Geodesic
Simplified three-dimensional mathematical models of hydrodynamics and passive mass transfer in calm channel flows
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 66-89

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work, we discuss problems of modeling calm channel flows of low turbidity on long, slightly curved watercourses. We present simplified mathematical models obtained by the method of a small parameter from the Reynolds equations for incompressible fluids closed by the Boussinesq hypothesis and the diffusion equations of decaying matter in a moving medium. Within the framework of this approach, we propose a classification of channel flows. In contrast to the common averaged equations, the models proposed take into account the spatial structure of the flow, which makes it possible to study the influence of the channel shape and some external factors (for example, wind effects) on the mixing and distribution of matter in the flow.
Keywords: mathematical model, channel flow, small parameter method.
Mots-clés : passive admixture, turbulence 
@article{INTO_2021_196_a6,
     author = {K. A. Nadolin},
     title = {Simplified three-dimensional mathematical models of hydrodynamics and passive mass transfer in calm channel flows},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {66--89},
     publisher = {mathdoc},
     volume = {196},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_196_a6/}
}
TY  - JOUR
AU  - K. A. Nadolin
TI  - Simplified three-dimensional mathematical models of hydrodynamics and passive mass transfer in calm channel flows
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2021
SP  - 66
EP  - 89
VL  - 196
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2021_196_a6/
LA  - ru
ID  - INTO_2021_196_a6
ER  - 
%0 Journal Article
%A K. A. Nadolin
%T Simplified three-dimensional mathematical models of hydrodynamics and passive mass transfer in calm channel flows
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2021
%P 66-89
%V 196
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2021_196_a6/
%G ru
%F INTO_2021_196_a6
K. A. Nadolin. Simplified three-dimensional mathematical models of hydrodynamics and passive mass transfer in calm channel flows. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 66-89. http://geodesic.mathdoc.fr/item/INTO_2021_196_a6/