Influence of the Slope Angle on the Transient Natural Convection of a Newtonian Fluid Delimited by Portions of Cylinders

Omar Ngor Thiam(1*), Samba Dia(2), Joseph Sarr(3)

(1) Fluid Mechanics and Dynamic Systems Group of the Fluid Mechanic and Application Laboratory of the Dakar University., Senegal
(2) Fluid Mechanics and Dynamic Systems Group of the Fluid Mechanic and Application Laboratory of the Dakar University, Senegal
(3) Professor, Faculty of Science and Techniques, Cheikh Anta Diop of Dakar (Senegal), Senegal
(*) Corresponding author

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Effects of the inclination angle fi on a two dimensional natural convection in an enclosure delimited by portions of cylinders has been analyzed numerically. The Rayleigh number and the angle of inclination are used as control parameters for flow and heat transfer. fi was varied from 0 to pi, for a range of Rayleigh number from 105 to 107. The governing equations are solved with finite difference method with a purely implicit scheme for time discretization. The algebraic systems of equations are solved by a Successive Under Relaxation (SUR) method. The results showed that if the transition from a pseudo-conductive regime to a convective one is slightly affected by fi, the thermal and dynamical fields  are very different according to whether fi is superior or equal to pi/2
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Angle of Inclination; Bicylindrical Coordinates; Convection; Heat Transfer

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J. Sarr, M. Sall, M. M. Kane, B. Ba and M. Daguenet, Numerical natural convection in a sector-shaped enclosure, International Journal of Numerical Methods for Heat and Fluid Flow, vol.11 n. 4, 2001, pp. 342-357.

Y. D. Zhu, C. Shu, J. Qiu, and J. Tani, Numerical Simulation of natural convection between two elliptical cylinders using DQ method, International Journal of Heat and Mass Transfer, 47, 2004, pp. 797-808.

M. Djezzar and M. Daguenet, Numerical study of bidimensional steady natural convection in a space annulus between two elliptic confocal ducts. 1ST International Conference on Thermal Engineering Theory and Applications. Beïrut-Lebanon, du 31 May au 04 June 2004.

N.A. Roschina, A.V. Uvarov and A.I. Osipov, Natural convection in an annulus between coaxial horizontal cylinders with internal heat generation, International Journal of Heat and Mass Transfer, vol.48, 2005, pp. 4518–4525.

M. Djezzar, A. Chaker and M. Daguenet, Numerical Study of Bidimensional Steady Natural Convection in a Space Annulus Between Two Elliptic Confocal Ducts Influence of the Internal Eccentricity, Rev. Energ. Ren, Vol. 8, 2005, pp. 63 – 72.

Y. Shi, T.S. Zhao and Z.L. Guo, Finite difference-based Lattice Boltzmann simulation of natural convection heat transfer in a horizontal concentric annulus, J. Computers & Fluids, vol. 35, 2006, pp: 1–15.

M. Djezzar, M. Daguenet, Natural steady convection in a space annulus between two elliptic confocal ducts. Influence of the slope angle. Journal of Applied Mechanics Transaction of the ASME, vol 72, January 2006.

T. Kassem, Numerical study of the natural convection process in the parabolic–cylindrical solar collector, Desalination 209, 2007, pp.144–150.

C. Ghernoug and M. Djezzar, Numerical approach of the natural convection in the annular space delimited by two horizontal eccentric cylinders: relative eccentricity effect, Sciences & Technologie, A –n 30, December 2009, pp. 23-30.

W. M. Abed, A. J. Shareef, A. A. Najeeb, Natural Convection Heat Transfer in Horizontal Concentric Annulus between Outer Cylinder and Inner Flat Tube, Anbar Journal for Engineering Sciences(AJES), vol.3 n .2, 2010, pp.31-45.

M. Sankar, Youngyong Park, J.M. Lopez, Younghae Do, Numerical study of natural convection in a vertical porous annulus with discrete heating, International Journal of Heat and Mass Transfer,vol.54 ,2011, pp.1493–1505.

P. Moon, and E. Spencer, Field theory Handbook, Springer, (Berlin, 1971, P. 349)

A.Bejan, Convection Heat Transfer (John Wiley & Sons, 2004, p 673)

S.V. Patankar, Numerical Heat Transfer and fluid flow, (McGraw-Hill book company, New York, 1980).

Sidik, N.A.C., Masoud, G., Solution to natural convection heat transfer by two different approaches: Navier stokes and lattice Boltzmann, (2012) International Review of Mechanical Engineering (IREME), 6 (4), pp. 705-711.

Dingare, S.V., Sane, N.K., Kulkami, R.R., Computational analysis of effect of positioning pins on natural convection heat transfer in horizontal rectangular plate fin pin fin arrays, (2011) International Review of Mechanical Engineering (IREME), 5 (3), pp. 497-504.

Shahriari, A.R., Jafari, S., Rahnama, M., Behzadmehr, A., Effect of nanofluid variable properties on natural convection in a square cavity using Lattice Boltzmann Method, (2013) International Review of Mechanical Engineering (IREME), 7 (3), pp. 442-452.


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