Share This Article:

Modelling Turbulent Heat Transfer in a Natural Convection Flow

Abstract Full-Text HTML Download Download as PDF (Size:3768KB) PP. 662-670
DOI: 10.4236/jamp.2014.27073    4,196 Downloads   5,661 Views   Citations

ABSTRACT

In this paper a numerical study of a turbulent, natural convection problem is performed with a compressible Large-Eddy simulation. In a natural convection the fluid is accelerated by local density differences and a resulting pressure gradient. Directly at the heated walls the temperature distribution is determinate by increasing temperature gradients. In the centre region convective mass exchange is dominant. Density changes due to temperature differences are considered in the numerical model by a compressible coupled model. The obtained numerical results of this study are compared to an analogue experimental setup. The fluid properties profiles, e.g. temperature and velocity, show an asymmetry which is caused by the non-Boussinesq effects of the fluid. The investigated Rayleigh number of this study lies at Ra = 1.58 × 109.

 

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Zimmermann, C. and Groll, R. (2014) Modelling Turbulent Heat Transfer in a Natural Convection Flow. Journal of Applied Mathematics and Physics, 2, 662-670. doi: 10.4236/jamp.2014.27073.

References

[1] Tian, Y.S. and Karayiannis, T.G. (2000) Low Turbulence Natural Convection in an Air Filled Square Cavity, Part I: The Thermal and Fluid Flow Fields. International Journal of Heat and Mass Transfer, 43, 849-866.
http://dx.doi.org/10.1016/S0017-9310(99)00199-4
[2] Sutherland, W. (1893) The Viscosity of Gases and Molecular Force. Philosophical Magazine, Series 5, 36, 507-531.
http://dx.doi.org/10.1080/14786449308620508
[3] Fureby, C. (1996) On Subgrid Scale Modeling in Large Eddy Simulations of Compressible Fluid Flow. Physics of Fluids, 8, 1301-1311. http://dx.doi.org/10.1063/1.868900
[4] Vreman, B. (1995) Direct and Large-Eddy Simulation of the Compressible Turbulent Mixing Layer. Ph.D. Thesis, University of Twente, Enschede.
[5] Kenjeres, S. and Hanjalic, K. (1999) Transient Analysis of Rayleigh-Bénard Convection with a RANS Model, International Journal of Heat and Fluid Flow, 20, 329-340.
http://dx.doi.org/10.1016/S0142-727X(99)00007-7
[6] Sergent, A., Joubert, P. and Quéré, P. Le (2003) Development of a Local Subgrid Diffusivity Model for Large-Eddy Simulation of Buoyancy Driven Flows: Application to a Square Differentially Heated Cavity. Numerical Heat Transfer, Part A: Applications, 44, 789-810.
[7] Shishkina, O. and Wagner, C. (2008) Analysis of Sheet-Like Thermal Plumes in Turbulent Rayleigh-Bénard Convection. Journal of Fluid Mechanics, 599, 383-404. http://dx.doi.org/10.1017/S002211200800013X
[8] Shishkina, O. and Thess, A. (2009) Mean Temperature Profiles in Turbulent Rayleigh-Bénard Convection of Water. Journal of Fluid Mechanics, 633, 449-460. http://dx.doi.org/10.1017/S0022112009990528
[9] Kosovic, B., Pullin, D.I. and Samtaney, R. (2002) Subgrid-Scale Modeling for Large-Eddy Simulations of Compressible Turbulence, Physics of Fluids, 14, 1511-1522. http://dx.doi.org/10.1063/1.1458006
[10] Erlebacher, G., Hussaini, M.Y., Speziale, C.G. and Zang, T.A. (1992) Toward the Large-Eddy Simulation of Compressible Turbulent Flows. Journal of Fluid Mechanics, 238, 155-185.
http://dx.doi.org/10.1017/S0022112092001678
[11] Gifford, W.A. (1991) Natural Convection in a Square Cavity without the Boussinesq-Approximation. 49th Annual Technical Conference-ANTEC’91, Montreal, 5-9 May 1991, 2448-2454.
[12] Mergui, S., Penot, F. and Tuhault, J.H. (1993) Experimental Natural Convection in an Air-Filled Square Cavity at . In: Henkes, R.A.W.M. and Hoogendoorn, C.J., Eds., Turbulent Natural Convection in Enclosures—A Computational and Experimental Benchmark Study, Proceedings of the Eurotherm Seminar no 22, Editions Européennes Thermique et Industrie, Paris, 9-108.
[13] King, K.J. (1989) Turbulent Natural Convection in Rectangular Air Cavities. Ph.D. Thesis, Queen Mary and Westfield College, University of London, London, UK.

  
comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.