Crossref journal-article
Elsevier BV
International Journal of Multiphase Flow (78)
Bibliography

Brenner, H. (1974). Rheology of a dilute suspension of axisymmetric Brownian particles. International Journal of Multiphase Flow, 1(2), 195–341.

Authors 1
  1. Howard Brenner (first)
References 90 Referenced 530
  1. {'key': '10.1016/0301-9322(74)90018-4_BIB1', 'series-title': 'Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables', 'first-page': '319', 'author': 'Abramowitz', 'year': '1968'} / Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables by Abramowitz (1968)
  2. 10.1122/1.549106 / Trans. Soc. Rheology / Particle motions in sheared suspensions. XXIV. Rotation of rigid spheroids and cylinders by Anczurowski (1968)
  3. 10.1063/1.1679573 / J. Chem. Phys / Stress tensor for arbitrary flows of dilute solutions of rodlike macromolecules by Armstrong (1973)
  4. 10.1017/S0022112070000745 / J. Fluid Mech / The stress system in a suspension of force-free particles by Batchelor (1970)
  5. 10.1122/1.549220 / Trans. Soc. Rheol / Hydrodynamic interaction effects in rigid dumbbell suspensions I. Kinetic theory by Bird (1971)
  6. 10.1007/3-540-05483-9_9 / Adv. Polymer Sci / Kinetic theory and rheology of dumbbell suspensions with Brownian motion by Bird (1971)
  7. 10.1063/1.1705892 / Phys. Fluids / Dissipation of energy due to solid particles suspended in a viscous liquid by Brenner (1958)
  8. 10.1016/0009-2509(63)80001-9 / Chem. Engng Sci / The Stokes resistance of an arbitrary particle by Brenner (1963)
  9. 10.1007/BF00382039 / Appl. Sci. Res. (Ser. A) / Slow viscous rotation of an axisymmetric body in a circular cylinder of finite length by Brenner (1964)
  10. 10.1016/0009-2509(64)85051-X / Chem. Engng Sci / The Stokes resistance of an arbitrary particle. Part II. An extension by Brenner (1964)
  11. 10.1016/0009-2509(64)85052-1 / Chem. Engng Sci / The Stokes resistance of an arbitrary particle. Part III. Shear fields by Brenner (1964)
  12. 10.1016/0021-9797(67)90185-3 / J. Coll. Interface Sci / Coupling between the translational and rotational Brownian motions of rigid particles of arbitrary shape. Part II. General theory by Brenner (1967)
  13. 10.1016/0021-9797(70)90264-X / J. Coll. Interface Sci / Orientation-space boundary layers in problems of rotational diffusion and convection at large rotary Péclet numbers by Brenner (1970)
  14. 10.1016/0009-2509(72)80021-6 / Chem. Engng Sci / Suspension rheology in the presence of rotary Brownian motion and external couples: elongational flow of dilute suspensions by Brenner (1972)
  15. 10.1016/B978-0-08-016915-6.50012-4 / Progr. Heat Mass Transfer / Suspension rheology by Brenner (1972)
  16. {'key': '10.1016/0301-9322(74)90018-4_BIB16', 'first-page': '509', 'article-title': 'Dynamics of neutrally buoyant particles in low Reynolds number flows', 'volume': '6', 'author': 'Brenner', 'year': '1972', 'journal-title': 'Progr. Heat Mass Transfer'} / Progr. Heat Mass Transfer / Dynamics of neutrally buoyant particles in low Reynolds number flows by Brenner (1972)
  17. 10.1016/0021-9797(74)90093-9 / J. Coll. Interface Sci / Transport mechanics in systems of orientable particles IV. Convective transport by Brenner (1974)
  18. 10.1017/S002211206200124X / J. Fluid Mech / The motion of rigid particles in a shear flow at low Reynolds number by Bretherton (1962)
  19. {'key': '10.1016/0301-9322(74)90018-4_BIB19', 'first-page': '483', 'article-title': 'Conduction of Heat in Solids', 'author': 'Carslaw', 'year': '1959'} / Conduction of Heat in Solids by Carslaw (1959)
  20. 10.1139/p65-122 / Can. J. Phys / Particle motions in sheared suspensions XVI. Orientation of rods and disks in hyperbolic and other flows by Chaffey (1965)
  21. {'key': '10.1016/0301-9322(74)90018-4_BIB21', 'article-title': 'Elongational flows of dilute suspensions of rigid ellipsoids influenced by Brownian rotations', 'author': 'Clarke', 'year': '1973', 'journal-title': 'Chem. Engng Sci'} / Chem. Engng Sci / Elongational flows of dilute suspensions of rigid ellipsoids influenced by Brownian rotations by Clarke (1973)
