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Literature
Aero E.L., Bulygin A.N., Kuvshinsky E.V. Asymmetric hydrodynamics. J. Appl. Math. Mech. (PMM), v. 29, # 2 (1964).
Aero A.L., Bulygin A.N. Hydromechanics of liquid crystals. Advances (Itogi) in Science and Technology: Hydromechanics, v. 7, Moscow: VINITI (1973).
Afanasiev E.F., Nikolaevskiy V.N. On the development of asymmetrical suspension hydrodynamics with rotating solid particles. In: Problems of Hydromechanics and Continuum Mechanics (the Sedov’s 60-th Anniversary). SIAM, Philadelphia, 16 – 26 (1969).
Ahmadi G., Koh S.L., Goldschmid V.M. A theory of nonsimple microfluids. In: Recent Advances in Engineering Science. V. 5, part 2. Gordon and Breach, New York, 9 – 20 (1970).
Ahmadi G., Goldschmid V.M., Dean B. A model of incompressible turbulent shear flow. Iranian J. Sci. Technol., v. 5, # 4, 147 –158 (1976).
Allen S.J., Kline K.A., Ling C.C. Transient shear flow of fluids with deformable microstructure. Acta Mech., v. 18, 1–20 (1973).
Arsen’ev S.A., Nikolaevskiy V.N. Vertical structure of oceanic currents at the Equator with regards for mesoscale vortices. Doklady Earth Sciences (DAN), v. 377A, # 3, 365 – 367 (2001).
Arseniev S.A., Nikolaevskiy V.N. Turbulent-vortex flows in channels and heat-coolers of atomic energy stations. Atomic Energy, v.90, # 5 (2001).
Arseniev S.A., Nikolaevskiy V.N., Shelkovnikov N.K. Tornado: origin, evolution and stability. Vestnik MGU. Ser. 3: Physics and Astronomy, #1, 50 – 53 (2000).
Artemov M.A., Nikolaevskiy V.N. On equations of asymmetric turbulence in magneto-hydrodynamics. Letters in Appl. Engng Sci., v. 4, # 3, (1976).
Artemov M.A., Ivchenko V.O., Nikolaevskiy V.N. On parameterization of mesoscale eddies in numerical models of large-scale oceanic circulation. Proc. Arctic’s and Antarctic’s Institute. V. 387. Leningrad: Gidrometeoizdat (1982).
Atkin R.J., Fox N. A multipolar approach to liquid helium II. Acta Mechanica, v.21, 221– 239 (1975).
Atkin R.J., Fox N. Acoustic wave propagation in liquid helium II. J. Sound and Vibration, v. 42, # 1, 13 – 29 (1975).
Babkin V. A. Anisotropic turbulence of incompressible fluid flow between plane parallel walls. J. A.pl. Math. Mech. (PMM), v.49, # 3 (1985).
Babkin V. A. Anisotropic turbulence at incompressible fluid flow between coaxial rotating cylinders. J. A.pl. Math. Mech. (PMM), v.52, # 2 (1988).
Babkin V.A. Turbulent stream in a wall zone as a flow of anisotropie fluid. Eng.-Phys. J. (Minsk), v. 75, # 5, 69 – 73 (2002).
Barenblatt G.I., Zeldovich Ya. B. Self-similar solutions as intermediate asymptotics. Annual Review of Fluid Mechanics. V. 4, 285 – 312 (1972).
Bagriantzev N.V., Danilov A.I., Ivchenko V.O., Nikolaevsky V.N. Orientation effects in geophysical fluid dynamics. Int. J. Eng. Sci., v. 21, # 7 (1983).
Batchelor G. K. The theory of axisymmetric turbulence. Proc. Roy. Soc. London, Al 86, 480 – 502 (1946).
Batchelor G.K. The Theory of Homogeneous Turbulence. Cambridge University Press (1953).
Batchelor G.K. An Introduction to Fluid Dynamics. Cambridge University Press. (1970).
Batchelor G.K. The stress system in a suspension of free force particles. J. Fluid Mech., v. 41, pt 3, 545 – 570 (1970).
Bear J. Dynamics of Fluids in Porous Media. New York: Elsevier (1972).
Bengitson L., Lighthill J., Eds. Intense Atmospheric Vortices. Springer-Verlag, New York (1982).
Beran M.J. Statistical Continuum Theories. New York: Interscience (1968).
Beresnev I.A., Nikolaevskiy V.N. A model for nonlinear seismic waves in a medium with instability. Physics D, v. 66, 1– 6 (1993).
Berezin Yu. A., Trofimov V.M. Thermal convection in a non-equilibrium turbulent medium with rotation. Fluid Dynamics, v. 29, # 6 (1994).
Berezin Yu. A., Trofimov V.M. A model of non-equilibrium turbulence with an asymmetric stress. Application to the problems of thermal convection. Continuum Mech. Thermodynamics, v. 7, 415 – 437 (1995).
Berezin Yu. A., Trofimov V.M. Large-scale vortex generation driven by non-equilibrium turbulence. Fluid Dynamics. V. 31, # 1 (1996).
Birch S.F., Lebedev A.B., Lyubimov D.A., Secundov A.N. Modeling of turbulent 3D jet and boundary layer streams. Fluid Dynamics, # 5 (2001).
Birkhoff G., Zarantanello E.H. Jets, Wakes and Cavities. New York: Acad. Press, (1957).
Blackwelder R.F., Kovasznay L.S.G. Time scales and correlations in a turbulent boundary layer. Phys. Fluids, v.9, # 9 (1972).
Brenner H. Rheology of two-phase systems. Annual Review Fluid Mechanics, v. 2, 137 – 176 (1975).
Brekhovskikh L.M. et al. Some results of hydrophysical experiment at ground of Tropical Atlantics. Trans. USSR Acad. Sci. (Izvestia) Physics of Atmosphere and Ocean, v.7, # 5 (1971).
Bubnov V.A., Martynenko O.G., Kaliletz V.I., Ustok H.Z. Radial force of isolated vortex Minsk, Inst. Heat - Mass Exchange, 21 p. (1987).
