Abstract
One of the consequences of diffusion theory is that fluctuations in a turbulent flow can be expressed in terms of the mean component, for example the scalar gradient hypothesis. It is known that the diffusion theory is not correct for high Reynolds numbers. In this paper a numerical method is developed for the computation of particle concentration in a turbulent pipe flow. In this way the validity of diffusion theory can be accessed.
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References
Aanen, L., Teleska, A., Westerweel, J., Measurement of turbulent mixing using PIV and LIF, Machine Vision and Graphics, 8 (1999) 529–543.
Aanen, L., Measurement of turbulent scalar mixing by means of a combination of PIV and LIF, Ph.D. Thesis, Delft University of Technology, 2002.
Anthonissen, M.J.H., Local defect correction techniques: analysis and application to combustion, Ph.D. Thesis, Eindhoven University of Technology, 2001.
Brethouwer G., Mixing of passive and reactive scalars in turbulent flows: A numerical study., Ph.D. Thesis, Delft University of Technology, 2000.
Brouwers J.J.H., On diffusion theory in inhomogeneous turbulence, J. Eng. Math. 44 (2002) 277–295.
De Bruin I., Direct and Large-Eddy Simulation of the Spatial Turbulent Mixing Layer, Ph.D. Thesis, Twente University of Technology, 2001.
Eggels J.G.M., Direct and Large Eddy Simulation of Turbulent Flow in a Cylindrical Pipe Geometry, Ph.D. Thesis, Delft University of Technology, Department of Aero- and Hydrodynamics, 1994.
Van Kampen N.G., Stochastic processes in Physics and Chemistry, revised and enlarged edition. Elsevier, Amsterdam, 1992.
Kuerten J.G.M., Computational Fluid Dynamics III, Lecture notes, University of Twente, 1999.
Kuerten J.G.M., M.P.B. Veenman and J.J.H. Brouwers, Numerical simulation of the motion of particles in turbulent flow, in: Geurts B.J., Friedrich R., Metais O. (eds.), “Direct and Large-eddy Simulation IV”, Enschede, (2001) 11–20.
Van Leer B., Towards the ultimate conservative difference scheme II. Monotonicity and onservation combined in a second-order scheme, J.Comput. Phys. 14 (1974) 361–370.
LeVeque R.J., Numerical Methods for Conservation Laws, Birkäuser Verlag, 1992.
Stratonovich R.L., Topics in the Theory of Random Noise, Gordon and Breach, New York, 1967.
Veenman M.P.B., J.G.M. Kuerten and J.J.H. Brouwers Particle dispersion in inhomogeneous turbulent flow, in: Liu C., Sakell L., Beutner T. (eds.), “DNS/LES progress and Challenges”, Arlington, Texas, (2001) 549–556.
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de Hoogh, J., Veenman, M.P.B., Kuerten, J.G.M. (2004). Modeling of a Passive Scalar in a Turbulent Pipe Flow Using a Direct Numerical Simulation. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_34
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DOI: https://doi.org/10.1007/978-1-4020-2313-2_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6575-9
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