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Chi-Wang Shu, Y. Zhu (2002)
Efficient computation of natural convection in a concentric annulus between an outer square cylinder and an inner circular cylinderInternational Journal for Numerical Methods in Fluids, 38
S. Hussain, A. Hussein (2010)
Numerical investigation of natural convection phenomena in a uniformly heated circular cylinder immersed in square enclosure filled with air at different vertical locationsInternational Communications in Heat and Mass Transfer, 37
E. Lemmon, R. Jacobsen, S. Penoncello, D. Friend (2000)
Thermodynamic Properties of Air and Mixtures of Nitrogen, Argon, and Oxygen From 60 to 2000 K at Pressures to 2000 MPaJournal of Physical and Chemical Reference Data, 29
David Brown, R. Cortez, M. Minion (2001)
Accurate projection methods for the incompressible Navier—Stokes equationsJournal of Computational Physics, 168
Kaouther Ghachem, Lioua Kolsi, Chamseddine Mâatki, A. Hussein, M. Borjini (2012)
Numerical simulation of three-dimensional double diffusive free convection flow and irreversibility studies in a solar distillerInternational Communications in Heat and Mass Transfer, 39
Ruxin Dai, Yin Wang, Jun Zhang (2013)
Fast and high accuracy multiscale multigrid method with multiple coarse grid updating strategy for the 3D convection-diffusion equationComput. Math. Appl., 66
B. Beya, T. Lili (2009)
Transient natural convection in 3D tilted enclosure heated from two opposite sidesInternational Communications in Heat and Mass Transfer, 36
H. Yang, K. Yang, J. Lloyd (1987)
Laminar natural-convection flow transitions in tilted three-dimensional longitudinal rectangular enclosuresInternational Journal of Heat and Mass Transfer, 30
N. Ghaddar, F. Thiele (1994)
Natural Convection Over a Rotating Cylindrical Heat Source in a Rectangular EnclosureNumerical Heat Transfer Part A-applications, 26
J. Ravnik, L. Skerget (2015)
A numerical study of nanofluid natural convection in a cubic enclosure with a circular and an ellipsoidal cylinderInternational Journal of Heat and Mass Transfer, 89
G. Davis (1983)
Natural convection of air in a square cavity: A bench mark numerical solutionInternational Journal for Numerical Methods in Fluids, 3
Ankur Kumar, J. Joshi, A. Nayak, P. Vijayan (2014)
3D CFD simulation of air cooled condenser-I: Natural convection over a circular cylinderInternational Journal of Heat and Mass Transfer, 78
International Journal of Heat and Mass Transfer, 51
B. Beya, T. Lili (2008)
Three-dimensional incompressible flow in a two-sided non-facing lid-driven cubical cavityComptes Rendus Mecanique, 336
A. Boutra, K. Ragui, N. Labsi, R. Bennacer, Y. Benkahla (2016)
Natural Convection Heat Transfer of a Nanofluid into a Cubical Enclosure: Lattice Boltzmann InvestigationArabian Journal for Science and Engineering, 41
Byeong-Su Kim, D. Lee, H. Yoon, Hyungoo Lee, M. Ha (2007)
A Numerical Study of Natural Convection in a Square Enclosure with a Circular Cylinder at Different Vertical LocationsTransactions of The Korean Society of Mechanical Engineers B, 31
D. Crunkleton, T. Anderson (2006)
A numerical study of flow and thermal fields in tilted Rayleigh–Bénard convectionInternational Communications in Heat and Mass Transfer, 33
Seyed Nabavizadeh, S. Talebi, M. Sefid, M. Nourmohammadzadeh (2012)
Natural convection in a square cavity containing a sinusoidal cylinderInternational Journal of Thermal Sciences, 51
F. Moukalled, S. Acharya (1996)
Natural convection in the annulus between concentric horizontal circular and square cylindersJournal of Thermophysics and Heat Transfer, 10
M. Ha, M. Jung (2000)
A numerical study on three-dimensional conjugate heat transfer of natural convection and conduction in a differentially heated cubic enclosure with a heat-generating cubic conducting bodyInternational Journal of Heat and Mass Transfer, 43
N. Cheikh, B. Beya, T. Lili (2007)
A multigrid method for solving the Navier–Stokes/Boussinesq equationsCommunications in Numerical Methods in Engineering, 24
J. Lee, M. Ha, H. Yoon (2010)
Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locationsInternational Journal of Heat and Mass Transfer, 53
A. Hussein, Kolsi Lioua, R. Chand, S. Sivasankaran, R. Nikbakhti, D. Li, B. Naceur, Ben Habib (2016)
Three-dimensional unsteady natural convection and entropy generation in an inclined cubical trapezoidal cavity with an isothermal bottom wallalexandria engineering journal, 55
R. Shyam, M. Sairamu, N. Nirmalkar, R. Chhabra (2013)
Free convection from a heated circular cylinder in confined power-law fluidsInternational Journal of Thermal Sciences, 74
D. Lo, D. Young, K. Murugesan, C. Tsai, M. Gou (2007)
Velocity–vorticity formulation for 3D natural convection in an inclined cavity by DQ methodInternational Journal of Heat and Mass Transfer, 50
A. Chorin (1997)
A Numerical Method for Solving Incompressible Viscous Flow ProblemsJournal of Computational Physics, 135
B. Souayeh, N. Ben-Cheikh, B. Ben-Beya (2017)
Effect of thermal conductivity ratio on flow features and convective heat transferParticulate Science and Technology, 35
Chemseddine Maatki, Kaouther Ghachem, Lioua Kolsi, A. Hussein, M. Borjini, H. Aissia (2016)