Buevich Y.A., Nikolaevskiy V.N. Equations for moments of averaged turbulence with anisotropy of vortex type. Proc. USSR Acad. Sci. (DAN), v. 201, # 2, 288 – 291 (1971).
Buevich Yu. A., Nikolaevskiy V.N. Theory of turbulence with anisotropy of eddy type. In: Continuum Mechanics and Related Problems of Analysis. (The N.I. Muskhelishvili’s 80th anniversary). Moscow, Nauka (1972).
Busse F. H. Magnetohydrodynamics of the Earth’s dynamo. Annual Review of Fluid Mechanics. V. 10, 435 – 462 (1978).
Cantwell B. J. Organized motion in turbulent flow. Annual Review Fluid Mechanics, v. 13, 457 – 515 (1981).
Chandrasekhar S. The theory of axisymmetric turbulence. Phil. Trans. Roy. Soc. London, A242, 557 – 577 (1950).
Chandrasekhar S. The decay of axisymmetric turbulence. Proc. Roy. Soc. London, A203, 358 – 364 (1950).
Chandrasekhar S. Liquid Crystals. Cambridge University Press (1977).
Charney J.G. Geostrophic turbulence. J. Atmos. Sci., v. 28, 1087 –1095 (1971).
Charney J.G. Nonlinear theory of a wind driven homogeneous layer near the Equator. Deep-Sea Res., v.6, # 4, 303 – 310 (1960).
Chevray R. The turbulent wake of a body of revolution. Trans. Amer. Mech. Eng., ser D (J. Basic Engng.), v.90, # 2 (1968).
Chevray R., Kovasznay L.G.S. Turbulence measurements in the wake of a thin plate. AIAA J., v.7, # 8 (1969).
Chimonas G., Hauser H.M. The transfer of angular momentum from vortices to gravity swirl waves. J. Atmos. Sci., v. 54, 1701–1711 (1997).
Comte-Bellot G. Ecoulement Turbulent Entre Deux Parois Paralleles. Edite Scient. Techn. Paris (1965).
Condiff D.W., Brenner H. Transport mechanics in the system of orientable particles. Physics of Fluids, v. 12, # 3, 539 – 551 (1969).
Condiff D.W., Dahler J.S. Fluid mechanical aspects of antisymmetric stress. Physics of Fluids, v.7, # 6, 842 – 854 (1964).
Corino E.R., Brodkey R.S. A visual investigation of the wall region in turbulent flow. J. Fluid Mech., v. 37, # 1, 1–30 (1969).
Corrsin S. Limitations of gradient transport models in random walks and in turbulence. Advances in Geophysics. V. 18A, 25 – 60 (1974).
Corrsin S., Kistler A. Free-steam boundaries of turbulent flows. NASA Report 1244 (1965).
Cosserat E. et F. Theorie des Corps Deformables. Paris: Herman (1909).
Cox J. P. Theory of Stellar Pulsation. Princeton University Press (1980).
Dahler J.S. Transport phenomena in a fluid composed of diatomic molecules. J. Chem. Phys., v. 30, p. 1447 (1959).
Dahler J.S., Scriven L. Angular momentum of continua. Nature, # 4797, Oct. 7 (1961).
Dahler J.S., Scriven L. Theory of structured continua: general consideration of angular momentum and polarization. Proc. Roy. Soc., A275, 504 – 527 (1963).
Daily J.W. Some aspects of flowing suspensions. Proc. IX Midwestern Mechanics Conference. Madison, Wisconsin., August 16–18 (1965).
Daily J.W., Roberts P.R. Rigid particle suspensions in turbulent shear flow: some size effects with spherical particles. Tappi, v. 49, # 3, 115 –125 (1966).
Danilov A.I., Ivchenko V.O., Nikolaevskiy V.N. On large-scale circulation of barotropic ocean with parameterization of synoptic eddies. Proc. USSR Acad. of Sci. (DAN), v.262, # 6 (1982).
Danilov A.I. Non-stationary barotropic circulation with account of action of sub-net scale. Trans. of Arctic and Antarctic Institute, v. 387. Leningrad: Gidrometeoizdat (1982).
De Groot S.R., Mazur P. Non-equilibrium Thermodynamics. Amsterdam: North-Holland (1962).
De Groot S.R., Sattorp L.H. Electrodynamics. Amsterdam, North-Holland (1972).
De Gennes P. G. The Physics of Liquid Crystals. Oxford, Clarendon (1974).
Dopazo C. On conditioned averages for intermittent turbulent flows. J. Fluid Mechanics, v.81, pt 3 (1977).
Dryden H.L. A review of the statistical theory of turbulence (1942). In: “Classic Papers on Statistical Theory”, Friedlander S. K., Topper L., Eds. New York: Interscience, 115 – 150 (1961).
Dryden H.L., Murnaghan F.D., Bateman H. Hydrodynamics. Dover Publications Inc., New York (1956).
Dryden W.A. Effects on the scale of spatial averaging on the kinetic energies of small – scale turbulent motion. J. Meteorology, v. 14, # 4, 287 – 292 (1957).
Eckman J.P. Jarvenpaa E., Jarvenpaa M. Porosities and dimensions of measures. Nonlinearities, v. 13, 1– 18 (2000).
Egger J. Angular momentum of /I - plane flows. J. Atmos. Sci., v. 58, 2502 – 2508 (2001).
Egger J., Hoinka K.-P. Mountain torques and the equatorial components of global angular momentum. J. Atmos. Sci., v. 57, 2319 – 2331 (2000).
Einstein A. Eine neue bestimmung der molekuldimensionen. Annalen der Physik, v. 19, 289 – 306 (1906).
El Telbany M. M. M. and Reynolds A.J. The structure of turbulent plane Couette flow. Transactions of ASME. Journal of Fluids Engineering, v. 104, # 3, 367 – 372 (1982).
Emanuel K.A. The theory of hurricanes. Ann. Rev. Fluid Mech., v. 23, 179 – 196 (1991).
