Mixed Convection in a Vented Square Cavity with a Heat Conducting Horizontal Solid Circular Cylinder

Rahman, M. M.; Алим, М. А.; Saha, S.C.; Chowdhury, M. K.

doi:10.3329/jname.v5i2.2504

Cited by 37 publications

(31 citation statements)

References 12 publications

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“…Thus, the equations (7)- (10) and the boundary conditions (11) are solved numerically by using Galerkin weighted residual finite element method. The details of this method can be found in the works of Zienkiewicz and Taylor [17], Rahman et al [18][19], Uddin [20], Triki and Hadj-Taieb [21]. In FEM the discretized finite element meshes are composed of nonuniform triangular elements.…”

Section: Computational Proceduresmentioning

confidence: 99%

Finite Element Simulation for Heatline Visualization of Natural Convective Flow and Heat Transfer inside a Prismatic Enclosure

Alam¹,

Rahman²,

Parvin³

et al. 2016

IJHT

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Finite element simulation is performed visualizing heat flow through heatlines for a free convection flow and heat transfer in an air-filled prismatic enclosure. This configuration has applications in collecting solar energy in attic spaces of greenhouses and buildings having pitched roofs. The top inclined walls of the enclosure are considered at constant low temperature, two vertical walls are adiabatic whereas the bottom wall is heated isothermally as well as non-isothermally. The Galerkin weighted residual finite element method is used to solve the governing non-linear partial differential equations. The simulated results are displayed through streamlines, isotherms and heatlines to examine the effects of buoyancy on the flow and thermal fields. The Rayleigh number's effects on average temperature and velocity fields are also calculated and displayed graphically. The results indicate that for a uniformly heated bottom wall both the average temperature and the average velocity in the cavity are higher compared to the non-uniformly heated bottom wall. Furthermore, heatlines were observed to predict the energy transfer better than those of the isothermal lines.

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Section: Computational Proceduresmentioning

confidence: 99%

Finite Element Simulation for Heatline Visualization of Natural Convective Flow and Heat Transfer inside a Prismatic Enclosure

Alam¹,

Rahman²,

Parvin³

et al. 2016

IJHT

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show abstract

“…Lastly, Triangular factorization method is applied for solving those linear equations. The grid refinement check and the validation of the computer code have already been verified [15].…”

Section: Numerical Techniquementioning

confidence: 99%

Effect of Reynolds and Prandtl Numbers on Mixed Convection in an Obstructed Vented Cavity

2011

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A numerical investigation is conducted to analyze the steady flow and thermal fields as well as heat transfer characteristics in a vented square cavity with a built-in heat conducting horizontal solid circular obstruction. Hydrodynamic behavior, thermal characteristics and heat transfer results are obtained by solving the couple of Navier-Stokes and energy equations by using a weighted residuals Finite element method. The computation was made for different Reynolds number, Prandtl number ranging from 50 to 200 and from 0.71 to 7.1 at the three different convective regimes. Three different regimes are observed with increasing Ri: forced convection (with negligible free convection), mixed convection (comparable free and forced convection) and free convection dominated region (with higher free convection). The results are presented to show the effects of the Reynolds number, Prandtl number on flow pattern, thermal field and heat transfer characteristics at the three convective regimes. It is found that the flow and thermal field strongly depend on the Reynolds number, Prandtl number as well as Richardson number. As the Reynolds number and Prandtl number increase, the heat transfer rate increases but average fluid temperature in the cavity and temperature at the cylinder center decrease at the three convective regimes.

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“…The computational results indicate that the heat transfer coefficient is strongly affected by Reynolds number and Richardson number. Rahman et al, 2008 [5] investigated the steady laminar mixed convection flow inside a vented square cavity with a heat conducting horizontal solid circular cylinder placed at the center of the cavity. The phenomenon inside the cavity for the case of with and without cylinder is analyzed through streamline and isotherm patterns.…”

Section: Introductionmentioning

confidence: 99%

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

Bouabdallah¹,

Chati²,

Ghernaout³

et al. 2016

IJHT

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In this study, we are interested to the turbulent mixed convection in a ventilated enclosure. A heat source is placed at the middle of the enclosure that's equipped with two openings; one is located at the lower left corner and the other located in the upper right corner. The width of the opening "h" represents 1/5 of the side of the cavity. The walls of the cavity are maintained adiabatic. The temperature of the heat source Th is higher than the room temperature. The width of the heat source "D" is equal to the opening width "h" (D = h). The governing equations of turbulent mixed flow convection in the cavity are solved using finite volumes method. A model k-ε of two-equation was used for closure the equations of turbulent regimes. The Grashof number is set constant (Gr = 10 9 ) and the Reynolds number (Re) varied such that the Richardson number (Ri) takes the values : 0.01, 0.05, 0.1, 1, 2, 5, 10, 20 and 30 (Ri = Gr / Re 2 ). The effects of flow thermal, dynamic parameters, the geometry and heat source dimensions are presented and discussed.

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Mixed Convection in a Vented Square Cavity with a Heat Conducting Horizontal Solid Circular Cylinder

Abstract: Abstract

Cited by 37 publications

References 12 publications

Finite Element Simulation for Heatline Visualization of Natural Convective Flow and Heat Transfer inside a Prismatic Enclosure

Finite Element Simulation for Heatline Visualization of Natural Convective Flow and Heat Transfer inside a Prismatic Enclosure

Effect of Reynolds and Prandtl Numbers on Mixed Convection in an Obstructed Vented Cavity

Turbulent Mixed Convection in Enclosure Containing a Circular/Square Heat Source

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