Influence of fluid film on friction of a flat plate

Klyuev, N. I.; Kryukov, Yu. A.

doi:10.3103/s1068799814040096

Cited by 3 publications

(2 citation statements)

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“…The film is formed by extruding liquid from a porous wall. In paper [5], the film is formed from the external medium. A mathematical model is obtained for the zero approximation.…”

Section: Introductionmentioning

confidence: 99%

Reducing Friction with a Liquid Film on the Body Surface

2018

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A flow of a thin layer of liquid is simulated on a flat surface of a body located in a stream of air. Liquid film on the surface of the body reduces frictional resistance and can be used as a boundary layer control element. The paper presents a mathematical model of the film flow on a half-plane, located at an angle to the horizon. The fluid flow is determined by the force of gravity and friction from the external air current. A model of an incompressible viscous fluid is used in the boundary-layer approximation. The terms of the motion equation are averaged over the film thickness according to the Leibniz rule. In the cross section of the film, a quadratic law is adopted for the distribution of the longitudinal velocity, taking into account friction on the film surface. An analytical solution of the problem is obtained in the form of series in powers of the small parameter for determining the film thickness and the average longitudinal velocity along the length of the plate. It is shown that the friction decreases with flow around a half-plane with a film of liquid on the surface.

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“…The film is formed by extruding liquid from a porous wall. In paper [5], the film is formed from the external medium. A mathematical model is obtained for the zero approximation.…”

Section: Introductionmentioning

confidence: 99%

Reducing Friction with a Liquid Film on the Body Surface

2018

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“…The film is formed by extruding the liquid through a porous wall. In work [5] the film is formed out of the environment (for example, rain drops). The impact of raindrops to the boundary layer is ignored.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of the Liquid Film Flow on the Flat Surface

Klyuev¹

2017

AJAE

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Abstract:A liquid film on surface of a body decreases frictional resistance and can be used as a boundary layer control element. This article contains a mathematical model of a film flow over a half-plane, directed at an angle to the horizon. Liquid flow depends on gravity and friction with the external air flow. A model of incompressible viscous liquid near the boundary layer is used as the flow model. Summands of motion equation are averaged over the film thickness by the Leibniz rule. The square low is assumed for distribution of longitudinal velocity in the cross-section of the film with regard to the friction at the film's surface. An approximate solution of the problem is received as power series in powers of small parameter. The results are presented in a form diagrams of the film thickness and the average longitudinal velocity over the length of the plate. The mathematical flow model can be used to define flat film flow performance.

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