Ventilation of Square Cavity Containing a Heat Source

2021 ◽  
Vol 406 ◽  
pp. 149-163
Author(s):  
Djelloul Chati ◽  
Said Bouabdallah ◽  
Badia Ghernaout
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Governing Equations ◽  
Square Cavity ◽  
Numerical Resolution ◽  
Ventilated Cavity ◽  
Lower Left Corner ◽  
Left Corner ◽  
Volume Method ◽  
Cavity Effect

A numerical simulation of turbulent mixed convection of a ventilated cavity containing a heat source placed of the center has been carried out. This cavity is outfitted along couple holes: one placed within the lower left corner and the other in the top right corner. The width of the hole "H" represents is 1/5 of the length of the cavity side. The diameter regarding the round heat source "D" is equal in accordance with the breadth of the inlet gap’s H (D = H). The walls of the cavity considered are maintained adiabatic, while the temperature of the heat source T is higher than the ambient temperature. The turbulence model k-ε was used for governing equations of turbulent mixed convection inside the cavity. The finite volume method was used for numerical resolution. The parameters of flow are: the Grashof number is set to Gr = 109 and the Reynolds number (Re) varies so that the number of Richardson (Ri) takes the values Ri = 0.01, 0.05, 0.1, 1, 2, 5, 10, 20 and 30 (Ri = Gr/ Re2). The effect of thermo-dynamic parameters and the shape geometric cavity effect are investigated.

scholarly journals Mhd Mixed Convection in Copper-Water Nanofluid Filled Lid-Driven Square Cavity Containing Multiple Adiabatic Obstacles with Discrete Heating

2020 ◽  
Vol 25 (2) ◽  
pp. 57-74
Author(s):  
R.S.R. Gorla ◽  
S. Siddiqa ◽  
A.A. Hasan ◽  
T. Salah ◽  
A.M. Rashad
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Convection Flow ◽  
Square Cavity ◽  
Left Wall ◽  
Simpler Algorithm ◽  
Position Parameter ◽  
The Right ◽  
Volume Method ◽  
Good Agreement

AbstractThe objective of the present work is to investigate the influence of nanoparticles of copper within the base fluid (water) on magneto-hydrodynamic mixed-convection flow in a square cavity with internal generation. A control finite volume method and SIMPLER algorithm are used in the numerical calculations. The geometry is a lid-driven square cavity with four interior square adiabatic obstacles. A uniform heat source is located in a part of the left wall and a part of the right wall of the enclosure is maintained at cooler temperature while the remaining parts of the two walls are thermally insulated. Both the upper and bottom walls of the cavity are considered to be adiabatic. A comparison with previously published works shows a very good agreement. It is observed that the Richardson number, Ri, significantly alters the behavior of streamlines when increased from 0.1 to 100.0. Also, the heat source position parameter, D, significantly changes the pattern of isotherms and its strength shifted when D moves from 0.3 to 0.7.

GPU-Based Simulations to Analyze the Effect of Heat Source in Mixed Convection

2012 ◽  
Author(s):  
Nabeel A. Qazi ◽  
Imran Akhtar ◽  
M. Saif Ullah Khalid
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Computer Technology ◽  
Heated Wall ◽  
Efficient Computation ◽  
Governing Equations ◽  
Square Cavity ◽  
Parallel Performance ◽  
Cuda Programming ◽  
Speed Up

Thermo-fluids applications are studied, both experimentally and numerically, due to its applications in various engineering and scientific problems. With the growing computer technology, numerical simulations are often employed to analyze thermofluid phenomenon. In this paper, we study the effect of heat source and sink in mixed convection in a lid-driven square cavity. Many applications require efficient computation of flow and temperature field data for cooling and other control purposes. We develop an explicit numerical methodology, both on CPU and GPU platforms, to solve the governing equations. The numerical scheme is implemented sequentially on a CPU and in parallel on a GPU using CUDA programming language. We vary the size and locations of the heated wall, along with the inclination of cavity, to study its effect on convection. In terms of parallel performance, GPU provides speed-up ranging from 3 to 13 depending on the problem configuration.

Heat Transfer Enhancement Using Cu-Water Nanofluid in an Enclosure with Moving Cold Sidewalls

2012 ◽  
Vol 326-328 ◽  
pp. 440-445
Author(s):  
Ghanbar Ali Sheikhzadeh ◽  
M. Tavakoli ◽  
H. Alizadeh
Keyword(s):  
Heat Source ◽  
Richardson Number ◽  
Volume Fraction ◽  
Maximum Temperature ◽  
Source Surface ◽  
Governing Equations ◽  
Transfer Enhancement ◽  
Square Cavity ◽  
Simpler Algorithm ◽  
Volume Method

Mixed convection of Cu-water nanofluid in a lid-driven square cavity with a heat source embedded in the bottom wall is studied numerically. The governing equations together with the respective boundary conditions are solved numerically using the finite volume method and the SIMPLER algorithm. The computations are performed for various Richardson numbers (), heat source length () and volume fraction of the nanoparticles (). It is observed from the results that the average Nusselt number is increased by increasing the Richardson number and the volume fraction of the nanoparticles. Moreover, the maximum temperature at the heat source surface decreases by increasing the Richardson number and the volume fraction of the nanoparticles.

scholarly journals Mixed Convection and Entropy Generation of an Ag-Water Nanofluid in an Inclined L-Shaped Channel

