Abstract
Non-stationary dynamics and structure of stratified and homogeneous fluid flows around a plate and a wedge were studied on basis of the fundamental equations set using methods of laboratory and numerical modeling. Fields of various physical variables and their gradients were visualized in a wide range of the problem parameters. Eigen temporal and spatial scales of large (vortices, internal waves, wake) and fine flow components were defined. The same system of equations and numerical algorithm were used for the whole range of the parameters under consideration. The computation results are in a good agreement with the data of laboratory experiments.
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References
D’Alembert, J.-R.: Traitè de l’èquilibre et de movement des fluids. Paris, David. 458 p. (1744)
D’Alembert J.-R.: Réflexions sur la cause générale des vents. Paris (1747)
Euler, L., Robins, B.: Neue Grundsätze der Artillerie enthaltend die Bestimmung der Gewalt des Pulvers nebst einer Untersuchung über den Unterscheid des Wiederstands der Luft in schnellen und langsamen Bewegungen. Aus d. Engl. übers. u. mit Anm. v. L. Euler. Berlin, Haude, 720 S. (1745)
Euler, L.: Principes généraux du mouvement des fluids. Mémoires de l’Academié royalle des sciences et belles letters. Berlin. vol. 11 (papers of 1755 year). (1757)
Landau, L.D., Lifshitz, E.M.: Fluid Mechanics: Course of Theoretical Physics, vol. 6, p. 731. Pergamon Press, Oxford (1987)
Baidulov, V.G., Chashechkin, Y.: Invariant properties of systems of equations of the mechanics of inhomogeneous fluids. J. Appl. Math. Mech. 75(4), 390–397 (2011). http://www.sciencedirect.com/science/journal/00218928
Chashechkin, Y.D.: Differential fluid mechanics – harmonization of analytical, numerical and laboratory models of flows. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds.) Mathematical Modeling and Optimization of Complex Structures. CMAS, vol. 40, pp. 61–91. Springer, Heidelberg (2016). doi:10.1007/978-3-319-23564-6_5
Zagumennyi, Y.V., Chashechkin, Y.D.: Pattern of unsteady vortex flow around plate under a zero angle of attack. Fluid Dyn. 51(3), 53–70 (2016). doi:10.7868/S056852811603018X
Schlichting, H.: Boundary-Layer Theory, p. 535. McGraw-Hill, New York (1955)
Bardakov, R.N., Mitkin, V.V., Chashechkin, Y.: Fine structure of a stratified flow near a flat-plate surface. J. Appl. Mech. Technol. Phys. 48(6), 840–851 (2007). doi:10.1007/s10808-007-0108-6
Chashechkin, Y.D.: Structure and dynamics of flows in the environment: theoretical and laboratory modeling. In: Actual Problems of Mechanics. 50 years of the A.Y. Ishlinskiy Institute for Problems in Mechanics of the RAS, pp. 63–78. (2015) (in Russian)
Dimitrieva, N.F., Zagumennyi, Y.V.: Numerical simulation of stratified flows using OpenFOAM package. In: Proceedings of the Institute for System Programming RAS, vol. 26, no. 5, pp. 187–200 (2014). doi:10.15514/ISPRAS-2014-26(5)-10
Zagumennyi, I.V., Chashechkin, Y.D.: Diffusion-induced flow on a strip: theoretical, numerical and laboratory modeling. Procedia IUTAM. 8, 256–266 (2013). doi:10.1016/j.piutam.2013.04.032
Prandtl, L.: Führer durch die Strömungslehre. Braunschweig: Vieweg. 638 p. (1942)
Dimitrieva, N.F., Chashechkin, Y.: Numerical simulation of the dynamics and structure of a diffusion-driven flow on a wedge. Comput. Contin. Mech. 8(1), 102–110 (2015). doi:10.7242/1999-6691/2015.8.1.9
Zagumennyi, Ia.V., Dimitrieva, N.F.: Diffusion-induced flow on a wedge-shaped obstacle. Phys. Scr. 91, Article No.084002 (2016). doi:10.1088/0031-8949/91/8/084002
Chashechkin, Y.D., Zagumennyi, I.V.: Hydrodynamics of horizontal stripe. Probl. Evol. Open Syst. 2(18), 25–50 (2015). (The Republic of Kazakhstan)
Acknowledgements
The work was partially supported by Russian Foundation for Basic Research (grant 15-01-09235). The calculations were performed using the service UniHUB (www.unihub.ru) and Research Computing Centre “Lomonosov” (www.parallel.ru).
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Chashechkin, Y.D., Zagumennyi, Y.V., Dimitrieva, N.F. (2016). Dynamics of Formation and Fine Structure of Flow Pattern Around Obstacles in Laboratory and Computational Experiment. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2016. Communications in Computer and Information Science, vol 687. Springer, Cham. https://doi.org/10.1007/978-3-319-55669-7_4
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