Author
K. Afanasiev
Bio: K. Afanasiev is an academic researcher. The author has contributed to research in topics: Free boundary problem & Boundary value problem. The author has an hindex of 2, co-authored 2 publications receiving 21 citations.
Papers
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TL;DR: In this paper, the axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath, and a model for the fully three-dimensional free boundary problem of the rotating disk, that drags a thin film out of the bath is set up.
13 citations
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TL;DR: In this article, the axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath, and a model for the fully three-dimensional free-boundary problem of the rotating disk, that drags a thin film out of the bath is set up.
Abstract: The axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath. A model for the fully three-dimensional free-boundary problem of the rotating disk, that drags a thin film out of the bath is set up. From this, a dimension-reduced extended lubrication approximation that includes the meniscus region is derived. This problem constitutes a generalization of the classic drag-out and drag-in problem to the case of axisymmetric flow. The resulting nonlinear fourth-order partial differential equation for the film profile is solved numerically using a finite element scheme. For a range of parameters steady states are found and compared to asymptotic solutions. Patterns of the film profile, as a function of immersion depth and angular velocity are discussed.
10 citations
Cited by
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TL;DR: In this paper, a fluid-controllable DC power nanogenerator can be integrated easily with every energy harvesting device, thus making it easy for energy-related disciplines to overcome major issues in more practical way.
47 citations
TL;DR: In this article, the Von Karman alterations have been used to alter the basic equations into the set of nonlinear differential equations and the elegant homotopy analysis method (HAM) was used to obtain the solution of the system.
18 citations
TL;DR: In this article, the authors used computational fluid dynamics (CFD) to investigate the film flow on rotating wheel for a horizontal twin-shaft nuclear power plant with two gas-liquid interfaces.
13 citations
TL;DR: In this article, the authors investigated the entrainment and flow of a thin film of liquid on a vertically rotating disc partially immersed in a liquid bath and found that the film thickness stabilises following a rotation of 15° after drag out of the liquid, and remains so until 10° before being dragged back in.
12 citations
TL;DR: In this paper, a volume of fluid (VOF) model has been used to simulate the film formation process and predict the film thickness distribution on the rotating disks, validated experimentally by electrical conductance method.
8 citations