The motion of a closely-fitting sphere in a fluid-filled tube

International Journal of Multiphase Flow - Tập 1 - Trang 25-56 - 1973
Peter M. Bungay1, Howard Brenner1
1Department of Chemical Engineering and Biotechnology Program, Carnegie-Mellon University, Pittsburgh, Pa. 15213, U.S.A.

Tài liệu tham khảo

Barnard, 1968, Basic theory of blood flow in capillaries, Microvas. Res, 1, 23, 10.1016/0026-2862(68)90004-6 Block, 1940, On the resistance to the uniform motion of a solid through a viscous liquid, J. appl. Phys, 11, 635, 10.1063/1.1712715 Bohlin, 1960, On the drag on a rigid sphere moving in a viscous liquid inside a cylindrical tube, K. tek. Högsk. Handl, 63 Faxén, 1959, About T. Bohlin's paper: On the drag on rigid spheres, moving in a viscous liquid inside cylindrical tubes, Kolloid. Zh, 167, 146, 10.1007/BF01809634 Brenner, 1958, Slow viscous flow past a sphere in a cylindrical tube, J. Fluid Mech, 4, 195, 10.1017/S0022112058000392 Brenner, 1964, The Stokes resistance of an arbitrary particle—II. An extension, Chem. Engng Sci, 19, 599, 10.1016/0009-2509(64)85051-X Brenner, 1966, Hydrodynamic resistance of particles at small Reynolds numbers, Vol. 6, 287 Brenner, 1970, Pressure drop due to the motion of neutrally buoyant particles in duct flows, J. Fluid Mech, 43, 641, 10.1017/S0022112070002641 Brenner, 1971, Rigid-particle and liquid-droplet models of red cell motion in capillary tubes, 30, 1565 Bungay, 1970, The motion of closely-fitting particles through fluid-filled tubes Bungay, 1973, Pressure drop due to the motion of a sphere in proximity to the wall bounding a Poiseuille flow, J. Fluid Mech, 60, 81, 10.1017/S0022112073000054 Chen, 1970, Stokes flow in a cylindrical tube containing a line of spheroidal particles, Appl. Sci. Res, 22, 403, 10.1007/BF00400546 Christopherson, 1959, An example of minimum energy dissipation in viscous flow, A251, 550 Cox, 1967, Effect of finite boundaries on the Stokes resistance of an arbitrary particle. Part III. Translation and rotation, J. Fluid Mech, 28, 391, 10.1017/S0022112067002150 Cox, 1967, The slow motion of a sphere through a viscous fluid towards a plane surface. II. Small gap widths, including inertial effects, Chem. Engng Sci, 22, 1753, 10.1016/0009-2509(67)80208-2 Cox, 1968, The lateral migration of solid particles in Poiseuille flow. I. Theory, Chem. Engng Sci, 23, 147, 10.1016/0009-2509(68)87059-9 Cox, 1971, Suspended particles in fluid flow through tubes, Vol. 3, 291 Fitz-Gerald, 1969, Mechanics of red-cell motion through very narrow capillaries, B174, 193 Floberg, 1968, On the ball flowmeter and the ball viscometer, Acta Polytech. Scand, 36, 28 Goldman, 1967, Slow viscous motion of a sphere parallel to a plane wall. I. Motion through a quiescent fluid, Chem. Engng Sci, 22, 637, 10.1016/0009-2509(67)80047-2 Goldsmith, 1967, The microrheology of dispersions, Vol. 4, 85 Gradshteyn, 1965 Greenstein, 1968, Theoretical study of the slow motion of a sphere and a fluid in a cylindrical tube, J. Fluid Mech, 34, 705, 10.1017/S002211206800217X Haberman, 1958, Motion of rigid and fluid spheres in stationary and moving liquids inside cylindrical tubes, David W. Taylor Model Basin Rep. No. 1143, 67 Happel, 1965 Hochmuth, 1970, Capillary blood flow. 1. Erythrocyte deformation in glass capillaries, Microvas. Res, 2, 409, 10.1016/0026-2862(70)90034-8 Hochmuth, 1970, Spherical caps in low Reynolds number tube flow, Chem. Engng Sci, 25, 593, 10.1016/0009-2509(70)85091-6 Lighthill, 1968, Pressure-forcing of tightly fitting pellets along fluid-filled elastic tubes, J. Fluid Mech, 34, 113, 10.1017/S0022112068001795 McNown, 1948, Influence of boundary proximity on the drag of spheres, Vol. 2, 17 McNown, 1951, Particles in slow motion, La Houille Blanche, 6, 701, 10.1051/lhb/1951056 McNown, 1956, Analysis of the rolling-ball viscometer, 10 O'Neill, 1967, On the slow motion of a sphere parallel to a nearby plane wall, J. Fluid Mech, 27, 705, 10.1017/S0022112067002551 Van Dyke, 1964 Wang, 1969, Viscous flow in a cylindrical tube containing a line of spherical particles, J. Fluid Mech, 38, 75, 10.1017/S002211206900005X Zolotykh, 1962, Deriving basic formulas for viscometers with an inclined tube, Measmt Tech, 327, 10.1007/BF00992662