Numerical simulation of unsteady natural convection flow inside a pattern of connected open square cavities

Elgendi, Mahmoud

doi:10.1016/j.ijthermalsci.2018.02.008

Cited by 22 publications

(4 citation statements)

References 25 publications

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“…The finite difference methodology is the numerical algorithm applied by using a FORTRAN software to solve numerically the dimensionless boundary conditions (16) with respect to the non-dimensionalize equations (11) to (15). These equations are first converted to a set of separate finite difference equations; the first and second derivatives in the two directions x and y are approximated by utilizing the central difference approach.…”

Section: Methodsmentioning

confidence: 99%

“…There is extensive research literature embedded in the heat transfer within cavities. El-Gendi 15 performed a numerical study of heat transfer by natural convection and unsteady flow in square cavities with the connected open pattern. The results refer to that the velocities and Nusselt number values at the closed cavity are Much less than obtained at the open cavity.…”

Section: Introductionmentioning

confidence: 99%

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Thermal non-equilibrium model subjected to thermal radiation impact and dust particles suspension in a porous square cavity

Mahdy

Mohamed

Hady

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part E:

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Heat transfer due to a square Darcy porous cavity in the presence of dust particles and thermal radiation effect by applying the thermal non-equilibrium model is investigated numerically in the current paper. The square cavity is maintained at a hot temperature at the left side wall, and the right side wall is maintained at cold temperature. While the bottom and top walls of the cavity are considered adiabatic. The impact of governing physical parameters on the streamlines, isotherms contours for the fluid and dust phases and isotherms for the solid phase are tested and represented through Graphic. In addition, the profiles of the average Nusselt numbers for solid and fluid phases and the total average Nusselt number are presented. The finite difference method is convenient to obtain a numerical analysis of the non-dimensionalized equations via the influence of mass concentration of the dust particles, fluid-particle interaction parameter for velocity, fluid-particle interaction parameter for temperature, Eckert number, radiation parameter, Rayleigh number, modified conductivity ratio, and inter-phase heat transfer coefficient. The results urge that the presence of dust particles leads to reduces the heat transfer rate at the left wall of the enclosure.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal non-equilibrium model subjected to thermal radiation impact and dust particles suspension in a porous square cavity

Mahdy

Mohamed

Hady

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…For instance, the flow behavior may be modified to provide proper flow acceleration through manipulating the geometrical parameters such as the enclosure shape, inclination angle, aspect ratio and the heat source location [5]. Although numerous models of the classical open enclosures [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and non-classical ones [25][26][27] have been designed by many researchers for investigating and describing the natural convection processes in energy related applications, considerable efforts are still needed to acquire an optimum enclosure design that meet the requirements for the efficient heat transfer process. In fact, one of the most important geometries of the enclosures is the parallelogrammic shape.…”

Section: Introductionmentioning

confidence: 99%

MHD Natural Convection in a Fully Opened Parallelogrammic Enclosure Filled with Copper–Water Nanofluid and Partially Heated from its Left Sidewall

Ghani

Khammas

Mustafa

et al. 2020

ARFMTS

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The present work examined numerically for the first time, the magneto-hydrodynamics (MHD) natural convection flow and heat transfer in a fully opened parallelogrammic enclosure filled with copper-water nanofluid and subjected to a straight magnetic field. Both the upper and lower inclined walls of the enclosure are kept cold, while its right sidewall is considered fully opened to the environment. The left sidewall of the enclosure is heated partially, while the remaining parts of it are considered thermally insulated. The ranges of this study are, Hartmann number (0  Ha  75), nondimensional heat source location (0.25    0.75), Rayleigh number (10 4  Ra  10 6), solid volume fraction (=0.04), and the inclination angle of the upper and the lower walls (-60°    60°). The non-dimensional heat source length is considered fixed at [ = 0.25]. For all Hartmann numbers, It was found that for [Ra =10 6 ] , the maximum

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“…Over the past few decades, heat transfer mechanisms have been studied using simplied geometries that allow to understand the uid dynamics and its thermal coupling [1,2,3]. Among those cases, the natural convection in square cavity with dierentially heated from sidewalls problem has been the most common benchmark case to test new numerical methods in the approximation of convective dominant thermally coupled ows.…”

Section: Introductionmentioning

confidence: 99%

Pseudoplastic fluid flows for different Prandtl numbers: Steady and time-dependent solutions

Aguirre

Castillo

Cruchaga

et al. 2019

International Journal of Thermal Sciences

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In this work, a variational multiscale (VMS) nite element formulation is used to approximate numerically the natural convection in square cavity with dierentially heated from sidewalls problem for Newtonian and power-law uids. The problem is characterized for going through a Hopf bifurcation when reaching high enough Reyleigh numbers, which initiates the transition between steady and time dependent behavior, however, results found in the literature are only for air Prandtl number. The presented VMS formulation is validated using existing results, and is used to study highly convective cases, to determine the ow conditions at which it becomes time dependent, and to establish new benchmark solutions for non-Newtonian uid ows for dierent Pr and power-law indexes n. The range of solutions were found in the range 0.6 < n < 1 and 0.01 < Pr < 1, 000, and the critical Rayleigh number (Ra c ) where Hopf bifurcations appear were identied for all cases. Obtained results have good agreement with those previously reported in the specic literature, and new data related to the heat transfer capabilities of pseudoplastic uids and its oscillatory behavior was identied. This non-Newtonian inuence of the uid is later checked in a 3D model of a simplied heat exchanger, where the capability of pseudoplastic uids for energy transport proved to be enhanced when compared to the Newtonian case.

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Numerical simulation of unsteady natural convection flow inside a pattern of connected open square cavities

Cited by 22 publications

References 25 publications

Thermal non-equilibrium model subjected to thermal radiation impact and dust particles suspension in a porous square cavity

Thermal non-equilibrium model subjected to thermal radiation impact and dust particles suspension in a porous square cavity

MHD Natural Convection in a Fully Opened Parallelogrammic Enclosure Filled with Copper–Water Nanofluid and Partially Heated from its Left Sidewall

Pseudoplastic fluid flows for different Prandtl numbers: Steady and time-dependent solutions

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