TY - JOUR
ID - 481
TI - Analysis of Turbulent Natural Convection by an Elliptic Relaxation Model in Tall Vertical Cavities with Linear Temperatures on Sidewalls
JO - Journal of Applied Fluid Mechanics
JA - JAFM
LA - en
SN - 1735-3572
AU - El Moutaouakil, L.
AU - Zrikem, Z.
AU - Abdelbaki, A.
AD - Cadi Ayyad University, Faculty of Sciences Semlalia (LMFE), BP 2390, Marrakech 40000, Morocco
Y1 - 2017
PY - 2017
VL - 10
IS - 3
SP - 847
EP - 859
KW - Turbulent natural convection
KW - Tall vertical cavity
KW - Linear temperature
KW - v^2
KW - f model
KW - Heatlines
KW - Simplified calculation tool
DO - 10.18869/acadpub.jafm.73.240.26388
N2 - Turbulent natural convection of air is studied, by the elliptic-relaxation model v^2-f, in a tall vertical cavity whose hot and cold walls are maintained at linear temperatures of slopes γ_1 and γ_2, respectively. The average temperatures of the active walls are located at mid-height of the cavity. Four situations are analyzed, corresponding to γ_1=γ_2=γ (case I), γ_1=-γ_2=γ (case II), γ_1=0 and γ_2=γ (case III), γ_1=γ and γ_2=0 (case IV). These boundary conditions may be more representative or used to control heat transfer for certain systems. The effects of the slope (-1≤γ≤1), the aspect ratio of the cavity (10≤A≤80) and the average Rayleigh number (5×〖10〗^4≤〖Ra〗_m≤〖10〗^6 ) on the streamlines, isotherms, contours of the turbulent kinetic energy, heatlines, local and average Nusselt numbers are investigated. It is shown that the local and average heat transfers of cases III and IV can be deducted from those of cases I and II. The obtained dynamic and thermal fields as well as local and average heat transfers of the studied cases are quite different of those of the classical case corresponding to γ=0. A simplified procedure for calculating the average Nusselt number is also developed for each case.
UR - https://www.jafmonline.net/article_481.html
L1 - https://www.jafmonline.net/article_481_72db105bd810283cc015943604b3f71b.pdf
ER -