Fluid outflow from a rectangular channel in a flooded space

About the authors:

Aleksandr A. Vakulin, Dr. Sci. (Tech.), Professor, Honorary Worker of Science and High Technologies of the Russian Federation, Professor of the Department of Applied and Technical Physics, Institute of Physics and Technology, University of Tyumen; a.a.vakulin@utmn.ru

Anatoly F. Nyashyn, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Mathematical Modeling, Institute of Mathematics and Computer Sciences, Tyumen State University

Abstract:

The process of fluid outflow from a flat semi-infinite channel space, flooded with another fluid, caused by the difference of densities is considered. A semi-infinite horizontal channel of finite height is filled with fluid and fully immersed in any fluid. Equilibrium is impossible due to the difference in medium density. The flow begins at the start time. Heavy fluid invades the channel and removes the light one. When changing the roles, heavy fluids flow through the bottom of the inlet section and are replaced by light ones. It is necessary to describe the propagation of a repression wave in the channel. The main objective is to determine the quantitative estimates and qualitative features of the process. This study complements the solution of the problem of oil spills in the guillotine rupture of submarine pipeline. A self-similar solution of the equations of motion is built. The comparison of the nature of light and heavy fluids outflow is presented.

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