A numerical study of natural convection in an inclined square enclosure with an elliptic cylinder using variational multiscale element free Galerkin method

Zhang, Ping; Zhang, Xiangcheng; Deng, Jiheng; Song, Laizhong

doi:10.1016/j.ijheatmasstransfer.2016.04.011

Cited by 64 publications

(14 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To validate the numerical mesoscopic simulation, the results of free convection in square with hot circular obstacle were compared with previous works . These figures can help to analyze the characteristics of flow, heat conduction, and heat convection.…”

Section: Resultsmentioning

confidence: 99%

“…Knowing that curved boundary treatments allow a means of elaborating the computational accuracy of the conventional stairshaped approximation used in LBM simulations. In fact, several approaches have been recommended for dealing with curved complex boundaries (Figures and ) .

Δ = ‖ {\overset{x}{true}}_{f} - {\overset{x}{true}}_{w} ‖ / ‖ {\overset{x}{true}}_{f} - {\overset{x}{true}}_{b} ‖

is the portion of the overlapped connection in the fluid section (Figure ).…”

Section: Curved Boundary Treatmentmentioning

confidence: 99%

See 1 more Smart Citation

Mesoscopic approach for steady‐state free convection in a diamond array

Chaabane

Askri

Jemni

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

The purpose of the present paper is testing an in-house efficiency algorithm based on lattice Boltzmann method (LBM) and using it to resolve the obtained coupled nondimensional governing equations to analyze twodimensional free convection inside a cold outer cavity subjected to a heated cylindrical diamond array. Steady state or oscillatory results are obtained using the Bhatnagar-Gross-Krook collision model associated to the thermal LBM. Both the velocity and temperature fields are solved using the D2Q9 models. With different Rayleigh numbers (Ra), the tested free convection can either achieve to steady state or oscillatory. We extended our in house Fortran 90 code using curved boundary conditions and implemented them into a cavity with a diamond array. The numerical simulations were done using distinct Ra (10 6 and 10 7 ) and distances ε 0.3 0.7 ≤ ≤ between the four neighboring circular cylinders aligned in a diamond array. The effects of several physical parameters, including Ra and position of the hot body array on flow and heat transfer characteristics are investigated. The obtained results are highlighted in the form of streamlines, isotherms, and velocities plots. We show in this paper the stability and the efficiency of the LBM to deal with a complex geometry and its ability to reach suitable convergence criteria for high Ra (10 6 and 10 7 ). The numerical results indicate that LBM can simulate numerical problems with a high Ra reaching a steady state where we can Heat Transfer-Asian Res. 2019;48:896-913. wileyonlinelibrary.com/journal/htj 896 | depict the change of the flow pattern and enhancement of the heat transfer in the presence of heated diamond array. K E Y W O R D S CFD, convection, curved boundary, diamond array, heat transfer, lattice Boltzmann method (LBM) | INTRODUCTIONNowadays, numerical studies of flow and thermal fields inside enclosed and confined space with assorted bodies in different positions on the Buoyancy-induced dynamic and thermal transfer characteristics have been the focus of numerous investigations in industry and academia owing to the diversity engineering applications such as energy engineering, heat exchangers, solar collector receivers, chemical reactors, pipes, nuclear and chemical reactors, refrigerator condensers bearing lubrication, cooling of electronic equipment, solar collector-receivers, air refrigeration, refrigerator condensers, insulation, and flooding protection for buried pipes used for district heating and cooling, cooling systems in nuclear reactors, etc. [1][2][3][4][5][6][7][8][9][10][11][12][13] These studies were motivated by the desire to understand the fundamental physics and free convection characterization inside the cavity that can be influenced and affected by the sizes and shapes of the interior bodies, their number, position, arrangement, and also the configuration of the cavity. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] So, due to its substantial significance, heat transfer with free convection in presence of heating cylin...

show abstract

Section: Resultsmentioning

confidence: 99%

Δ = ‖ {\overset{x}{true}}_{f} - {\overset{x}{true}}_{w} ‖ / ‖ {\overset{x}{true}}_{f} - {\overset{x}{true}}_{b} ‖

is the portion of the overlapped connection in the fluid section (Figure ).…”

Section: Curved Boundary Treatmentmentioning

confidence: 99%

Mesoscopic approach for steady‐state free convection in a diamond array

Chaabane

Askri

Jemni

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…This section summarized the convection heat transfer due to the density difference between the inner body located within the elliptical enclosure [54][55][56][57][58] as shown in Fig. 7.…”

Section: Ellipticalmentioning

confidence: 99%

“…The results explained that increasing Rayleigh number, nanoparticle, and inclination angle leads to an increase in the Nusselt number. Zhang et al [55] investigated the natural convection between the hot elliptical inner body inside the cold square enclosure using a variational multiscale element scheme. The parameters were the major axis of the inner ellipse, Rayleigh number, and the inclination angle of the square enclosure.…”

Section: Ellipticalmentioning

confidence: 99%

Comprehensive Review of Natural Convection Heat Transfer in Annulus Complex Enclosures

Abdulkadhim

Al‐Farhany

Abed

et al. 2020

QJES

View full text Add to dashboard Cite

The natural convection heat transfer has many applications in engineering like solar collectors, cooling of electronic equipment and geothermal engineering. The present work demonstrates the recent publications in the last ten years in this specific subject for a body located in complex shapes like rhombic, wavy, trapezoidal, elliptical and Parallelogrammic enclosure. Many parameters like Ra, Nu, number of undulations, the position of the inner body had been addressed and discuss to draw the main conclusions and recommendations. It is worthy to mention that wavy enclosure had been investigated less than the other simple enclosure shapes due to its complexity. Beside that entropy generation should be included in the future studies in complex shapes of enclosure as this will helps the researchers to extended their studies. The inner bodies inside trapezoidal, parallelogrammic enclosure are very limited and more investigation should be done.

show abstract

“…In addition, a novel equation for predicting Nusselt number was proposed. Zhang et al 24 carried out numerical simulation of steady-state natural convection in a cold outer square enclosure containing a hot inner elliptic cylinder by using the variational the square cavity, major axis of the inner cylinder, and Ra number on the flow field and temperature field are investigated. Authors concluded that the magnitude of major axis and Ra number have remarkable effects on the streamlines, temperature contours, vortex formation in the enclosure.…”

Section: Introductionmentioning

confidence: 99%

Study on natural convection heat transfer in a closed cavity with hot and cold tubes

Zheng

Zhang

et al. 2021

Science Progress

View full text Add to dashboard Cite

Laminar natural convection with a pair of hot and cold tube in a closed cubic cavity is carried out. This configuration can be founded in performance of nuclear power plant containment passive residual heat removal system. The basic government aquations are sloved by means of finite volume method. The effect of Ra number (103–106), shape of tube and spatial position on local and mean heat transfer characteristics is studied. It is found that the Nu number increased when raising Ra number. The Nu number is higher when the shapes are circle and triangle. In adddition, it is founded that the heat transfer has a better effect when the cold tube locates above the hot tube among the five spatial positions. The results provides theoretical basis for performance of nuclear power plant containment passive residual heat removal system.

show abstract

A numerical study of natural convection in an inclined square enclosure with an elliptic cylinder using variational multiscale element free Galerkin method

Cited by 64 publications

References 26 publications

Mesoscopic approach for steady‐state free convection in a diamond array

Mesoscopic approach for steady‐state free convection in a diamond array

Comprehensive Review of Natural Convection Heat Transfer in Annulus Complex Enclosures

Study on natural convection heat transfer in a closed cavity with hot and cold tubes

Contact Info

Product

Resources

About