Numerical Simulation of Natural Convection in a Vertical Conical Cylinder Partially Annular Space

Belkacem OULD SAID¹, Noureddine RETIEL^1, and El Hadi BOUGUERRA²

¹Laboratory Numerical and Experimental Modeling of Mechanical phenomena, Mechanical Engineering Department, Abdelhamid Ibn Badis University, Mostaganem, Algeria

²Mechanical Engineering Department, Saad Dahlab University, Blida, Algeria.

Cite this paper:
Belkacem OULD SAID, Noureddine RETIEL and El Hadi BOUGUERRA. Numerical Simulation of Natural Convection in a Vertical Conical Cylinder Partially Annular Space. American Journal of Energy Research. 2014; 2(2):24-29. doi: 10.12691/ajer-2-2-1

Abstract

The present paper is dedicated to the numerical simulation of thermal convection in a two dimensional vertical conical cylinder partially annular space. The governing equations of mass, momentum and energy are solved using the CFD FLUENT code. The results of streamlines and the isotherms of the fluid are discussed for different annuli with various boundary conditions and Rayleigh numbers. Emphasis was put on the height of the inner vertical cylinder influence on the flow and the temperature distribution. More, the effects on the heat transfer are analyzed for different values of the fluid’s physical parameters in the annulus geometry. The heat transfer on the hot wall of the annulus is also computed in order to make comparisons the cylinder annulus for boundary conditions and several Rayleigh numbers. The obtained results in terms of Nusselt number has been found between the present previsions and available data from the published literature data.

Keywords:
natural convection heat transfer numerical simulation conical cylinder partially annular CFD fluent

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	Sridhar, A. and Reddy, K.S., Transient analysis of modified cuboid solar integrated-collector-storage system, Applied Thermal Engineering., Vol. 27, 330-346, 2007.
[2]	Wang, S.G. and Li, T. Y. and Hsu, P.T. and Kaohsiung and Taiwan, Natural convection of micropolar fluid in a partially divided enclosure, Acta Mechanica., Vol. 136, 41-53, 1999.
[3]	He, 5TY. L. and Yang, 5TW. W5T. And Tao, W. Q., Three-Dimensional Numerical Study of Natural Convective Heat Transfer of Liquid in a Cubic Enclosure, Numerical Heat Transfer Part A Applications., Vol. 47, 917-934, 2005.
[4]	Dixit, H.N., Babu,V., Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method, International Journal of Heat and Mass Transfer. Vol. 49, 727-739, 2006.
[5]	Ganguli, A.A. and Pandit, A. B. and Joshi, J. B., CFD simulation of heat transfer in a two-dimensional vertical enclosure, Chemical Engineering Research and Design, Vol. 87, 711-727, 2009.
[6]	Aounallah, M. and Addad, Y. and Benhamadouche, S. and Imine, O. and Adjlout, L. and Laurence, D., Numerical investigation of turbulent natural convection in an inclined square cavity with a hot wavy wall, International Journal of Heat and Mass Transfer, Vol. 50, 1683-1693, 2007.
[7]	Varol, Y. and Oztop, H. F. and Pop, I., 5TNatural convection in right-angle porous trapezoidal enclosure partially cooled from inclined wall, International Communications in Heat and Mass Transfer, Vol. 36, 6-15, 2009.
[8]	Fuad Kent, E. and Asmaz, E. and Ozerbay, S., Laminar natural convection in right triangular enclosures, Heat and Mass Transfer, Vol. 44, 187-200, 2007.
[9]	Hajri, I. and Omri, A. and Ben Nasrallah, S., A numerical model for the simulation of double-diffusive natural convection in a triangular cavity using equal order and control volume based on the finite element method, Desalination, Vol. 206,5T 579-588, 2007.
[10]	Varol, Y. and Oztop, H.F. and Yilmaz, T., 5Natural convection in triangular enclosures with protruding isothermal heater, International Journal of Heat and Mass Transfer, Vol. 505T, 2451-2462, 2007.
[11]	Hadjadj, A. and Maamir, S. and Zeghmati, B., A new study of laminar natural convection in two concentric vertical cylinders, Heat and Mass Transfer, Vol. 35, 113-121, 1999.
[12]	Venkata Reddy, P. and Narasimhamn, G. S. V. L., Natural convection in a vertical annulus driven by a central heat generating rod, International Journal of Heat and Mass Transfer, Vol. 51, 5024-5032, 2008.
[13]	Hamad, F.A. and Khan, M.K., Natural convection heat transfer in horizontal and inclined annuli of different diameter ratios, Energy Conversion and Management, Vol. 39, 797-807, 1998.
[14]	Padilla, E.L.M. and Silveira-Neto, A., Large-eddy simulation of transition to turbulence in natural convection in a horizontal annular cavity, International Journal of Heat and Mass Transfer, Vol. 51, 3656-3668, 2008.
[15]	Habibi Matin, M. and Pop, I., 2013, Natural convection flow and heat transfer in an eccentric annulus filled by Copper nanofluid, International Journal of Heat and Mass Transfer, Vol.5T615T, 353-364, 2008.
[16]	Salman, N.J.A. and Irfan, A.B. and Zainal, Z.A. and Khaleed, H.M.T. and Jeevan, K., Heat transfer in a conical cylinder with porous medium, International Journal of Heat and Mass Transfer, Vol. 52, pp, 3070-3078., 2009.
[17]	G. de Vahl Davis5T9T, 9T5TR. W. Thomas5T, 11TNatural Convection between Concentric Vertical Cylinders”, 11T5TPhysics of Fluids5T12T, Vol. 12, 198-207 1969
[18]	Kumar, R. and Kalam, M.A., Laminar Thermal Convection between Vertical Coaxial Isothermal Cylinders”. International Journal of Heat and Mass Transfer, Vol. 34, 513-524, 1991.