Erechnev D.A. Leontiev D.I., Melnikova O.N. Generation of cylindrical vortexes at a bottom that resists to water flows. Physics of Atmosphere and Ocean, v. 14, # 6, 835 – 841 (1998)
Ericksen J. L. Anisotropic fluids. Arch. Rat. Mech. and Analysis, v. 4, 231 – 237 (1960).
Ericksen J. L. Conservation laws for liquid crystals. Trans. Soc. Rheol. V.5. # 1. 23 – 34 (1961).
Ericksen J. L. Orientation induced by flow. Trans. Soc. of Rhelogy, v. 6, 275 – 291 (1962).
Eringen A.C., Chang T.S. A micropolar description of hydrodynamic turbulence. In: Recent Advances in Engineering Science. V. 5, part 2. Gordon and Breach, New York, 1 – 8 (1970).
Eringen A.C. Micromorphic description of turbulent channel flow. J. Math. Anal. and Appl., v. 39, # 1, 253 – 266 (1972).
Eskinazi S., Yeh H. An investigation of fully developed turbulent flows in a curved channel. J. Aeron. Sci., v. 23, # 1, 23 – 34 (1956).
Eskinazi S., Erian F.F. Energy reversal in turbulent flows. Phys. F.uids, v. 12, # 10, (1969).
Fedorov K.N. Selected Works in Physical Oceanology. Leningrad: Gidrometeoizdat, 162–173 (1991).
in Science and Technology. Hydromechanics, 97 – 338. Moscow: VINITI (1970).
Fenton D.L., Stukel J.J. Flow of a particulate suspension in the wake of a circular cylinder. Int. J. Multiphase Flow, v.3, # 2 (1976).
Ferrari C. On the differential equations of turbulent flow. In: Continuum Mechanics and Related Problems of Analysis. (The N.I. Muskhelishvili 80th Anniversary). Moscow, Nauka (1972).
Ferziger J.H. Large eddy numerical simulation of turbulent flows. AIAA J., v. 15, # 9, 1261– 1267 (1977).
Free Turbulent Shear Flows. Proc. Conf. at NASA Langley Research Center, Hampton, Virginia, July 20–21, 1972; v. 2 - Summary of Data. Washington D.C., NASA SP-321 (1973).
Frenkel Ya. I. Kinetic Theory of Fluids. Oxford University Press. ( 1946 ); Dover, New York (1955).
Fridman A.A., Keller L.V. Differentialgleichungen fur die turbulente Bewegung einer kompressibelen Flussigkeit. Proc. First Intern. Congress Appl. Mech., Delft, 395 – 405. 1925; In: A. A.Fridman. Collected works. Moscow: Nauka (1966).
Frost W., Moulden T. H., Eds. Handbook of Turbulence, v. 1, Plenum, New York (1977).
Gence J.N. Homogeneous turbulence. Annual Review Fluid Dynamics, v. 16, 201 –222 (1983).
Gledzer E.B., Dolzhansky F.V., Obukhov A.M. Systems of Hydrodynamic Types and Their Applications. Moscow: Nauka, 368 pp. (1981).
Goldshtick M.A. Vortex Flows. Novosibirsk: Nauka, 366 pp (1981).
Goldstein S., ed. Modern Development in Fluid Dynamics. Fluid Motion Panel. Aeronautical Research Committee. London (1943).
Gorodtzov V. A. Degeneration of fluid turbulence with internal rotation. J. A.pl. Mech. Tech. Phys., # 3 (1967).
Govindaraju S.P., Saffman P.G. Flow in a turbulent trailing vortex. P.ysics of Fluids. V.14. No 10. PP. 2074–2080 (1971).
Gray D.F., Linsky J.L., Eds. Stellar Turbulence. Berlin: Springer (1980).
Gurzhienko H.A. Action of liquid viscosity onto laws of turbulent stream inside straight tunnel with smooth walls. Proc. TSAGI, # 303. Moscow (1936).
Gurzhienko H.A. Account for viscosity within the Karman’s theory of turbulence. Proc. TSAGI, # 322. Moscow (1937).
Gurzhienko H.A. On steady turbulent stream inside conical diffusers with small angles of opening. Proc. TSAGI, # 462. Moscow (1939).
Haken H. Advanced Synergetics. Berlin: Springer-Verlag (1978).
Happel J., Brenner H. Hydrodynamics of the Small Reynolds’s Numbers. Leyden: Noordhoff (1973).
Head M. R., Bandyopadhyay P. New aspects of turbulent structure. J. Fluid Mech., v. 107, 297 – 337 (1981).
Heinloo J. Phenomenological Mechanics of turbulent Flows. Tallin: Valgus (1984).
Heisin D.E. On derivation of averaged equations of glacial cover dynamics with account of asymmetry of stress tensor. Trans. USSR Acad. Sci. (Izvestia) Physics of Atmosphere and Ocean, v. 13, # 8 (1977).
Hellerman S. An adapted estimate of the wind stress on the World Ocean. Monthly Weather Rev., v. 95, # 9 (1967).
Hills R, Roberts P. Super fluid mechanics under high concentration of eddy’s lines. Archive for Rational Mechanics and Analysis, v. 66, # 1, 43 – 71 (1977).
Hinze J. O. Turbulence. Mechanism and Theory. New York: McGraw (1959).
Hinze J.O. Turbulent flow regions with shear stress and mean velocity gradient of opposite sign. Appl. Sci. Res., v. 22, 163 –175 (1970).
Howard L.N. Divergence formulas involving vorticity. Arch. Rational Mech. Anal., v. 1, 113–123 (1958).
Hsieh R. Conductive micro-magnetic fluid. The 4th Bulgaria Congress on Mechanics. Varna, 957 – 963 (1981).
Ibbetson A., Tritton D.J. Experiments on turbulence in a rotating fluid. J. Fluid Mech., v.68, pt 4, 639 – 672 (1975).
Immich H., Impulsive motion of a suspension: effect of antisymmetric stresses and particle rotation. Int. J. Multiphase Flow, v. 6, # 5, 441– 471 (1980).
