Simulation of shock interaction between body and free-surface fluid

Authors

  • Владимир Александрович Катан Oles Gonchar Dnipropetrovsk National University K. Marx Prospect , 35, city Dnepropetrovsk, Ukraine, 49000, Ukraine https://orcid.org/0000-0001-9167-2619

DOI:

https://doi.org/10.15587/1729-4061.2014.23330

Keywords:

shock interaction between body and free-surface fluid, shock motion

Abstract

The problem of interaction between the plate, placed at some angle to the free surface of the fluid at an instant change in the plate elements velocity with the fluid is solved in the paper. Such a task can simulate the behavior of the steering body or active vessel stabilizer, as well as the operation of various elements of automatic equipment of hydraulic systems. The feature of the considered problem is the possibility of the liquid separation on individual body surface areas, on which the normal velocity component of the body elements is directed opposite to the fluid.

The literature contains an analytical solution of a similar problem only for the particular case, when the plate is perpendicular to the free surface. In the paper, this result is generalized for the case of arbitrary angle, an exact analytical solution of problems for the attached flow at any angle is obtained and the special case of inclination, at which an exact solution also exists for the flow with forming a separation zone is found.

For an arbitrary angle of the plate, hydrodynamic problem taking into account the separation is solved in quadratures. The usefulness and importance of the obtained data is that, as a result of the research, the impulsive pressure on the plate sides, which can be used for defining the total impulse force and moment, if to interpret the plate as a steering body was determined. 

Author Biography

Владимир Александрович Катан, Oles Gonchar Dnipropetrovsk National University K. Marx Prospect , 35, city Dnepropetrovsk, Ukraine, 49000

Senior lecturer

Department of Mathematical Modelling

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Published

2014-04-08

How to Cite

Катан, В. А. (2014). Simulation of shock interaction between body and free-surface fluid. Eastern-European Journal of Enterprise Technologies, 2(7(68), 32–36. https://doi.org/10.15587/1729-4061.2014.23330

Issue

Vol. 2 No. 7(68) (2014): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2014 Владимир Александрович Катан

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