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**On a family of mathematical models of adequate complexity, describing passive mass transfer in calm streambed flowes.**
*(Russian.
English summary)*
Zbl 1435.35306

Summary: The problems of modeling calm and shallow streambed flows of low turbidity within elongated and weakly curved sections are discussed. A technique based on the small parameter method of obtaining simplified mathematical models that adequately take into account the spatial nature of the flow is presented. In contrast to the widespread averaged models, the equations of mathematical models described in the article take into account the spatial structure of the flow, which allows us to study the influence of the shape of the bottom and coastline of the channel, as well as some external factors (for example, the wind) on the characteristics of mixing and distribution of matter in the stream.

### MSC:

35Q35 | PDEs in connection with fluid mechanics |

76R10 | Free convection |

76F10 | Shear flows and turbulence |

35R35 | Free boundary problems for PDEs |

### Keywords:

mathematical model; streambed flow; turbulence; free surface; small parameter technique; passive admixture
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\textit{K. A. Nadolin}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 31, 34--48 (2020; Zbl 1435.35306)

### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.