Iskenderov D.Sh. Turbulent wake of suspension of rotating solid particles flow past a body. Applied Mechanics (Kiev), v. 16, # 2 (1980).
Iskenderov D. Sh. Equation of turbulent flow with intermittency. Applied Mechanics (Kiev), v. 16, # 12 (1980).
Iskenderov D. Sh., Nikolaevskii V.N. Turbulent wake of a body and asymmetric hydrodynamics. Letters Appl. Engng. Sci., v.5, # 3. (1977).
Iskenderov D. Sh., Nikolaevskii V.N. Mathematical model tornado-like motions with internal eddies. Proc. USSR Acad. Sci. (DAN), v.315, # 6. (1990).
Iskenderov D. Sh., Nikolaevskii V.N. Laminar core of atmosphere turbulent eddies. Proc. USSR Acad. Sci. (DAN), v.319, # 1. (1991).
Ivchenko V.O. Fluid dynamics on a rotating plane: averaged equations. Letters Appl. Engng. Sci., v.5, # 6 (1978).
Ivchenko V.O. On application of asymmetrical mechanics to geophysical hydrodynamics. Proc. Arctic and Antarctic Inst., v. 357. Leningrad: Gidrometeoizdat (1979).
Ivchenko V.O., Klepikov A.V. Quasigeostrophic model of ocean circulation with parametric account of mesoscale motions. Proc. Arctic and Antarctic. Inst., v. 387. Leningrad: Gidrometeoizdat (1982).
Ivchenko V.O., Maslovskiy M.I. On asymmetrical dynamics of glacial cover. Proc. Arctic and Antarctic Inst., v. 357. Leningrad: Gidrometeoizdat (1979).
Jaunzemis W. Continuum Mechanics, New York: McMillan (1967).
Joseph D. D. Stability of Fluid Motions. Berlin: Springer (1976).
USSR Acad. Sci., Physics of Atmosphere and Ocean, v. 8, # 10, (1972).
Kaloni P.N., De Silva C.N. Oriented fluids and the rheology of suspensions. Phys. Fluids, v. 12, # 5, 994–999 (1969).
Karman T Some aspects of the theory of turbulent motion. Proc. Intern. Congress for Applied Mechanics, Cambridge (1934).
Karman T., Howarth L. On statistical theory of isotropic turbulence. Proc. Roy. Soc., A164, 192–21. 5 (1938).
Kiniaki N., Naomichi H. Turbulent near wake of a flat plate. Pt 1. Incompressible flow. Bull. Japan Soc. Mech. Engng., v.17, # 108 (1974).
Kline K.A. Prediction from polar fluid theory, which are independent of spin boundary condition. Trans. Soc. Rheol., v.19, p.139 (1975).
Kline K.A. A spin–vorticity relation for unidirectional plane flows of micropolar fluids. Int. J. Eng. Sci., v, 15, 131–134 (1977).
Kline K.A., Carmi Sh. On the stability of motions of a dilute suspension of a rigid spherical particles. Bull. del’ Acad. Polonaise des Sci., ser. Sci. - Techn., v. 20, # 9 (1972).
Kline K.A., Sandberg T.K. A polar fluid estimate of relative force. Acta Mech., v. 26, 201–222 (1977).
Kochin N.E. Vector Calculus and First Course in Tensor Calculus. Leningrad: USSR Acad. Sci. Press, the 7th edition (1951).
Kochin N.E., Kibel I.A., Rose N.V. Theoretical Hydrodynamics, v. 1/2. Leningrad - Moscow: OGIZ (1948).
Kolmogorov A. N. The local structure of turbulence in incompressible viscous fluid for very large Reynolds’s numbers. Proc. USSR Acad. Sci. (DAN), v. 30, # 4 (1941); “Classic Papers on Statistical Theory”, Interscience, New York, 151–155 (1961).
Kolmogorov A. N. On degeneration of isotropic turbulence in an incompressible viscous liquid. Proc. USSR Acad. Sci. (DAN), v. 31, # 6 (1941); “Classic Papers on Statistical Theory”, Interscience, New York, 156–158 (1961).
Kolmogorov A. N. Dissipation of energy in locally isotropic turbulence. Proc. USSR Acad. Sci. (DAN), v. 32, # 1 (1941); “Classic Papers on Statistical Theory”, Interscience, New York, 159–161 (1961).
of USSR Acad. Sci., ser. Physics, v. 6, # 1 /2 (1942).
Kolmogorov A.N. On fragmentation of drops in turbulent flow. Proc. USSR Acad. Sci. (DAN), v. 66, # 5 (1949).
Kossin J.P., Schubert W.H., Montgomery M.T. Unstable interactions between a hurricane’s primary eyewall and the secondary ring of enhanced vorticity. J. Atmos. Sci., v. 57, # 24, 3893 – 3917 (2000).
Kovasznay L.S.G. Structure of the turbulent boundary layer. Phys. Fluids, v.10, pt 2, 25–30 (1967).
Kovasznay L.S.G., Kibens V., Blackwelder R.F. Large-scale motion in the intermittent region of turbulent boundary layers. J. Fluid Mech., v. 41, pt 2 (1970).
Krause F., Radler K.-H., Mean-Field Magneto-Hydrodynamics and Dynamo Theory. Berlin: Academia-Verlag (1980).
Krasnov Yu. K. Evolution of tornadoes. In: Nonlinear Waves: Structures and Bifurcations. Moscow: Nauka, 174 –189 (1987).
Kruka V., Eskinazi S. The wall – jet in a moving stream. J. Fluid Mech., v. 20, pt 4, 555 – 579 (1964).
Kurgansky M.V. Helicity generation in moist air. Physics of Atmosphere and Ocean, v. 29, # 4 (1993).
Kurgansky M.V. Vorticity generation in moist air. Physics of Atmosphere and Ocean, v. 34, # 2 (1998).
