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Visualization of the Self-Motion of a Free Wedge of Neutral Buoyancy in a Tank Filled with a Continuously Stratified Fluid and Calculation of Perturbations of the Fields of Physical Quantities Putting the Body in Motion

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Abstract

Based on the results of the space-time analysis of the equations of motion, a technique for visualizing the flow caused by the diffusion of NaCl salt near a horizontal wedge in a fluid continuously stratified in salinity is developed. A laboratory setup is created in which diffusion-induced flows on bodies of neutral buoyancy and self-motion of a horizontal wedge are visualized using various optical methods. Shadowgrams of a free self-moving wedge placed on a neutral buoyancy horizon in a continuously stratified salt solution are compared with the results of calculations.

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Acknowledgments

We are grateful to Dr. Thomas Peacock (MIT, USA), who provided us with a neutral buoyancy wedge for visualization of the flow, which was used in the experiments [16], and to Prof. Andrzej Herczyński (Boston College, USA) for organizing the interaction between the two groups of scientists.

This work was performed using the services and equipment of the Center for Collective Use of Super High Performance Computer Resources of the Moscow State University, as well as the Center for Collective Use “Complex of Modeling and Data Processing of Mega-Class Research Facilities” of the National Research Center “Kurchatov Institute.” The experiments were conducted at the TST test bench, which is part of the Hydrophysical Complex for Modeling of Hydrodynamic Processes (UNU IPMekh RAS).

Funding

The work of the authors from the Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences was supported in part by the Russian Foundation for Basic Research (grant no. 18-05-00870) and the state budget of the Russian Federation (state task no. АААА-А17-117021310378-8).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia

    V. V. Levitsky & Yu. D. Chashechkin

  2. Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kiev, 02000, Ukraine

    N. F. Dimitrieva

  3. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kiev, 03056, Ukraine

    N. F. Dimitrieva

Authors
  1. V. V. Levitsky
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  2. N. F. Dimitrieva
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  3. Yu. D. Chashechkin
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Corresponding authors

Correspondence to N. F. Dimitrieva or Yu. D. Chashechkin.

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Russian Text © The Author(s), 2019, published in Prikladnaya Matematika i Mekhanika, 2019, Vol. 83, No. 3, pp. 439–451.

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Levitsky, V.V., Dimitrieva, N.F. & Chashechkin, Y.D. Visualization of the Self-Motion of a Free Wedge of Neutral Buoyancy in a Tank Filled with a Continuously Stratified Fluid and Calculation of Perturbations of the Fields of Physical Quantities Putting the Body in Motion. Fluid Dyn 54, 948–957 (2019). https://doi.org/10.1134/S0015462819070115

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