Paper Titles

Soret and Dufour Effects on MHD Mixed Convection Flow over a Vertical Plate with Variable Fluid Properties
p.1

Magnetohydrodynamics (MHD) Heat and Mass Transfer of Casson Fluid Flow Past a Semi-Infinite Vertical Plate with Thermophoresis Effect: Spectral Relaxation Analysis
p.18

Effect of Surface Radiation on Free Convection in Vertical Cylinders Partially Annular
p.36

Influence of Non-Uniform Heat Source/Sink on Unsteady Chemically Reacting Nanofluid Flow over a Cone and Plate
p.50

Simultaneous Convection of Carreau Fluid with Radiation Past a Convectively Heated Moving Plate
p.60

Unsteady MHD Flow of Radiating and Rotating Fluid with Hall Current and Thermal Diffusion Past a Moving Plate in a Porous Medium
p.71

Unsteady Squeezing Flow and Mass Transfer in a Channel with Temporal Width
p.86

Chemical Reaction Effect on MHD Flow of Casson Fluid with Porous Stretching Sheet
p.100

HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 389Effect of Surface Radiation on Free Convection in...

Effect of Surface Radiation on Free Convection in Vertical Cylinders Partially Annular

Article Preview

Abstract:

The coupled of free convection with surface radiation in an annular region of two concentric vertical cylinders filled with air has been numerically investigated. The steady-state continuity, Navier–Stokes and energy equations were carried out by the finite volume method, and the Discrete Ordinates Method (DOM) was used to solve the radiative heat transfer equation (RTE). The computations have been performed for 10³ ≤Ra≤ 10⁶, with the emissivity coefficient of all the walls varying between 0 and 1. The influence of the both, Rayleigh numbers and emissivity coefficient of the wall for fixed height ratio X=0.5 on natural convection and radiation heat transfer in enclosure have been solved. The result shows that surface radiation significantly altered the temperature distribution and the flow patterns, especially at higher Rayleigh numbers. The average Nusselt number has also been discussed for different emissivity through the enclosure.

You might also be interested in these eBooks

Transfer Phenomena in Fluid and Heat Flows VI

Info:

Periodical:

Defect and Diffusion Forum (Volume 389)

Pages:

36-49

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.389.36

Citation:

Cite this paper

Online since:

November 2018

Authors:

Belkacem Ould Said, Mohamed Amine Medebber, Noureddine Retiel

Keywords:

Average Nusselt Number, Coordinate Cylinder, Discrete Ordinates Method (DOM), Finite Volume Method, Free Convection, Partially Annular Caviy, Radiative Transfer Equation (RTE), Surface Radiation

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

[1] A. Yücel, S. Acharya, M. Williams. Natural convection and radiation in a square enclosure, Numer. Heat Transf., Part A 15 (1989) 261-278.

DOI: 10.1080/10407788908944688

[2] G. Colomer, R. Cònsul, A. Oliva. Coupled radiation and natural convection: different approaches of the SLW model for a non-gray gas mixture, J. Quant. Spectrosc. Radiat. Transf. 107 (2007) 30-46.

DOI: 10.1016/j.jqsrt.2006.12.011

[3] V.P. Solovjov, B.W. Webb. SLW modeling of radiative transfer in multicomponent gas mixtures, J. Quant. Spectrosc. Radiat. Transf. 65 (2000) 655-672.

DOI: 10.1016/s0022-4073(99)00133-8

[4] D.A. Kontogeorgos, E.P. Keramida, M.A. Founti. Assessment of simplified thermal radiation models for engineering calculations in natural gas-fired furnace, Int. J. Heat Mass Transf. 50 (2007) 5260-5268.

DOI: 10.1016/j.ijheatmasstransfer.2007.06.011

[5] B. Dubroca, M. Seaïd, I. Teleaga, A consistent approach for the coupling of radiation and hydrodynamics at low Mach number, J. Comput. Phys. 225 (2007) 1039-1065.

DOI: 10.1016/j.jcp.2007.01.011

[6] A. Mezrhab, D. Lemonnier, S. Meftah, A. Benbrik, Numerical study of double diffusion convection coupled to radiation in a square cavity filled with a participating grey gas, J. Phys. D: Appl. Phys. 41 (2008) 1-16.

DOI: 10.1088/0022-3727/41/19/195501

[7] C.Y. Han. Hydromagnetic free convection of a radiating fluid, Int. J. Heat Mass Transf. 52 (2009) 5895-5908.

DOI: 10.1016/j.ijheatmasstransfer.2009.08.010

[8] L.C. Chang, K.T. Yang, J.R. Lloyd. Radiation-natural convection interactions in two-dimensional complex enclosures, J. Heat Transf. 105 (1983) 89-95.