Laihtman D.L., Kagan B.A., Oganesian L.A., Piaskovskiy R.V. On global circulation in barotropic ocean of variable depth. Proc. USSR Acad. Sci. (DAN), v.198, # 2 (1971).
Landau L.D. On the problem of turbulence. Proc. USSR Acad. Sci. (DAN), v. 44, (1944).
Landau L.D., Lifshits E.M. Mechanics of Continuum Media, The 2nd edition. Moscow: Gostekhizdat (1953).
Landau L.D., Lifshits E.M Theory of Elasticity. The 41h edition. Moscow: Hauka (1987).
Laufer J. Investigation of Turbulent Flow in a Two-Dimensional Channel. NACA TN # 2123 (1950).
Laufer J. The Structure of Turbulence in Fully Developed Pipe Flow. NACA Report # 1174 (1955).
Lavrentiev M.A., Shabat B.V. Problems of Hydrodynamics and their Mathematical Models. Moscow: Nauka (1977).
Lavrovskiy E.K., Semenova I.P., Slezkin L.N., Fominykh V.V. Mediterranean lenses – fluid gyroscopes in ocean. Proc. Russian Acad Sci., (DAN), v. 375. # 1 (2000).
Leonard A. Energy cascade in large-eddy simulations of turbulent fluid flow. Advances in Geophysics, v. 18A, 237 – 248 (1974)
Leslie F. M. Some constitutive equations for liquid crystals. Arch. Ration. M.ch. and Analysis, v. 28. # 4, 265 – 283 (1968).
Levine V.M., Nikolaevskiy V.N. On volume averaging and continuum theory of elastic media with microstructure. In: Modern Problems of Mechanics and Aviation. Moscow: Mashinostroenie (1982).
Lewellen D.C., Lewellen W.S., Xia J. The influence of a local swirl ratio on tornado intensification near the surface. J. Atmos. Sci., v. 57, 527 – 544 (2000).
Liepmann H.W. Aspects of the turbulence problem. J. Appl. Math. Phys. (ZAMP), v. 3, # 5/6 (1952).
Lilly D.K. On the structure, energetic and propagation of rotating convective storms. J. Atmos. Sci., v. 43, Part 1: 113–125; Part 2: 126 – 140 (1986).
Lin C.C. On periodically oscillating wake in the Oseen approximation. In: Studies in Mathematics and Mechanics (Presented to R. Von Mises), 170 – 176, Acad. Press, New York (1954).
Lin C.C., Shu F. H.-S. Density wave theory of spiral structure. Astrophysics and General Relativity, v. 2, 236 – 329 (1968).
Listrov A.T. On model of viscous liquid with unsymmetrical stress tensor. J. Apple. Math. Mech. (PMM), v.31, # 1 (1967).
Littleton R.A. The Stability of Rotating Liquid Masses. Cambridge University Press (1953).
Loitzanskiy L.G. Mechanics of Fluids and Gases. Moscow: Nauka (1970).
Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci., v.20 (1963).
Lorenz E.N. The predictability of a flow, which possesses many scales of motion. Tellus, v. 21, # 3, 289 – 307 (1969).
Lugovzev B.A. Structure of the turbulent ring vortex in the disappearing viscosity limit. Proc. USSR Acad. Sci., v. 226, # 3 (1976).
Lumley J.L. Invariants in turbulent flow. Phys. Fluids, v. 9, # 11, 2111–2113 (1966).
Lupyan E.A., Mazurov A.A., Rutkevich P.B., Tur A.V. Large-scale vortex generation under spiral turbulence of convective nature. JETF, v. 102, # 5 (11), (1992).
Lurie M.V., Dmitriev N.M. Local model of turbulized medium. Proc.USSR Acad. Sci. (DAN), v.239, # 1 (1976).
Makarenko V.G., Tarasov V.F. Experimental model of tornado. J. Appl. Mech. Techn. Phys., # 5, 115 – 122 (1987).
Marshall J. S., Naghdi P.M. A thermodynamical theory of turbulence. L Basic developments. Phil. Trans. R. Soc. Lond., v. A327, 415 – 448 (1989).
Marshall J. S., Naghdi P.M. A thermodynamical theory of turbulence. Ii. Determination of constitutive coefficients and illustrative examples. Phil. Trans. R. Soc. London, v. A327, 449 – 475 (1989).
Marshall J. S., Naghdi P.M. Consequences of the second law for a turbulent fluid flow. Continuum Mech. Thermodynamics, v. 3, 65–77 (1991).
Mattioli G.D. Sur la theorie de la turbulence dans canaux. C.R. Acad. des Sci., Paris, v.196, # 8 (1933).
Mattioli G.D. Teoria della turbolenza. Rend. Acad. Naz. Dei Lincei, v.17, # 13, (1933).
Mattioli G.D. Teoria Dinamica dei Regimi Fluidi Turbolenti. Padova: CEDAM, (1937).
Maugin G.A., Eringen A.C. Deformable magnetically saturated media. Pt. 1–2, J. Math. Phys., v.13, # 2, 9, (1972).
Maugin G.A., Eringen A.C. Polarized elastic materials with electronic spin - a relativistic approach. J. Math. Phys., v.13, # 11 (1972).
Meachem S.P., Flieri G.R., Send U. Vortices in shear. Dyn. Atmos. Oceans, v. 14, 333 – 386 (1990).
Migun N.N., Prokhorenko P.P. Hydrodynamics and Heat Exchange in Gradient Flows of Microstructure Fluid. Minsk: Nauka i Teknika (1984).
Mindlin R.D. Micro - structure in linear elasticity. Archive of Rational Mechanics and Analysis, # 1, 51– 78 (1964).
Moffat H.K. The degree of knottedness of tangled vortex lines. J. Fluid Mech., v. 35, part 1, 117 – 129 (1968).
Moffat H.K. Turbulent dynamo action at low magnetic Reynolds number. J. Fluid Mech., v. 41, pt. 2, 435 –452 (1970).
Moffat H.K. Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press (1980).
Moin P., Kim J. The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous field and statistical correlators. J. Fluid Meek, v. 155, 441– 464 (1985).
