportional to the Rayleigh number.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Moutaouakil

Zrikem

Abdelbaki

2017

Mathematical Problems in Engineering

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“…Lee et al (2010) investigated the effects of horizontal position and diameter of a circular cylinder on the rate of heat transfer. Hussain and Hussain (2010) studied the circular cylinder in a square enclosure using limited volume method; they showed that when a constant thermal flux was applied on the cylinder surface, by moving the cylinder towards the bottom wall of the enclosure, the rate of heat transfer was decreased in low Rayleigh numbers, and, inversely, it was increased in high Rayleigh numbers. However, by moving the cylinder towards the top wall, the rate of heat transfer increased in both Rayleigh numbers.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Natural Convection From a Pair of Hot Cylinders in a Cold Square Enclosure in Different Boundary Conditions

Rezazadeh¹,

Abdi²

2016

Frontiers in Heat and Mass Transfer

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This study investigates the heat transfer in the mode of natural convection from a pair of hot cylinders to a cold square enclosure. Effects of boundary conditions of the enclosure on the rate of heat transfer from a pair of isothermal hot cylinders are investigated at a Rayleigh number of 10 5 . The cylinders are arranged in a horizontal array at the middle height of enclosure. The commercial software, Fluent (V.6.3.26), is utilized to solve the problem using the Finite Volume Method. The streamlines as well as isothermal lines of the problem are reported. Moreover, the local Nusselt number on the walls of enclosure is calculated. The results show that the boundary conditions of the enclosure have crucial effects on the heat transfer of a pair of hot cylinders.

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“…They found that non-uniform heating of the bottom wall enhances the heat transfer rate than the uniform heating case for all Rayleigh number. At the same time the effect of different thermal boundary conditions at bottom wall on natural convection in cavities was analyzed by Hussion and Hussein [20] and Aswatha et al [21].…”

Section: Introductionmentioning

confidence: 99%

Natural Convection Around a Heat Conducting and Generating Solid Body Inside a Square Enclosure With Different Thermal Boundaries

Nithyadevi¹,

Umadevi²

2015

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. Two-dimensional steady laminar natural convection around a heat conducting and generating solid body inside a square enclosure with different thermal boundaries is performed. The mathematical model is governed by the coupled equation of mass, momentum and energy. These equations are discretized by finite volume method with power-law scheme and solved numerically by SIMPLE algorithm with under-relaxation technique. Effect of Rayleigh number, temperature difference ratio of solid-fluid, aspect ratio of solid-enclosure and the thermal conductivity ratio of solid-fluid are investigated numerically for P r = 0.7. The flow and heat transfer aspects are demonstrated in the form of streamlines and isotherms respectively.

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Numerical investigation of natural convection phenomena in a uniformly heated circular cylinder immersed in square enclosure filled with air at different vertical locations

Cited by 139 publications

References 23 publications

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Numerical Simulation of Natural Convection From a Pair of Hot Cylinders in a Cold Square Enclosure in Different Boundary Conditions

Natural Convection Around a Heat Conducting and Generating Solid Body Inside a Square Enclosure With Different Thermal Boundaries

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