DOI: 10.1115/1.3245564

[9] Chong LC, Yang KT, Lloyd JR. Radiation–natural convection interactions in two-dimensional complex enclosures. ASME J Heat Transfer 105(1) (1983) 89–95.

DOI: 10.1115/1.3245564

[10] Siegel R, Howell JR. Thermal radiation heat transfer, 2nd edn. Mc Graw-Hill, Hemisphere, New York, (1981).

[11] Modest MF. Radiative heat transfer, 2nd edn. Academic, California, (2003).

[12] Lari K, Baneshi M, Nassab SAG, Komiya A, Maruyama S. Combined heat transfer of radiation and natural convection in a square cavity containing participating gases, Int J Heat Mass Transf 54(50) (2011) 87-99.

DOI: 10.1016/j.ijheatmasstransfer.2011.07.026

[13] Webb BW, Viskanta R. Analysis of radiation-induced natural convection in a rectangular enclosure, J Thermophys Heat Transf 1 (2) (1987) 146–153.

[14] Balaji C, Venkateshan SP. Interaction of surface radiation with free convection in a square cavity. Int J Heat Fluid Flow 14(3) (1993) 260–267.

DOI: 10.1016/0142-727x(93)90057-t

[15] Balaji C, Venkateshan SP, Correlations for free convection and surface radiation in a square cavity, Int J Heat Fluid Flow 15(3) (1994) 249–251.

DOI: 10.1016/0142-727x(94)90046-9

[16] Akiyama M, Chong QP. Numerical analysis of natural convection with surface radiation in a square enclosure, Num Heat Transf A 31 (1997) 419–433.

DOI: 10.1080/10407789708913899

[17] Colomer G, Costa M, Consul R, Oliva A. Three dimensional numerical simulation of convection and radiation in a differentially heated cavity using the discrete ordinates method, Int J Heat Mass Transf 47 (2004) 257–269.

DOI: 10.1016/s0017-9310(03)00387-9

[18] Wang Y, Meng X, Yang X, Liu J, Influence of convection and radiation on the thermal environment in an industrial building with buoyancy-driven natural ventilation, Energy Build 75 ( 2014) 394-401.

DOI: 10.1016/j.enbuild.2014.02.031

[19] Martyushev SG, Sheremet MA. Conjugate natural convection combined with surface thermal radiation in an air filled cavity with internal heat source, Int J Therm Sci 76 (2014) 51-67.

DOI: 10.1016/j.ijthermalsci.2013.08.012

[20] Martyushev SG, Sheremet MA, Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source, Int J Heat Mass Transf 73 (2014) 340-353.

DOI: 10.1016/j.ijheatmasstransfer.2014.02.009

[21] P.W. Shipp, M. Shoukri, and M.B. Carver, Double-diffusive natural convection in a closed annulus, Numerical Heat Transfer, Part A, Vol.24, 1993, pp.339-356.

DOI: 10.1080/10407789308902625

[22] M. A. Medebber and N. Retiel. Numerical Study of Double Diffusive Convection within the Annular Region of Two Concentric Vertical Cylinders, Defect and Diffusion Forum, Vol. 374 (2017) 1-17.

DOI: 10.4028/www.scientific.net/ddf.374.1

[23] M. Sankar, S. Kiran, G.K. Ramesh, O.D. Makinde. Natural Convection in a Non-Uniformly Heated Vertical Annular Cavity, Defect and Diffusion Forum, Vol. 377 (2017) 189-199.

DOI: 10.4028/www.scientific.net/ddf.377.189

[24] M.Y. Kim, S.W. Baek. Modeling of radiative heat transfer in an axisymmetric cylindrical enclosure with participating medium, Journal of Quantitative Spectroscopy & Radiative Transfer 90 (2005) 377–388.

DOI: 10.1016/j.jqsrt.2004.04.009

[25] Czarnota T, Wagnera C. Turbulent convection and thermal radiation in a cuboidal Rayleigh Benard cell with conductive plates, Int J Heat Fluid Flow;57 (2016) 150-72.

DOI: 10.1016/j.ijheatfluidflow.2015.10.006

[26] Dua, S. S. and Cheng, P. Multi-Dimensional Radiative Transfer in Non-isothermal Cylindrical Media with Non-isothermal Bounding Walls, Int. J. Heat Mass Transfer, Vol. 18, (1975) 245-259.

DOI: 10.1016/0017-9310(75)90157-x

[27] G.De Vahl Davis, R.W. Thomas. Natural convection between concentric vertical cylinders, High Speed Computing in Fluid Dynamics, Physics of Fluids, 1969, Supplement II, pp.198-207.

DOI: 10.1063/1.1692437