Abstract
Several levels of truncation of the second-moment closure method have been explored in search for a simpler form of model which would enable satisfactory predictions of buoyancy-dominated turbulent flows, but still retain a form suitable for incorporation into the Navier-Stokes computer solver for complex geometries. The models have been tested by numerical computation of several external and internal buoyant flows including penetrative convection of an unstable mixed layer, thermal boundary layer on a heated vertical plate and natural convection in two-dimensional enclosures with mixed boundary conditions. Although higher order models produce generally better agreement with experiments, a computationally more convenient explicit algebraic expression for the turbulent heat flux in conjunction with the low-Re-number k and ε equations gave generally satisfactory predictions of the considered cases.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
André J. C., De Moor G., Lacarrere P., Therry G., du Vachat R. (1977): The clipping approximation and inhomogeneous turbulence simulation, Turbulent Shear Flows I, Springer, 307
Betts, P. L. Dafa’Alla A.A. (1986): Turbulent buoyant air Row in a tall rectangular cavity, Proc. ASME Meeting HTD 60: 83
Bowles A., Cheesewright R. (1989): Direct measurements of the turbulence heat flux in a large rectangular air cavity, Exp. Heat Transfer 2, 59
Cheesewright R. (1968): Turbulent natural convection from a vertical plane surface, J. Heat Transfer, 90, 1
Cheesewright R., King K. J., Ziai S. (1986): Experimental data for the validation of computer codes for the prediction of two-dimensional buoyant cavity flows, Proc. ASME Meeting HTD, 60, 75
Cheesewright R., King K. J. (1990): Stress distribution in natural convection in a rectangular air cavity, Proc. 9th ht. Heat Transfer Conf., 2, 161
Chu T. Y., Goldstein R. J. (1973): Turbulent convection in a horizontal layer of ‘water, J. Fluid Mech. 60: 141
Deardorff J. W., Willis G., E., Lilly D. K. (1969): Laboratory investigation of non-steady penetrative convection, J. Fluid Mech. 35: 7
Fusegi T., Farouk B. (1989): Laminar and turbulent natural convection, Numerical Heat Transfer 15: 303
Gibson M. M. Launder B.E. (1976): On the calculation of horizontal, turbulent, free shear flows under gravitational influence, J. Heat Transfer 98:81
Hanjalie K., Launder B.E. (1976): Contribution towards a Reynolds-stress closure for low-Reynoldsnumber turbulence, J. Fluid Mech. 74/4: 593
Hanjalie K., Vasie S. (1990): Numerical simulation of free convection in single-and multiple-zone rectangular cavities, Proc. 9th Int. Heat Transfer Conf. 2, 579
Heslot F., Castaing B. Libchaber A. (1987): Transition to turbulence in helium gas, Physical Review A, 36/12, 5871
Ince N. Z., Launder, B. E. (1989): On the computation of buoyancy-driven turbulent flows in rectangular enclosures, Int. J. Heat and Fluid Flow, 10, 110
Jones W.P., Launder B. E. (1972): Prediction of laminarization with a two-equation model of turbulence, Int J. Heat Mass Transfer 15, 301
Kirkpatrick A.T., Bohn M. (1986): An experimental investigation of mixed cavity natural convection in the high Rayleigh number regime, Int J. Heat Mass Transfer 29
Launder B. E. (1988): On the computation of convective heat transfer in complex turbulent flows, J. Heat Transfer 110: 1112
Mellor G.L., Yamada T. (1982): Development of a turbulence closure model for geophysical fluid problems, Rev. Geophysics and Space Physics 20: 851
Miyamoto M., Kajino H., Kurima J., Takanami I. (1982): Development of turbulence characteristics in a vertical free convection boundary layer, Proc. 7th Int. Heat Transfer Conf. 2: 323
Nagano Y., Kim C. (1988): A two-equation model for heat transport in wall shear flows, J. Heat Transfer, 110: 583
Pend M. (1987): Efficient semi-implicit solving algorithm for nine-diagonal coefficient matrix, Num. Heat Transfer 11: 251
Plumb O. A., Kennedy L.A. (1977): Application of a k — e model to natural convection from a vertical isothermal surface, J. Heat Transfer 99: 79
Svenson U. (1978): A Mathematical model of the seasonal thermocline, Univ. Lund Rept. No. 1002, Sveden
Tanaka H., Miyata H. (1980): Turbulent natural convection in a horizontal layer heated from below, Int J. Heat Mass Transfer 23: 1273
Thompson C. P., Wilkes N. S., Jones I. P. (1987): Numerical studies of buoyancy driven turbulent flow in a rectangular cavity, Int. J. Num. Meth. Engng. 24: 89
To W. M., Humphrey J. A. C. (1986): Numerical simulation of buoyant turbulent flow, I and II, Int J. Heat Mass Transfer, 29: 573
Turner J. S. (1979): Buoyancy Effects in Fluids, Cambridge Univ. Press
Willis G.E., Deardorff J.W. (1974): A laboratory model of the unstable boundary layer. J. Atm. Sci. 31: 1297
Zeman O., Lumley J.L. (1976): Modelling buoyancy driven mixed layers, J. Atmos. Sci., 33, 1974
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hanjalić, K., Vasić, S. (1993). Some Further Exploration of Turbulence Models for Buoyancy Driven Flows. In: Durst, F., Friedrich, R., Launder, B.E., Schmidt, F.W., Schumann, U., Whitelaw, J.H. (eds) Turbulent Shear Flows 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77674-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-77674-8_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77676-2
Online ISBN: 978-3-642-77674-8
eBook Packages: Springer Book Archive