Molinari J., Vallaro D. External influence on hurricane intensity. Part I: outflow layer eddy angular momentum fluxes. J. Atmos. Sci., v. 46, # 8, 1093 – 1105 (1989).
Monin A.S., Kamenkovich V.N., Kort V.M. Changeableness of World Ocean. Leningrad: Gidrometeoizdat (1974).
Monin A.S., Obukhov A.M. Basic laws of turbulent mixing in a ground layer of atmosphere. Trans. Geophys. Inst. USSR Acad. Sci., # 24 /151/, 163 –187 (1954).
Monin A.S., Yaglom A.M. Statistical hydromechanics. Mechanics of turbulence, parts 1/2.- Moscow: Fizmatgiz (1965 –1967).
Montgomery M.T., Vladimirov V.A., Denissenko P.V. An experimental study on hurricane mesovortices. J. Fluid Mech., v. 471, 1–32 (2002).
Naue H. Laws of conservation of non-classical hydrodynamics and their application to turbulent channel streams. Numerical Methods of Continuum Mechanics (Novosibirsk), v. 4, # 1 (1973).
Naue G., Kohlmann J., Schmidt W., Scholz R., Wolf P. Modellierung and berechnung turbulenter stromungen and anwendungen in der technik. Teil 1–2, Technische Mech. (1980/1982).
Nee V.W., Kovasznay L.S.G. Simple phenomenological theory of turbulent shear flows. Physics of Fluids, v.12, # 3 (1969).
Nemirovskiy Yu. V., Heinloo Ya. L. On averaged characteristics of movement of turbulized electro-conductive liquid in plane channel in external homogeneous electrical and magnetic fields. Magn. Hydrodynamics (Riga), # 3 (1976).
Sib. Branch USSR Acad. Sci., ser. Techn., # 3 (1978).
Nemirovskiy Y.V., Heinloo J.L. Local –Rotational Theory of Turbulent Flows. Novosibirsk University, 92 pp (1980).
Nemirovskiy Y.V., Heinloo J.L. Rotational-Anisotropic Turbulent Flows in Channels and Tubes. Novosibirsk University, 76 pp (1982).
Nesterovich N.I. Averaged equations of turbulent flow of heterogeneous mixtures. Inst. Theor. Appl. Mech. Siberian Branch USSR Acad. Sci. Preprint # 8–82 of, 37 pp.(1982).
Nemtzov V.B. Statistical theory of hydrodynamic and kinetic processes in liquid crystals. Theor. and Math. Physics, v. 25, # 1 (1975).
Nevzgliadov V.N. Thermodynamics of turbulent systems. JETF, v.39, # 6/12 (1960).
USSR Acad. Sci., Mech. Fluids and Gases, # 5 (1967).
Nieuwstadt F.T.M., Van Dop H., Eds, Atmospheric Turbulence and Air Pollution Modeling. Dordrecht: Riedel (1982).
Nigmatulin R.I. Foundations of Mechanics of a Heterogeneous Medium. Moscow: Nauka (1978).
Nigmatulin R.I., Nikolaevskiy V.N. Diffusion of eddy and conservation of moment of momentum within dynamics of non-polar liquids. J. Appl. Math. Mech. (PMM), v.34, # 2 (1970).
Nikolaevskiy V.N. Convective diffusion in porous media. J. Appl. Math. Mech. (PMM), v. 23, # 6 (1959).
Nikolaevskiy V.N. Asymmetrical mechanics of continua and averaged description of turbulent flows. Proc. USSR (DAN), v. 184, # 6 (1969).
Nikolaevskiy V.N. Asymmetrical mechanics of turbulent flows. J. Appl. Math. and Mech., (PMM), v. 34, # 3 (1970).
Nikolaevskii V.N. Asymmetric mechanics and the theory of turbulence. Archwum Mechaniki Stosowanej, v. 24, # 1, 43 – 51 (1972).
Nikolaevskiy V.N. Asymmetrical mechanics of turbulent flows. Energy and entropy. J. Appl. Math. and Mech. (PMM), v. 47, # 1 (1973).
Nikolaevskii V.N. Asymmetric mechanics of turbulence. The transfer of momentum and vorticity in a wake behind the body. In: Omaggio a Carlo Ferrari, Libreria Edit. Torino Univ., Levrotto and Bella (1974).
Nikolaevskiy V.N. Stress tensor and averaging within continuum mechanics. J. Appl. Math. and Mech. (PMM), v. 39, # 2 (1975).
Nikolaevskii V.N. On nonlinearity and anisotropy of turbulent viscosity. Letters Appl. Engng Sci., v.3, 395–404 (1975).
Nikolaevskiy V.N. Some modern problems of mechanics of multiphase mixture. In: Modern Problems of Theoretical and Applied Mechanics. Kiev: Naukova Dumka, (1978).
of Armenian Acad. Sci., Mechanics, v.32, # 4 (1979).
Nikolaevskii V.N. Short note on a space averaging in continuum mechanics. Int. J. Multiphase Flow, v.6, # 4 (1980).
Nikolaevskiy V.N. Spatial averaging and the turbulence theory. In: Eddies and Waves. Moscow: Mir, 266 – 335 (1984).
of Acad. Sci. of Armenian SSR, Mechanics, v. 41, # 2 (1988).
Nikolaevskii V.N. Dynamics of viscoelastic media with internal oscillators. In: Recent Advances in Eng. Sci., Lecture Notes In Engng., # 39, Berlin: Springer-Verlag, 210 – 221 (1989).
Nikolaevskiy V.N., Basniev K.S., Gorbunov A.T., Zotov G. A. Mechanics of Saturated Porous Media. Moscow: Nedra, 1970.
Nikolaevskiy V.N., Iskenderov D. Sh., Korzhov E. N. Turbulent fluid as a continuum with inherent structure. In: Works of the III All Union Seminar on Models of Mechanics of Continuum Medium. Novosibirsk: Computer. Center Sib. Div. USSR Acad. Sci. (1976).
