Viscous flows and instabilities near rotating bodies
Tài liệu tham khảo
Abu-Abdou, 1974
Andereck, 1983, New flows in a circular Couette system with co-rotating cylinders, Phys. Fluids, 26, 1395, 10.1063/1.864328
Astaf'eva, 1985, Numerical simulation of spherical Couette flow asymmetric relative to the plane of the equator, Fluid Dyn., 20, 383, 10.1007/BF01049989
Astaf'eva, 1978, Stability and non-uniqueness of liquid flow in rotating spherical layers, Dokl. Akad. Nauk. SSSR, 245, 52
Astaf'eva, 1978, Numerical study of non-linear axisymmetric flow of fluid between two concentric rotating spheres, 56
Bartels, 1978, Rotationssymmetrische Strömungen im Spalt konzentrischer Kugeln
Bartels, 1982, Taylor vortices between two concentric rotating spheres, J. Fluid Mech., 119, 1, 10.1017/S0022112082001244
Bartels, 1980, Taylor vortices in spherical gaps, 415
Batchelor, 1951, Note of a class of solutions of the Navier-Stokes equations representing steady rotationally symmetric flow, Q. J. Mech. Appl. Math., 4, 29, 10.1093/qjmam/4.1.29
Benjamin, 1978, Bifurcation phenomena in steady flow of a viscous fluid, 359, 1
Bödewadt, 1940, Die Drehströmung über festem Grund, Z. Angew. Math. Mech, 20, 241, 10.1002/zamm.19400200502
Bonnet, 1976, Ecoulement entre deux sphères concentriques en rotation, J. Méc., 15, 373
Bouabdallah, 1979, 368
Bratukhin, 1961, On the evaluation of the critical Reynolds number for the flow between two rotating surfaces, J. Appl. Math. Mech., 25, 1286, 10.1016/0021-8928(61)90008-9
Breiter, 1962, Laminar flow between two parallel rotating disks
Bühler, 1985
Bühler, 1986, Advances in Taylor vortex flow:, 62, 47
Burkhalter, 1973, Steady supercritical Taylor vortex flow, J. Fluid Mech., 58, 547, 10.1017/S0022112073002326
Burkhalter, 1974, Steady supercritical Taylor vortices after sudden starts, Phys. Fluids, 17, 1929, 10.1063/1.1694646
Chung, 1977, Hydrodynamic instability of viscous flow between rotating coaxial cylinders with fully developed axial flow, J. Fluid Mech., 81, 641, 10.1017/S0022112077002274
Cliffe, 1985, A numerical and experimental study of anomalous modes in the Taylor experiment, J. Fluid Mech., 153, 243, 10.1017/S0022112085001240
Cochrain, 1934, The flow due to a rotating disk, 30, 365
Cognet, G., private communication.
Coles, 1965, Transition in circular Couette flow, J. Fluid Mech., 21, 385, 10.1017/S0022112065000241
Coles, 1967, A note on Taylor instability in circular Couette flow, Trans. ASME E. J. Appl. Mech., 34, 529, 10.1115/1.3607738
Coney, 1970, Hydrodynamic stability of the flow between eccentric rotating cylinders with axial flow: visual observations, 184, 10
Conover, 1968, Laminar flow between a rotating disk and a parallel stationary wall with and without radial inflow, Trans. ASME D. J. Basic Eng., 90, 325, 10.1115/1.3605099
Couette, 1980, Études sur le frottement de liquides, Ann. Chim. Phys. 6 Ser., 21, 433
Davey, 1962, The growth of Taylor vortices in flow between rotating cylinders, J. Fluid Mech., 14, 336, 10.1017/S0022112062001287
Dennis, 1984, Finite difference solution to the flow between two rotating spheres, Comp. Fluids, 12, 77, 10.1016/0045-7930(84)90016-1
Di Prima, 1975, The nonlinear calculation of Taylor vortex flow between eccentric rotating cylinders, J. Fluid Mech., 67, 85, 10.1017/S0022112075000183
