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On interaction of a liquid film with an obstacle

    A. Zemitis Affiliation

Abstract

In this paper are discussed mathematical models for the liquid film generated by impinging jets. These models describe only the film shape under special assumptions about processes. Attention is stressed on the interaction of the liquid film with some obstacle. The idea is to generalize existing models and to investigate qualitative behavior of liquid film using numerical experiments. G.I. Taylor [Proc. R. Soc. London Ser. A 253, 313 (1959)] found that the liquid film generated by impinging jets is very sensitive to properties of the wire which was used as an obstacle. The aim of this presentation is to propose a modification of the Taylor's model, which allows to simulate the film shape in cases when the angle between jets is different from 180°. Numerical results obtained by discussed models give two different shapes of the liquid film similar as in Taylors experiments. These two shapes depend on the regime: either droplets are produced close to the obstacle or not. The difference between two regimes becomes larger if the angle between jets decreases. Existence of such two regimes can be very essential for some applications of impinging jets, if the generated liquid film can have a contact with obstacles.


Apie skysto filmo sąveiką su kliūtimi


Santrauka. Darbe nagrinėjami skysto filmo, gaminamo purškiamomis srovėmis, matematiniai modeliai. Šie modeliai teisingi esant specialioms prielaidoms apie procesą. Tiriama skysto filmo sąveika su tam tikra kliūtimi. Apibendrinami egzistuojantys modeliai, skysto filmo kokybiniai pokyčiai tiriami naudojant skaitinius eksperimentus. G. I. Taylor [Proc. R.Soc.London Ser. A253, 313(1959)] įrodė, kad purškiamų srovių metodu generuotas skystas filmas yra labai jautrus laido, kuris buvo naudojamas kaip kliūtis, savybėms. Šio darbo tikslas yra pasiūlyti Teiloro modelio modifikacija, leidžiančią modeliuoti filmo pavidalą tais atvejais, kada kampas tarp srovių gali būti 180°. Skaitiniai rezultatai, gaunami taikant minimus modelius, duoda du skirtingus skysto filmo vaizdus, panašius į tuos, kurie gaunami Teiloro eksperimentuose. Šie du pavidalai priklauso nuo to, kaip arti kliūties yra gaunami lašeliai. Skirtumas tarp jų tuo didesnis, kuo mažesnis kampas tarp srovių. Tokių dviejų režimų egzistavimas gali turėti esminės įtakos kai kuriems purškiamų srovių taikymams tais atvejais, kada gaminami filmai turi kontaktą su kliūtimis.


First Published Online: 14 Oct 2010

Keyword : Impinging jets, liquid film, obstacle, simulation

How to Cite
Zemitis, A. (2002). On interaction of a liquid film with an obstacle. Mathematical Modelling and Analysis, 7(2), 327-342. https://doi.org/10.3846/13926292.2002.9637204
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Dec 15, 2002
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