Abstract
We present a refinement of a model due to Mondal and Mazumder [7] for dis- persion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a semi-infinite strip, whose solution represents the concentration of particles over time and down-stream distances.
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
D. Coles. The law of wake in the turbulent boundary layer. J. Fluid Mech., 1(2):191–226, 1956.
N. Kopteva and E. O’Riordan. Shishkin meshes in the numerical solution of singularly perturbed differential equations. Int. J. Numer. Anal. Model., 7(3):393–415, 2010.
B.S. Mazumder and D.C. Dalal. Contaminant dispersion from an elevated time-dependent source. J. Comput. Appl. Math., 126(1-2):185–205, 2000.
B.S. Mazumder and S. Bandyopadhyay. On solute dispersion from an elevated line source in an open-channel flow. J. Eng. Math., 40:197–209, 2001.
J.J.H. Miller, E. O’Riordan, and G.I. Shishkin. Fitted numerical methods for singular perturbation problems. World Scientific, 1996.
K.K. Mondal and B.S. Mazumder. On dispersion of settling particles from an elevated source in an open-channel flow. J. Comput. Appl. Math., 193(1):22 – 37, 2006.
K.K. Mondal and B.S. Mazumder. Dispersion of fine settling particles from an elevated source in an oscillatory turbulent flow. European J. Mech. - B/Fluids, 27(6):707–725, 2008.
I. Nezu and W. Rodi. Open-channel flow measurements with a laser doppler anemometer. J. Hydrol. Eng., 112(5):335–355, 1986.
M.R. Raupach and B.J. Legg. Turbulent dispersion from an elevated line source: measurements of wind-concentration moments and budgets. J. Fluid Mech., 136:111–137, 1983.
H.-G. Roos, M. Stynes, and L. Tobiska. Robust Numerical Methods for Singularly Perturbed Differential Equations, Springer-Verlag, 2008.
T. Song, W.H. Graf and U. Lemmin, Uniform flow in open channel with movable bed. J. Hydraul. Res., 32(6):861–876, 1994.
P.J. Sullivan and H. Yip. Near-field contaminant dispersion from an elevated line-source. (ZAMP), 38:409–423, 1987.
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
Madden, N., Mondal, K.K. (2011). Improved Mathematical and Numerical Modelling of Dispersion of a Solute from a Continuous Source. In: Clavero, C., Gracia, J., Lisbona, F. (eds) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-19665-2_19
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19664-5
Online ISBN: 978-3-642-19665-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)