Novozhilov V.V. Rheology of steady turbulent flows of incompressible fluid. Fluid Mechanics, # 3 (1973).
Novozhilov V.V. Theory of Plane Turbulent Boundary Layer of Incompressible Fluid. Leningrad: Sudostroenie. 165 pp. (1977).
Ozmidov R.V. Horizontal Turbulence and Turbulent Exchange in the Ocean. Moscow: Nauka (1968).
Palmen E., Riehl H. Budget of angular momentum and energy in tropical cyclones. J. Meteorology, v. 14, 150 – 292 (1957).
Pauley R.L. Laboratory measurements of axial pressures in two-celled tornado - like vortices. J. Atmos. Sci., v. 40, # 20, 3392 – 3399 (1989).
Pekeris C.L., Accad Y. Solution of Laplace equations for the M 2 tide in the World Ocean. Phil. Roy. Soc. London, v. 265, 225–234 (1969).
Perry A. E., Chong M. S. On the mechanism of wall turbulence. J. Fluid Mech. V. 119. 173 – 217 (1982).
Perry A. E., Henbest S., Chong M. S. A theoretical and experimental study of wall turbulence. J. Fluid Mech. V. 165. 163 – 199 (1986).
Petrosyan L.G. Some Problems of Fluid Mechanics with Asymmetric Stress Tensor. Erevan University Press (1984).
Pielke R.A. et al. Atmospheric vortices. In: Green S.I., ed. Fluid Vorticies. Chapter 14, 617 – 650. Dordrecht: Kluwer. (1995).
Poincare H. Theorie des Tourbillions. Paris: G. Carre, (1893).
Polubarinova – Kochina P. Ya. On one nonlinear equation for partial derivatives met in the theory of underground flows. Proc. USSR Acad. Sci. (DAN), v. 63, # 6 (1948).
Prandtl L. Neuere Ergebnisse der Turbulenzforschung. V.D. 1, v. 77, # 5 (1933).
Prandtl L. Fuhrer durch die Stromungslehre. Braunschweig: Vieweg (1956).
Praturi A.K., Brodkey R.S. A stereoscopic visual study of coherent structures in turbulent shear flow. J. Fluid Mech., v.89, pt. 2 (1979).
Putterman S.J. Superfluid Hydrodynamics. North-Holland, Amsterdam (1974).
Rae W. Flows with significant orientation effects. AIAA J. V.14, # 1, 11 – 16 (1976).
Rakhmatulin H.A. Foundations of gas-dynamics of interpenetrating movements of continuum media. J. Appl. Math, Mech. (PMM), v. 20, # 2 (1956).
Reynolds O. On the dynamic theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc, v. 186, 123 – 164 (1893).
Reynolds A.J. Turbulent Flows in Engineering. London. Wiley (1974).
Richardson L.F. The supply of energy from and to atmospheric eddies. Proc. Roy. Soc. A97, # 687, 354 – 373 (1920).
Robertson H. P. The invariant theory of isotropic turbulence. Proc. Camb. Phil. Soc., v, 36, # 2, 209–223 (1940).
Robertson J. M. On turbulent plane Couette flow. Proceedings of the 6`“ Midwestern Conference on fluid mechanics. Austin: Univ. of Texas, 169 – 182 (1959).
Rogallo R.S., Moin P. Numerical simulation of turbulent flows. Annual Review Fluid Dynamics, v. 16, 99 – 137 (1984).
Rogers M.M., Main P. The structure of voracity field in homogeneous turbulent flows. J. Fluid Mech., v. 176, 33 – 66 (1987).
Rothfusz L.P., Lilly D.K. Quantitative and theoretical analyses of an experimental helical vortex. J. Atmos. Sci., v. 46, # 14, 2265 – 2279 (1989).
Rudiger G. On negative eddy viscosity in MHD turbulence. Magnetic Hydrodynamics (Riga), # 1, 3 –14 (1980).
Rubinow S.I., Keller J.B. The transverse force on a spinning sphere moving in a viscous fluid. J. Fluid Mech., v. 11, part 3 (1961).
Saffman P.G. The lift on a small sphere in a slow shear flow. J. Fluid Mech., v. 22, pt 2, 385 – 400 (1965).
Saffman P.G. A model for inhomogeneous turbulent flow. Proc. Roy. Soc. London, A317, 417–433 (1970).
Saffman P.G. Vortex Dynamics. Cambridge University Press (1992).
Schlichting H. Grenzschicht - Theorie. Karlsruhe: Braun. (1965).
Sedov L.I. Mechanics of Continuous Media. Singapore: World Scientific (1991).
Semn J. Mathematical Principles of Classical Fluid Mechanics. Handbuch der Physik (Band VIl7/1). Berlin: Springer (1959).
Shahinpoor M. On the continuum theory of liquid crystals of the nematic type. Iranian J. Sci. Technol., v. 4, # 4, 111 –142 (1975).
Shapiro L.J., Montgomery M.T. A three-dimensional balance theory for rapidly rotating vortices. J. Atmos. Sci., v. 50, # 19, 3322 – 3335 (1993).
Shroedinger E. What is Life? The Physical Aspects of the Living Cell. Dublin Inst. Advanced Studies (1945).
Shliomis M.I. On hydrodynamics of fluids with internal rotation. J. Experiment. Theor. Phys. (JE’11~), v. 51, 258 – 265 (1966).
Shteenbek M., Krause F. Origin of star and planet magnetic fields as result of turbulent motion of their matter. Magnetic Hydrodynamics (Riga), # 3 (1967).
Smagorinsky J. General circulation experiments with the primitive equations. Monthly Weather Review, v. 91, 99 – 65 (1963).
Sorokin V.S. On internal friction of fluids and gases with concealed angular impulse. J. Experiment. Theor. Phys. (JEIF), v. 13, 306 – 312 (1943).
Starr V. Physics of Negative Viscosity Phenomena. New York: McGraw (1968).
Stojanovic R. Recent developments in the theory of polar continua. Wien: Springer (1972).