Inclination effects of magnetic field direction in 3D double-diffusive natural convectionAppl. Math. Comput., 273
Changyoung Choi, H. Cho, M. Ha, H. Yoon (2015)
Effect of circular cylinder location on three-dimensional natural convection in a cubical enclosureJournal of Mechanical Science and Technology, 29
A. Boutra, K. Ragui, R. Bennacer, Y. Benkahla (2016)
Three-dimensional fluid flow simulation into a rectangular channel with partitions using the lattice-Boltzmann methodEuropean Physical Journal-applied Physics, 74
H. Yoon, D. Yu, M. Ha, Y. Park (2010)
Three-dimensional natural convection in an enclosure with a sphere at different vertical locationsInternational Journal of Heat and Mass Transfer, 53
Journal of Computational Physics, 2
Umesh Awasarmol, A. Pise (2015)
An experimental investigation of natural convection heat transfer enhancement from perforated rectangular fins array at different inclinationsExperimental Thermal and Fluid Science, 68
S. Patankar (1981)
A Calculation Procedure for Two-Dimensional Elliptic SituationsNumerical Heat Transfer Part A-applications, 4
T. Hayase, J. Humphrey, R. Grief (1992)
A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation proceduresJournal of Computational Physics, 98
F. Pérez-Flores, C. Treviño, L. Martínez-Suástegui (2016)
Transient mixed convection heat transfer for opposing flow from two discrete flush-mounted heaters in a rectangular channel of finite length: Effect of buoyancy and inclination angleInternational Journal of Thermal Sciences, 104
A. Brandt, J. Dendy, H. Ruppel (1980)
The multigrid method for semi-implicit hydrodynamics codes☆Journal of Computational Physics, 34
A. Baïri, N. Laraqi, J. María (2007)
Numerical and experimental study of natural convection in tilted parallelepipedic cavities for large Rayleigh numbersExperimental Thermal and Fluid Science, 31
S. Tasnim, S. Mahmud, P. Das (2002)
Effect of aspect ratio and eccentricity on heat transfer from a cylinder in a cavityInternational Journal of Numerical Methods for Heat & Fluid Flow, 12
PurposeThe purpose of this paper is to examine numerically the three natural convection of air induced by temperature difference between a cold outer cubic enclosure and a hot inner cylinder. Simulations have been carried out for Rayleigh numbers ranging from 103 to 107 and titled angle of the enclosure from 0° to 90°. The developed mathematical model is governed by the coupled equations of continuity, momentum and energy, and is solved by finite volume method. The effects of cylinder inclination and Rayleigh number on fluid flow and heat transfer are presented. The distribution of isocontours of temperature and isosurfaces of velocity eventually reaches a steady state in the range of Rayleigh numbers between 103 and 107 for titled inclination of 90°; however, for the remaining inclinations, Rayleigh number must be in the range 103-106 to avoid unsteady state, which is manifested by the division of the area containing the maximum local heat transfer rate into three parts for a Rayleigh number equal to 107 and an inclination of 90°. We mention that instability study is not included in the present paper, which is solely devoted to three-dimensional calculations. Results also indicate that optimal average heat transfer rate is obtained for both high Rayleigh number of 106 and high inclination of 90° for the two cases of the inner cylinder and cubical enclosure.Design/methodology/approachThe manuscript deals with prediction of the three-dimensional natural convection phenomena in a cubical cavity induced by an isothermal cylinder at the center with different inclinations by simulating the flow using highly numerical methods such as finite volume method.FindingsIt is found that the local Nusselt number through active walls for titled inclination set at 90°, the symmetry of the flow is conserved and the area containing the maximum heat transfer is divided into three smaller areas situated near the upper portion of the wall, taking the maximum value. That may be due to the preparation of local occurrence of instabilities and bifurcation phenomena that appear for Ra > 107, which is not included in the present paper to save journal space. It was found also that an optimal heat transfer appears when the cylinder orientation becomes vertical (a = 90°). For this inclination, buoyancy forces act upward, corresponding to an aiding situation. In addition, heat transfer rate is increasing with Rayleigh numbers, so correlations of average Nusselt through the cubical cavity and the cylinder are established as function of two parameters (Ra, a). Comparisons of the numerical results with those obtained from all correlations show good agreements.Originality/valueTo the author’s knowledge, studies have thus far adressed three-dimensional cuboids enclosures induced by an inner shape which the location is changed. However, no study has examined three-dimensional natural convection between the inner isothermal cylinder and outer cooled cubical enclosure when the outer enclosure is tilted.
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Sep 4, 2017
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