hydrodynamic stability, fluid, convection, heavy solid additive, influence of form errors, rotation.
Subject:
Influence of form errors of a chamber filled with a liquid on the movement and stability of a ball rotating in the chamber was studied. A rising here diflective moment tends to direct the angular speed vector along the small semiaxis of the ellipsoid, i.e. a stable position of the rotor appears. Motion of a horizontal rotating rigid unstable cylinder in a stationary circular cylindrical chamber, which has finite length and is filled with viscous gas was solved. The inner cylinder is influenced by outer forces which vary periodically in time. The stability of a steady-state convective flow of a medium containing nonuniformly disturbed heavy impurity particles was studied.
Biography
1971 — graduated from Perm State University; 1971–74 post-graduation; 1979 — Ph.D. from Inst. of Therm. Phys. Sibirian Branch Acad. Sci. USSR (Novosibirsk); 1985 — Assoc. Prof., 1986 — Head of Dept. of Math. Modelling, 1992 — Prof., 1995 — Dean of Faculty of Math. (all Chelyabinsk State University); 1999 — Doctor of Sci. (Physics and Mathematics).
Member of Gesellschaft fur Angewandte Mathematik und Mechanik (Berlin) and European Mathematical Society.
Main publications:
Dement'ev O. Stability of steady-state flows of a liquid with a heavy impurity // Zeitschrift fur Angevandte Math. und Mech. ICIAM95-special issue. 1996. v. V. P. 112–114.
Dementiev O. Stability of a rotor motion in a chamber filled with viscous gas // Int. J. Comp. And Math. with Appl. v. 39. 2000. P. 183–192.
Bykov V., Dementiev O. Stability of a Rotating Ball // Korean J. Comput. Appl. Math. V. 9, 2002, no. 1, P. 277–288.
S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, A. A. Ershov, “Arlen Mikhaylovich Il'in. 90 years since the birth”, Chelyab. Fiz.-Mat. Zh., 7:2 (2022), 135–138
2016
2.
O. N. Dementiev, “Stability of a heated from below liquid layer with an impurity”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 113–117
2011
3.
O. N. Dementiev, “Influence of form errors of a chamber on a rotating ball stability”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13, 75–88
2008
4.
O. N. Dementiev, D. V. Lyubimov, “Appearance of the convection in a horizontal plane layer of a porous medium”, Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10, 130–135
2000
5.
O. N. Dementiev, “Effect of convection on the stability of a liquid with a nonuniformly distributed heavy admixture”, Prikl. Mekh. Tekh. Fiz., 41:5 (2000), 180–187; J. Appl. Mech. Tech. Phys., 41:5 (2000), 923–929
O. N. Dementiev, “Устойчивость конвекции жидкости с неравномерно
распределенной тяжелой примесью”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 5, 147–160
7.
O. N. Dementiev, “Задача Рэлея для жидкости с тяжелой примесью”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4, 45–55
1991
8.
O. N. Dementiev, V. A. Makhova, “Calculation of the motion of a rotor in a cylindrical chamber”, Prikl. Mekh. Tekh. Fiz., 32:5 (1991), 68–72; J. Appl. Mech. Tech. Phys., 32:5 (1991), 713–717
9.
O. N. Dementiev, E. V. Karas', “Устойчивость растяжения прямоугольной
полосы”, Vestnik Chelyabinsk. Gos. Univ., 1991, no. 1, 121–127
1986
10.
A. B. Burmistrova, O. N. Dementiev, “Stability of steady-state flow of a liquid with a heavy impurity”, Prikl. Mekh. Tekh. Fiz., 27:2 (1986), 65–68; J. Appl. Mech. Tech. Phys., 27:2 (1986), 214–217
1976
11.
O. N. Dementiev, “Convective stability of a medium containing a heavy solid additive”, Prikl. Mekh. Tekh. Fiz., 17:3 (1976), 105–115; J. Appl. Mech. Tech. Phys., 17:3 (1976), 383–391
2022
12.
I. V. Bychkov, S. M. Voronin, O. N. Dementiev, V. L. Dilman, V. I. Zalyapin, D. A. Zakharyevich, D. B. Izergin, V. V. Karachik, A. Yu. Makovetskii, L. D. Menikhes, V. N. Pavlenko, M. V. Plekhanova, E. A. Sbrodova, S. V. Taskaev, V. I. Ukhobotov, “Владимир Евгеньевич Федоров. К пятидесятилетию со дня рождения”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 5–10
2017
13.
S. M. Voronin, S. F. Dolbeeva, O. N. Dementiev, A. A. Ershov, M. G. Lepchinski, S. V. Matveev, N. B. Medvedeva, D. K. Potapov, E. A. Rozhdestvenskaya, E. A. Sbrodova, I. M. Sokolinskaya, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, “К 70-летию профессора Вячеслава Николаевича Павленко”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 383–387
14.
S. F. Dolbeeva, V. N. Pavlenko, S. V. Matveev, O. N. Dementiev, A. V. Mel'nikov, E. A. Sbrodova, A. A. Soloviev, V. I. Ukhobotov, V. E. Fedorov, E. A. Fominykh, A. A. Ershov, “Arlen Mikhaylovich Il’in. Towards 85th birthday”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 5–9