Energies ◽  
2019 ◽  
Vol 12 (6) ◽  
pp. 1150 ◽  
Author(s):  
Taher Armaghani ◽  
Muneer Ismael ◽  
Ali Chamkha ◽  
Ioan Pop
Keyword(s):  
Nusselt Number ◽  
Mixed Convection ◽  
Entropy Generation ◽  
Richardson Number ◽  
Volume Fraction ◽  
Governing Equations ◽  
Nanoparticles Volume Fraction ◽  
The Mean ◽  
The Right ◽  
Volume Method

This paper investigates the mixed convection and entropy generation of an Ag-water nanofluid in an L-shaped channel fixed at an inclination angle of 30° to the horizontal axis. An isothermal heat source was positioned in the middle of the right inclined wall of the channel while the other walls were kept adiabatic. The finite volume method was used for solving the problem’s governing equations. The numerical results were obtained for a range of pertinent parameters: Reynolds number, Richardson number, aspect ratio, and the nanoparticles volume fraction. These results were Re = 50–200; Ri = 0.1, 1, 10; AR = 0.5–0.8; and φ = 0.0–0.06, respectively. The results showed that both the Reynolds and the Richardson numbers enhanced the mean Nusselt number and minimized the rate of entropy generation. It was also found that when AR. increased, the mean Nusselt number was enhanced, and the rate of entropy generation decreased. The nanoparticles volume fraction was predicted to contribute to increasing both the mean Nusselt number and the rate of entropy generation.

Laminar Natural Convection Inside a Wavy Enclosure Heated From Top and Uniformly Cooled From the Bottom and Both Sides

2005 ◽  
Author(s):  
Amaresh Dalal ◽  
Manab Kumar Das
Keyword(s):  
Natural Convection ◽  
Simple Algorithm ◽  
Governing Equations ◽  
Square Cavity ◽  
Integral Forms ◽  
Nusselt Number Distribution ◽  
Laminar Natural Convection ◽  
Lower Temperature ◽  
Volume Method ◽  
Spatially Varying

In the present paper, natural convection inside a square cavity with one and three undulations on the top wall has been carried out. The top wall is heated by a spatially varying temperature and other three walls are kept constant lower temperature. The integral forms of the governing equations are solved numerically using finite-volume method in non-orthogonal body-fitted coordinate system. SIMPLE algorithm with higher-order up-winding scheme are used. The streamlines and isothermal lines are presented for different Rayleigh number (103-106) and a fluid having Prandtl number 0.71. Results are presented in the form of local and average Nusselt number distribution for two different undulations (1 and 3) with wave amplitude of 0.05.

scholarly journals Isotherms and Streamlines for 2D Lid Driven Square Cavity

2021 ◽  
Vol 10 (11) ◽  
pp. 97-99
Author(s):  
Garepally Srinivas ◽  
◽  
A. V. Ramana Kumari ◽  
Narayana Vekamulla ◽  
◽  
...  
Keyword(s):  
Reynolds Number ◽  
Richardson Number ◽  
Thermal Characteristics ◽  
Cavity Flow ◽  
Control Parameters ◽  
Governing Equations ◽  
Square Cavity ◽  
Isothermal Temperature ◽  
Vertical Walls ◽  
Volume Method

Analysis of lid driven square cavity flow of air with three different ranges of Ri and Re are analyzed using numerically. Adiabatic temperature is maintained at horizontal walls and isothermal temperature is established at the vertical walls in which the top wall is assumed to slide with a uniform speed. Finite volume method techniques have used to solve non dimensional governing equations. To visualize the flow and thermal characteristics, the control parameters, the Richardson number (Ri) and Reynolds number (Re) and in the range of 0.001 ≤ Ri ≤ 10 and 100 ≤ Re ≤ 400 are used for streamlines and isotherms.

Turbulent Natural Convection in Horizontal Composite Cavities

2003 ◽  
Author(s):  
Edimilson J. Braga ◽  
Marcelo J. S. de Lemos
Keyword(s):  
Natural Convection ◽  
Computational Domain ◽  
Turbulent Model ◽  
Governing Equations ◽  
Square Cavity ◽  
Thermal Systems ◽  
Turbulent Natural Convection ◽  
Solid Region ◽  
Treat All ◽  
Volume Method

Turbulent natural convection in a two-dimensional horizontal composite square cavity, isothermally heated at the left side and cooled from the opposing surface, is numerically analyzed using the finite volume method. The composite square cavity is formed by three distinct regions, namely, clear, porous and solid region. Accordingly, the development of a numerical tool able to treat all these regions as one computational domain is of advantage for engineering design of thermal systems. Governing equations are written in terms of primitive variables and are recast into a general form. It was found that the fluid begins to permeate the porous medium for values of Ra greater than 106. Nusselt number values show that for the range of Ra analyzed there are no significant variation between the laminar and turbulent model solution..

scholarly journals Numerical Study of the Turbulent Natural Convection in a Trapezoidal Cavity: Influence of the Inclination of the Lateral Walls

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Numerical Study ◽  
Boussinesq Approximation ◽  
Governing Equations ◽  
Square Cavity ◽  
Turbulent Natural Convection ◽  
Side Walls ◽  
Volume Method ◽  
Calculation Code

In this paper, we study the heat transfer in turbulent natural convection in a two- dimensional cavity with a trapezoidal section and isoscales filled out of air with as height H =2.5 m. In these conditions, the side walls are differentially heated while the horizontal walls are adiabatic. The k-ε turbulence model with a small Reynolds number was integrated in our calculation code. The governing equations of the problem were solved numerically by the commercial CFD code Fluent; which is based on the finite volume method and the Boussinesq approximation. The elaborated model is validated from the experimental results in the case of the turbulent flow in a square cavity. Then, the study was related primarily to the influence of the slope of the side walls of the cavity on the dynamic behavior and the heat transfer within the cavity.

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