Di Prima, 1981, Instabilities and Transition in flow between concentric rotating cylinders, 139
Eiteneuer, 1969, Störwellenlängen-Messungen bei Längswirbeln in laminaren Grenzschichten an konkav gekrümmten Wänden, Acta Mech., 7, 161, 10.1007/BF01176665
Euteneuer, 1970, Einige Ergebnisse experimenteller Untersuchungen an instationären Görtler-Taylor-Wirbeln, Z. Angew. Math. Mech., 50, 177, 10.1002/zamm.19700500186
Euteneuer, 1971, Längswirbel bei der laminaren Umströmung teilweise eintauchender, rotierender Walzen, Forsch. Ingenieurwes. VDI, 37, 173, 10.1007/BF02558747
Euteneuer, 1972, Die Entwicklung von Längswirbeln in zeitlich anwachsenden Grenzschichten an konkaven Wänden, Acta Mech., 13, 215, 10.1007/BF01586794
Euteneuer, 1968, Der Bodeneinfluss bei Anlauf- und bei Bremsströmungen zäher Flüssigkeiten in rotierenden Zylindergefässen, Z. Angew. Math. Mech., 48, 190
Fenstermacher, 1979, Dynamical instabilities and the transition to chaotic Taylor vortex flow, J. Fluid Mech., 94, 103, 10.1017/S0022112079000963
Görtler, 1940, Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wänden, Nachr. Ges. Wiss. Göttingen. Math. Phys. Kl. Neue Folge I, Bd. 2, 1
Gorman, 1982, Spatial and temporal characteristics of modulated waves in circular Couette systems, J. Fluid Mech., 117, 123, 10.1017/S0022112082001554
Gregory, 1955, On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk, Phil. Trans. R. Soc. London Ser. A, 248, 155, 10.1098/rsta.1955.0013
Grohne, 1956, Über die laminare Strömung einer kreiszylindrischen Dose mit rotierendem Deckel, Nachr. Akad. Wiss. Göttingen Kl. IIa Math. Phys. Chem. Abt.
Hocking, 1981, The instability of flow in the narrow gap between two prolate spheroids. Part II Arbitrary axis ratio, Q. J. Mech. Appl. Math., 4, 34
Hocking, 1981, The instability of flow in the narrow gap between two prolate spheroids. Part II Arbitrary axis ratio, Q. J. Mech. Appl. Math., 4, 475, 10.1093/qjmam/34.4.475
Israeli, 1971, Time dependent motion of confined rotating fluids
Joseph, 1976
Jones, 1983, Flow in the narrow gap between two concentric rotating spheres, Synopsis Taylor Vortex Flow
von Kármán, 1921, Über laminare und turbulente Reibung, Z. Angew. Math. Mech., 1, 4
Kirchgässner, 1961, Die Stabilität der Strömung zwischen zwei rotierenden Zylindern gegenüber Taylor-Wirbeln für beliebige Spaltweiten, Z. Angew. Math. Phys., 12, 14, 10.1007/BF01601104
Khlebutin, 1968, Stability of fluid motion between a rotating and stationary concentric sphere, Fluid Dyn., 3, 31, 10.1007/BF01022871
Kobayashi, 1983, Boundary layer transition on a rotating cone in still fluid, J. Fluid Mech., 127, 353, 10.1017/S0022112083002761
Kobayashi, 1985, Spiral vortices in boundary layer transition on a rotating cone, 573
Kobayashi, 1983, Boundary layer transition on a rotating cone in axial flow, J. Fluid Mech., 127, 341, 10.1017/S002211208300275X
Kobayashi, 1980, Spiral vortices in boundary layer transition regime on a rotating disk, Acta Mech., 35, 71, 10.1007/BF01190058
Kohama, 1984, Study on boundary layer transition of a rotating disk, Acta Mech., 50, 193, 10.1007/BF01170959
Kohama, 1984, Behaviour of spiral vortices on a rotating cone in axial flow, Acta Mech., 51, 105, 10.1007/BF01177066
Kohama, 1983, Behaviour of spiral vortices on rotating axi-symmetric bodies, Rep. Inst. High Speed Mech. Tohoku Univ, 47, 27
