Abstract
Droplet evaporation is usually modelled as a subgrid process and induces local inhomogeneities in the mixture fraction probability density function (PDF) and its scalar dissipation. These inhomogeneities are usually neglected, however, they can be significant and determine the combustion regime. In the present work, Direct Numerical Simulations (DNS) of fully resolved evaporating methanol droplets are analysed, assessing fuel vapour mixing in laminar and turbulent flows. The results show that scalar probability distributions and scalar dissipation vary greatly depending on the position relative to the droplet position, on droplet loading and on flow conditions. The β-PDF seems to capture the global behaviour for laminar flows around droplet arrays with low droplet density, however, mixing characteristics for higher droplet densities in stagnant and turbulent flows cannot be approximated by a β-PDF, and modelling approaches based on cell mean values will lead to erroneous results.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R.I. Imaoka, W.A. Sirignano, Proc. Combustion Institute (30) (2005) 1981–1989.
P. Schroll, A.P. Wandel, R.S. Cant, E. Mastorakos, Proc. Combust. Inst (1) (2008) 2275–2282.
M. Sussman, P. Smereka, S. Osher, J. Comp. Phys (114) (1994) 146–159.
R. Fedkiw, T. Aslam, B. Merriman, S. Osher, J. Comp. Phys (152) (1999) 457–492.
N.N. Yanenko, Springer, Berlin.
R.P. Selvam, L. Lin, R. Ponnappan, Int. J. Heat and Mass Transfer (49) (2006) 4265–4278.
G.S. Jiang, D. Peng, SIAM J. Sci. Comp. (21) (2000) 2126–2143.
E.R.A. Coyajee, M. Herrmann, B.J. Boersma, Proc. Summer Program - Center for Turbulence Research (1) (2004) 315–327.
S. Tanguy, T. Menard, A. Berlemont, J. Comp. Phys. (221) (2006) 837–853.
M.R.G. Zoby, S. Navarro-Martinez, A. Kronenburg, Proc. of the 4th European Combustion Meeting.
A.J. Marquis, M. Wille, BOFFIN for parallel Computers, Technical Memorandum, Imperial College, London (2008).
M.R.G. Zoby, S. Navarro-Martinez, A. Kronenburg, A.J. Marquis, Notes on Numerical Fluid Mechanics and Multidisciplinary Design (in press).
A.Y. Klimenko, R.W. Bilger, Progress in Energy and Combustion Science 25 (1999) 595–688.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kronenburg, A., Zoby, M.R.G., Navarro-Martinez, S., Marquis, A.J. (2011). Scalar Mixing in Droplet Arrays in Stagnant and Convective Environments. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15748-6_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-15748-6_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15747-9
Online ISBN: 978-3-642-15748-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)