О режимах устойчивости течения в канале между соосными цилиндрами (стр. 4 )

ЛИТЕРАТУРА

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ON THE STABILITY REGIMES FOR THE FLOW IN CHANNEL
BETWEEN COAXIAL CYLINDERS

Bord E. G.1, Rudyak V. Ya.2

1,2Novosibirsk State University of architecture and civil engineering,
Novosibirsk, Russia

The stability of the spiral flow in channels of different width between coaxial cylinders arising on combined axial pressure drop and rotation of the inner cylinder was considered. The studied flows stability is determined by two independent Reynolds numbers corresponding to flow in the axial and azimuthal directions. In a wide range of flows parameters the neutral stability curves and dependencies of the perturbations increments on the wave number were founded. It was established that, depending on the flow conditions the most unstable modes can have different azimuthal wavenumbers. The dependence of the stability characteristics on the flow azimuthal Reynolds number was studied. It was detected the flow instability regime which corresponds to Rayleigh-Taylor-type instability of the cylindrical Couette flow. This type of instability suppresses with increasing axial Reynolds number. It was shown that the obtained data agree well with known experimental ones. Finally, it was founded that there are the bifurcations of the neutral stability curves at some flow regimes. The ranges of corresponding Reynolds numbers were determined.

Keywords: hydrodynamic stability, spiral flows, Rayleigh-Taylor instability, laminar-turbulent transition, neutral stability curves.

REFERENCES

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СВЕДЕНИЯ ОБ АВТОРАХ

– родился в 1962 году, к. ф.-м. н., доцент, доцент, кафедра теоретической механики, Новосибирский государственный архитектурно-строительный университет (Сибстрин). Область научных интересов: гидродинамическая устойчивость течений неньютоновских жидкостей, динамика вихревых систем. Опубликовано 39 научных работ.  (Адрес: 630008, Россия, Новосибирск, . Email: *****@***ru). Bord Evgeny Grigorievich (b. 1962) – physics and mathematics candidate, associate professor, associate professor, theoretical mechanics chair, Novosibirsk State University of Architecture and Civil Engineering. His research interests are currently focused on hydrodynamic stability of the nonnewtonian fluids flow, vortex dynamics. He is author of 39 scientific papers. (Address: 113, Lenigradskaya st., Novosibirsk, 630008, Russia. Email: *****@***ru).

– родился в 1945 году, д. ф.-м. н., профессор, профессор, завкафедрой, кафедра теоретической механики, Новосибирский государственный архитектурно-строительный университет (Сибстрин). Область научных интересов: кинетическая теория плотных и разреженных газов, неравновесная статистическая механика процессов переноса, физика и механика дисперсных жидкостей, процессы переноса в газах, жидкостях и в наножидкостях, теория ламинарно-турбулентного перехода, моделирование и изучение макро-, микро - и нанотечений ньютоновских и неньютоновских жидкостей. Опубликовано более 300 научных работ. (Адрес: 630008, Россия, Новосибирск, . Email: valery. *****@***ru). Rudyak Valery Yakovlevich (b. 1945) – doctor of physics and mathematics, professor, professor, theoretical mechanics chair head, theoretical mechanics chair, Novosibirsk State University of Architecture and Civil Engineering. His research interests are currently focused on kinetic theory, nonequilibrium statistical mechanics, physics and mechanics of dispersed fluids, laminar-turbulent transition, modeling and exploring macro - micro - and nanoflows of Newtonian and nonnewtonian fluids. He is author more than 300 scientific papers. (Address: 113, Lenigradskaya st., Novosibirsk, 630008, Russia. Email: valery. *****@***ru).