Kohama, 1983, Boundary layer transition and the behaviour of spiral vortices on rotating spheres, J. Fluid Mech., 137, 153, 10.1017/S0022112083002335
Köhler, 1971, Die Strömung zwischen zwei parallelen, rotierenden Scheiben, Acta Mech., 12, 33, 10.1007/BF01178388
Köhler, 1971, Theoretical and experimental investigations of the laminar flow between a stationary and a rotating disk, J. Méc., 10, 565
Koschmieder, 1979, Turbulent Taylor vortex flow, J. Fluid Mech., 93, 515, 10.1017/S0022112079002639
Kowalenko, 1985, Rotating cylinder over a medium at rest
Kullen, 1979, Scheibenreibung bei hochviskosen Flüssigkeiten mit temperatur-abhängiger Viskosität
Mathis, 1985, Experiments on impulsive spin-down to rest, Phys. Fluids, 28, 449, 10.1063/1.865108
Mellor, 1968, On the flow between a rotating and a stationary disk, J. Fluid Mech., 31, 95, 10.1017/S0022112068000054
Michaelidis, 1977, Reibungsmomente der instationären Bremsströmung am Zylindermantel eines flüssigkeitsgefüllen zylindrischen Gefässes, Acta Mech., 26, 1, 10.1007/BF01177133
Müller, 1971, Über die laminare Strömung in einer inkompressiblen Flüssigkeit zwischen einer rotierenden Scheibe und einer festen Wand bei kleinen Spaltbreiten und radialem Massenstrom, Acta Mech., 11, 99, 10.1007/BF01368121
Munson, 1971, Viscous incompressible flow between concentric rotating spheres, J. Fluid Mech., 49, 289, 10.1017/S0022112071002064
Munson, 1975, Viscous incompressible flow between concentric rotating spheres, part 3, J. Fluid Mech., 69, 705, 10.1017/S0022112075001644
Nakabayashi, 1978, Frictional moment of flow between two spheres, one of which rotates, Trans. ASME I: Fluids Eng., 100, 97, 10.1115/1.3448622
Nakabayashi, 1983, Transition of Taylor-Görtler vortex flow in spherical Couette flow, J. Fluid Mech., 132, 209, 10.1017/S0022112083001561
Neitzel, 1979, Centrifugal instability of decelerating swirl-flow within finite and infinite circular cylinders
Neitzel, 1980, Energy stability theory of decelerating swirl flows, Phys. Fluids, 23, 432, 10.1063/1.863010
Neitzel, 1981, Centrifugal instabilities during spin-down to rest in finite cylinders, 102, 329
Ovseenko, 1963, Über die Bewegung einer viskosen Flüssigkeit zwischen zwei rotierenden Kugelflächen, Izv. Vvssh. Uchebn. Zaved. Math., 4, 129
Pantell, Versuche über Scheibenreibung, Forsch. Ingenieurwes., 16, 97, 10.1007/BF02592334
Piesche, 1978, Strömung und Wärmeübergang in einem inkompressiblen viskosen Medium zwischen zwei parallelen synchron rotierenden Scheiben mit radialem Durchfluss
Lord, 1916, On the dynamics of revolving fluids, 93, 148
Reimann, 1968
Roesner, 1977, Numerical calculation of hydrodynamic stability problems with time-dependent boundary conditions, 1
Rumez, 1979, Berechnung der laminaren Strömung im Innern einer abgebremsten Hohlkugel
San'kov, 1985, Bifurcation and transition to turbulence in the gap between rotating and stationary parallel disks, Fluid Dyn., 19, 695, 10.1007/BF01093534
Sawatzki, 1970, Das Strömungsfeld um eine rotierenden Kugel, Acta Mech., 9, 159, 10.1007/BF01179821
Sawatzki, 1970, Das Stromfeld im Spalt zwischen zwei konzentrischen Kugelflächen, von denen die innere rotiert, Acta Mech., 9, 13, 10.1007/BF01176606
Schilling, 1979, Strömung in Radseitenräumen von Kreiselpumpen, 27