Straub D., Lauster M. Angular momentum conservation law and Navier-Stokes theory. Int. J. Non-Linear Mechanics, v. 29, # 6, 823 – 833 (1994).
Sutton O.G. Micrometeorology. New York: McGraw, (1953).
Suyasov V.M. On nonsymmetrical model of viscous electromagnetic fluid. J. Appl. Mech. Techn. Physics, # 2 (1970).
Sychov V.V. Viscous interaction of non-stationary vortex with solid surface. Fluid Dynamics, # 4 (1989).
Tamm I E Theory of Electricity Foundation. Moscow - Leningrad: al FL (1949).
Tang K.K., Welch W.T. Remarks on Charney’s note on geostrophyc turbulence. J. Atmos. Sci., v. 58, 2009–2012 (2001).
Tassul J.-L. Theory of Rotating Stars. Princeton University Press (1978).
Taylor G.I. On the dissipation of eddies. (1918).In: Taylor G.I. Scientific Papers, v. 2, 96–101, Cambridge University Press (1960).
Taylor G.I. The transport of vorticity and heat through fluids in turbulent motion. (1932).In: Taylor G.I. Scientific Papers, v. 2, 253–270, Cambridge University Press (1960).
Taylor G.I. Statistical theory of turbulence. Pts I – 1V. (1935).In: Taylor G.I. Scientific Papers, v. 2, 288–335, Cambridge University Press (1960).
Tilli D.R., Tilli J. Superfluidity and Superconductivity. New York: Reinhold (1974).
Townsend A.A. The fully developed turbulent wake of a circular cylinder. Austr. J. Sci. Res., A, v.2, # 2 (1949).
Townsend A.A. Structure of Turbulent Shear Flow. Cambridge University Press (1956).
Trofimov V.M. On effect of orientation turbulence properties on heat exchange. Vestnik of Moscow State Technical University, # 3 (1995).
Trofimov V.M. Physical effect in the Ranque vortex tubes. JETP Letters, # 5 (2000).
Trofimov V.M. Shtrekalkin S.I. On turbulent heat exchange in supersound flows with high local pressure gradient. Thermophysics of High Temperatures. V. 34, # 2, (1996).
Truesdell C. The Kinematics of Volrticity. Bloomington: Indiana University Press, 232 pp (1954).
Truesdell C. Stages of the development of the concept of stress.- In: Problems of Continuum Mechanics. (The N.I. Muskhelishvili 70th Aniversary), SIAM, Philadelphia, 556 – 564 (1961).
Truesdell K. Mechanical bases of diffusion. J. Chem. Phys., v. 37, # 10, 2336 – 2344 (1962).
Truesdell C. Six Lectures on Modern Natural Philosophy. New York: Springer, (1966).
Tsebers A.O. Internal rotation in hydrodynamics of weakly conducting dielectric suspensions. Fluid Dynamics, # 2 (1980).
Urpin V. Kinematic turbulent dynamo in a shear flow. Geophys. Astrophys. Fluid Dynamics, v. 95, 209 – 284 (2001).
Vainstein S.I., Zeldovich Ya. B., Ruzmaikin A.A. Turbulent Dynamo in Astrophysics. Moscow: Nauka (1980).
Volovitskaya Z.I. Mashkova G.B. On wind profile and turbulence features in a lower 300-meters atmosphere layer. In: “Studies of lower 300-meters Atmosphere Layer”, Moscow: USSR Acad. Sci. Press, 14 – 25 (1963).
Voronov V.A., Ivchenko V.O. On account for action of mesoscale movements onto large-scale oceanic circulation. Oceanologia, v.18, # 6 (1978).
Wang C.C. A new representation theorem for isotropic functions. Arch. Rational Mech. Anal., v. 36, # 3 (1970).
Wattendorf F.L. A study of the effect of curvature on fully developed turbulent flow. Proc. Roy. Soc. London, A148, 565 – 598 (1935).
Xi H.-W., Toral R., Gunton J.D., Tribelsky M.I. Extensive chaos in the Nikolaevskii model. Physical Review, v. E62, # 1, R17 – R20 (2000).
Yakimov Y. L. Tornado and special limit solution of the Navier – Stokes equations. Fluid Dynamics, # 6 (1988).
Yakimov Y. L. On class of non-stationary self-similar flows without “essential” singularities and tornado generation mechanism. Fluid Mechanics, # 4 (1992).
Yanenko N.N., Grigoriev Yu.N., Levinskiy V.B., Shavaliev M. Sh. Non-equilibrium statistical mechanics of point eddy systems in ideal liquid and its applications to modeling of turbulence. Novosibnirsk,, Inst. Theor. Appl. Mech., Preprint # 22–82, (1982).
Yantovskiy E.I. On analogy between transfer from two-dimensional turbulence and orientation magnetization. Magnetic Hydrodynamics (Riga), # 2 (1974).
Zagustin A.I. Equations of turbulent fluid flow. Trans. Voronezh State University, v. X, # 2/3, 7 – 39 (1938).
Zaikovskii V.N., Trofimov V.M. Mechanics of stratification of turbulent heat transfer in a sound field in the presence of rotational anisotropy of the flow. JETP Letters, v. 65, # 2 (1997).
Zeldovich Ya. B., Kompaneetz A.S. On the theory of heat conductivity depending on temperature. In “Collection dedicated to the 70th Birthday of Academician A.F. Ioffe”, Moscow: USSR Acad. Press, 40 – 51 (1950).
Zeldovich Ya. B., Raizer Yu. P. Physics of Shock Waves and High Temperature Hydrodynamics Phenomena. Moscow: PhysMatGiz (1966).
Zhang Z., Eisele K. On the directional dependence of turbulence properties in anisotropic turbulent flows. Experiments in Fluids. V. 24. 77 – 82 (1998).
Zhukovskiy N.E. Eddy theory of frontal resistance (1919) In: “Works Collection”, Moscow: G11TL, v. 4 (1949).
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Nikolaevskiy, V.N. (2003). Literature. In: Angular Momentum in Geophysical Turbulence. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0199-0_9
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