One-Dimensional Pollutant’s Advective-Diffusive Transport from a Varying Pulse-Type Point Source through a Medium of Linear Heterogeneity
Publication: Journal of Hydrologic Engineering
Volume 17, Issue 9
Abstract
Analytical solutions of one-dimensional (1D) advection-diffusion equations (ADE) are obtained subject to an initially pollutant-free domain and varying pulse-type input conditions. The medium is considered heterogeneous and of semi-infinite extent. The heterogeneity is defined by considering the velocity as a spatially dependent, linear, non homogeneous increasing function. It is interpolated in a finite domain in which concentration values are to be evaluated. The unsteadiness of the exponential form of velocity and dispersivity is also considered. The expression for velocity is written in degenerate form. Analytical solutions are obtained when dispersivity depends upon the velocity. The Laplace integral transform technique (LITT) has been used.
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Acknowledgment
The first author, Premlata Singh, gratefully acknowledges the financial support in the form of the Dr. D. S. Kothari postdoctoral fellowship by the University Grants Commission, Government of India. The authors are very much thankful to the reviewers for their valuable comments.
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Information
Published In
Journal of Hydrologic Engineering
Volume 17 • Issue 9 • September 2012
Pages: 1047 - 1052
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Mar 31, 2011
Accepted: Dec 12, 2011
Published online: Dec 14, 2011
Published in print: Sep 1, 2012
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