Schulz-Grunow, 1921, Der Reibungswiderstand rotierender Scheiben im Gehäuse, Z. Angew. Math. Mech., 15, 191, 10.1002/zamm.19350150403
Schrauf, 1983, Lösungen der Navier-Stokes Gleichungen für stationäre Strömungen im Kugelspalt
Siegle, 1975, Die Radialspalströmung für Flüssigkeiten mit grossen Prandtl-Zahlen und temperatur-abhängiger Viskosität Dissertation, 18
Smith, 1947, Nat Adv. Comm. Aeronaut. Tech. Notes
Soo, 1958, Laminar flow over an enclosed rotating disk, Trans. ASME, 80, 287
Soward, 1983, The linear stability of the flow in the narrow gap between two concentric rotating spheres, Q. J. Mech. Appl. Math., 36, 19, 10.1093/qjmam/36.1.19
Stewartson, 1953, On the flow between two rotating coaxial disks, 49, 333
Stuart, 1958, On the non-linear mechanism of hydrodynamic stability, J. Fluid Mech., 4, 1, 10.1017/S0022112058000276
Taylor, 1923, Stability of a viscous liquid contained between two rotating cylinders, Phil. Trans. A, 223, 289, 10.1098/rsta.1923.0008
Taylor, 1950, The boundary layer in the converging nozzle of a swirl atomizer, Q. J. Mech. Appl. Math., 3, 129, 10.1093/qjmam/3.2.129
Theodorsen, 1944, Experiments on drag of revolving disks, cylinders and streamline rods at high speeds, NACA Rep., 367
Thomschke, H. (1970) See: Euteneuer, 1970.
Tuckerman, 1983, Formation of Taylor vortices in spherical Couette flow
Waked, 1978, Laminar-turbulent flow in a spherical annulus, Trans. ASME J. Fluid Eng., 100
Walton, 1978, The linear stability of the flow in a narrow spherical annulus, J. Fluid Mech., 86, 673, 10.1017/S0022112078001330
Weber, 1956, The boundary layer inside a conical surface due to swirl, Trans. ASME J. Appl. Mech., 23, 587, 10.1115/1.4011404
Weidman, 1976, On the spin-up and spin-down of a rotating fluid, Part 2. Measurements and stability, J. Fluid Mech., 77, 709, 10.1017/S0022112076002851
Wimmer, 1976, Experiments on a viscous fluid flow between concentric rotating spheres, J. Fluid Mech., 78, 317, 10.1017/S0022112076002462
Wimmer, 1978, Die zähe Strömung im Spalt zwischen einer rotierenden Scheibe und einem ruhenden Gehäuse, Z. Angew. Math. Mech., 63, 350
Wimmer, 1980, Laminar-turbulent transition in a spherical annulus, 426
Wimmer, 1981, Experiments on the stability of viscous flow between two concentric rotating spheres, J. Fluid Mech., 103, 117, 10.1017/S0022112081001262
Wimmer, 1983, Die viskose Strömung zwischen rotierenden Kegelfächen, Z. Angew. Math. Mech., 63, 299
Wimmer, 1985, Einfluss der Geometrie auf Taylor-Wirbel, Z. Angew. Math. Mech., 65, 255
Wimmer, 1986, Strömungen in einer rotierenden Kugel, Z. Angew. Math. Mech., 66, 272
Yakushin, 1969, Instability of fluid motion in a thin spherical layer, Fluid Dyn., 4, 83, 10.1007/BF01032401
Yavorskaya, 1975, Experimental study of spherical Couette flow, Dokl. Akad. Nauk. CCCP, 221, 1059
Yavorskaya, 1977, Investigation of the stability and secondary flows in rotating spherical fluid layers at arbitrary Rossby numbers, Dokl. Akad. Nauk. CCCP, 237, 804
Yavorskaya, 1980, Stability, non-uniqueness and transition to turbulence in the flow between two rotating spheres, 431
Zierep, J. (1983) See: Zierep, J. and Kullmann, L.
Zierep, 1983, Laminare Strömung im Innern einer rotierenden Hohlkugel beim Anfahren, Z. Angew. Math. Mech., 63, 302