Linear waves on a surface of vertical rivulet

All-Russian Conference with the School for Young Scientists “Thermophysics and Physical Hydrodynamics –2016”

Aktershev, S.P.^1,2 ; Alekseenko, S.V.^1,2 ; Arkhipov, D.G.^1,2

Kutateladze Institute of Thermophysics, Lavrentiev Ave. 1, Novosibirsk

630090, Russia^1

Novosibirsk State University, Pirogova St. 2, Novosibirsk

630090, Russia^2

关键词: Basis functions;    Chemical technologies;    Dimensionless parameters;    Dispersion relations;    Falling liquid films;    Nonlinear waves;    Power engineering;    Residual method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/754/3/032001/pdf
DOI  :  10.1088/1742-6596/754/3/032001

来源: IOP

【 摘 要 】

The type of film flow whereby the fluid flows in the form of many streamlets is typically called a rivulet flow. Whereas an individual streamlet bounded by two contact lines is called a rivulet. Special attention has been paid to rivulet flows because of their practical value for a variety of devices in power engineering and chemical technology, such as absorbers, distillation columns, evaporators, and heat exchangers for the liquefaction of natural gas. In the present paper the waves in vertical rivulet are investigated analytically. The Kapitza-Shkadov model is used to describe the wavy rivulet flow since it was well proven in the study of nonlinear waves in falling liquid films over a wide range of Reynolds numbers. The equations of the wavy rivulet flow are derived on the basis of the weighed residual method. These equations turn out to be the projections of the Shkadov's model equations on system of basis functions, constructed in special way. Linearizing these equations results in the dispersion relations for plane waves. The stability criterion for rivulet flows is deduced, and the analysis of dispersion relations depending on dimensionless parameters is carried out.