Abstract: A hypothesis is proposed about the process of liquid filling the experimental closed tank (ECT) with a capillary in its wall, the appearance of which may be of manufacturing defects in the ECT walls and welded seams. The hypothesis allows for the wettability properties of the ECT wall material, the capillary effect (CE), liquid evaporation and the pressure difference between the ECT volume and the environment, as well as the duration of the process. Three options for supplying liquid to the ECT volume are considered. They correspond to the technological operations in the ECT manufacture: washing, hydraulic testing, and calibration. A physical–mathematical model (PMM) of heat and mass transfer and liquid dynamics in the ECT and a capillary is developed on the basis of the Navier–Stokes equations. The obtained PMM is used to construct a corresponding computer model (CM). On the example of the ECT washing, a numerical simulation of the process of liquid filling the capillary is carried out. The changes in the capillary volume being filled with liquid are determined with respect to time, including temperature, pressure, mass flow rate of viscous incompressible liquid at the ECT entrance, wettability of the ECT walls and the exposure time interval. The capillary volume filling value is assessed for different duration of the washing process.

Cite: Trushlyakov V.I. , Panichkin A.V. , Lesnyak I.Y.
Mathematical and computer models of the process of liquid filling a capillary in the system "experimental closed tank plus capillary"
Theoretical and computational fluid dynamics. 2025. V.39. 51 :1-16. DOI: 10.1007/s00162-025-00768-8 WOS Scopus

Dates:

Submitted:	Feb 17, 2025
Published online:	Dec 15, 2025
Accepted:	Dec 19, 2025

Identifiers:

Web of science:	WOS:001638939000001
Scopus:	2-s2.0-105024856874

Citing: Пока нет цитирований

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