Příspěvek k použití analytických metod řešení transportně disperzní rovnice

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Title:Příspěvek k použití analytických metod řešení transportně disperzní rovnice
Creators:
Jandora, Jan; Ústav vodních staveb, Fakulta stavební, VUT v Brně, Žižkova 17, 662 37 Brno, Česká republika
Daněček, Josef; Ústav matematiky a deskriptivní geometrie, Fakulta stavební, VUT v Brně, Žižkova 17, 662 37 Brno, Česká republika
Journal or Publication Title:
Journal of Hydrology and Hydromechanics, 50, 2, pp. 139-157
Uncontrolled Keywords:Dispersion, Concentration of Observed Component, Mathematical Modelling, Water Quality

Abstract

All phenomena in nature are going on continuity way. All independent and dependent quantities are changing with time. Solving the problems of advection and dispersion of an observed component in a system of river network, influences of time and dispersion cannot be neglected in general. Since knowledge of hydraulic quantities (average velocity and cross sectional area) are presumed, a concentration c(x,t) of the observed component in a stream is the only unknown function. To determine this function c(x, t), one equation is needed – Advective-Dispersion Equation (ADE). ADE expresses law of mass conservation. The paper deals with analytical solutions of problems of transport and dispersion of the observed component in streams, namely for steady and unsteady problems. Analytical solutions are useful for validation of numerical solutions and for sensitivity analysis. The sensitivity analysis helps to determine influences of a separate coefficient of a model. Analytical solutions are derived dfor constant velocity, constant discharge and constant cross-sectional area. Also it is assumed constant dispersion coefficient.

Official URL: http://147.213.145.2/vc/vc1.asp

Title:Příspěvek k použití analytických metod řešení transportně disperzní rovnice
Translated title:Contribution to application of analytical methods solving advective-dispersion equation
Creators:
Jandora, Jan; Ústav vodních staveb, Fakulta stavební, VUT v Brně, Žižkova 17, 662 37 Brno, Česká republika
Daněček, Josef; Ústav matematiky a deskriptivní geometrie, Fakulta stavební, VUT v Brně, Žižkova 17, 662 37 Brno, Česká republika
Uncontrolled Keywords:Dispersion, Concentration of Observed Component, Mathematical Modelling, Water Quality
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Mathematics, Physics and Earth Sciences > Institute of Hydrodynamics > Journal of Hydrology and Hydromechanics
Journal or Publication Title:Journal of Hydrology and Hydromechanics
Volume:50
Number:2
Page Range:pp. 139-157
ISSN:0042-790X
Publisher:Institute of Hydrology of the Slovak Academy of Sciences and the Institute of Hydrodynamics of the Academy of Sciences of the Czech Republic
Related URLs:
URLURL Type
http://avi.lib.cas.cz/node/55Publisher
ID Code:6147
Item Type:Article
Deposited On:25 Jun 2010 17:53
Last Modified:25 Jun 2010 15:53

Citation

Jandora, Jan; Daněček, Josef (2002) Příspěvek k použití analytických metod řešení transportně disperzní rovnice. Journal of Hydrology and Hydromechanics, 50 (2). pp. 139-157. ISSN 0042-790X

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