  22. {'key': '10.1016/0301-9322(74)90018-4_BIB22', 'first-page': '26', 'article-title': 'Viscometric Flows of Non-Newtonian Fluids', 'author': 'Coleman', 'year': '1966'} / Viscometric Flows of Non-Newtonian Fluids by Coleman (1966)
  23. 10.1017/S002211207000215X / J. Fluid Mech / The motion of long slender bodies in a viscous fluid. Part 1. General theory by Cox (1970)
  24. 10.1017/S0022112071000259 / J. Fluid Mech / The motion of long slender bodies in a viscous fluid. Part 2. Shear flow by Cox (1971)
  25. 10.1016/0009-2509(67)80208-2 / Chem. Engng Sci / The slow motion of a sphere through a viscous fluid towards a plane surface—II. Small gap widths, including inertial effects by Cox (1967)
  26. 10.1016/0009-2509(71)86082-7 / Chem. Engng Sci / The rheology of a suspension of particles in a Newtonian fluid by Cox (1971)
  27. {'key': '10.1016/0301-9322(74)90018-4_BIB27', 'first-page': '312', 'article-title': 'Non-Equilibrium Thermodynamics', 'author': 'de Groot', 'year': '1962'} / Non-Equilibrium Thermodynamics by de Groot (1962)
  28. 10.1002/andp.19063240204 / Ann. Physik / Eine neue Bestimmung der Moleküldimensionen by Einstein (1906)
  29. 10.1002/andp.19113390313 / Ann. Physik / Berichtigung zu meiner Arbeit: Eine neue Bestimmung der Moleküldimensionen by Einstein (1911)
  30. {'key': '10.1016/0301-9322(74)90018-4_BIB30', 'first-page': '32', 'volume': 'Vol. 1', 'author': 'Erdélyi', 'year': '1953'} by Erdélyi (1953)
  31. 10.1017/S0022112070001696 / J. Fluid Mech / The constitutive equation for a dilute emulsion by Frankel (1970)
  32. {'key': '10.1016/0301-9322(74)90018-4_BIB32', 'first-page': '143', 'article-title': 'Continuum Mechanics', 'author': 'Frederick', 'year': '1965'} / Continuum Mechanics by Frederick (1965)
  33. 10.1007/BF01982278 / Rheol. Acta / Die rheologische Zustandsgleichung by Giesekus (1958)
  34. 10.1007/BF01972555 / Rheol. Acta / Elasto-viskose Flüssigkeiten, für die in stationären Schichtströmungen sämtliche Normalspannungskomponenten verschieden grosse sind by Giesekus (1962)
  35. 10.1007/BF01972537 / Rheol. Acta / Strömungen mit konstantem Geschwindigkeitsgradienten und die Bewegung von darin suspendierten Teilchen by Giesekus (1962)
  36. 10.1017/S0022112067002381 / J. Fluid Mech / Nonlinear effects in the rheology of dilute suspensions by Goddard (1967)
  37. 10.1016/0009-2509(66)85036-4 / Chem. Engng Sci / The slow motion of two identical arbitrarily oriented spheres through a viscous fluid by Goldman (1966)
  38. {'key': '10.1016/0301-9322(74)90018-4_BIB38_1', 'first-page': '126', 'article-title': 'Classical Mechanics', 'author': 'Goldstein', 'year': '1950'} / Classical Mechanics by Goldstein (1950)
  39. {'key': '10.1016/0301-9322(74)90018-4_BIB38_2', 'first-page': '133', 'article-title': 'Classical Mechanics', 'author': 'Goldstein', 'year': '1950'} / Classical Mechanics by Goldstein (1950)
  40. {'key': '10.1016/0301-9322(74)90018-4_BIB39', 'first-page': '738', 'article-title': 'Tables of Integrals, Series and Products', 'author': 'Gradshteyn', 'year': '1965'} / Tables of Integrals, Series and Products by Gradshteyn (1965)
  41. {'key': '10.1016/0301-9322(74)90018-4_BIB40_1', 'first-page': '242', 'article-title': 'Low Reynolds Number Hydrodynamics', 'author': 'Happel', 'year': '1965'} / Low Reynolds Number Hydrodynamics by Happel (1965)
  42. {'key': '10.1016/0301-9322(74)90018-4_BIB40_2', 'first-page': '506', 'article-title': 'Low Reynolds Number Hydrodynamics', 'author': 'Happel', 'year': '1965'} / Low Reynolds Number Hydrodynamics by Happel (1965)
  43. {'key': '10.1016/0301-9322(74)90018-4_BIB41', 'series-title': 'Ph.D. thesis', 'article-title': 'The Mechanics of Suspensions of Particles in Fluids', 'author': 'Hinch', 'year': '1971'} / Ph.D. thesis / The Mechanics of Suspensions of Particles in Fluids by Hinch (1971)
  44. 10.1017/S0022112072000771 / J. Fluid Mech / A remark on the symmetry of certain material tensors for a particle in Stokes flow by Hinch (1972)
  45. 10.1017/S002211207200271X / J. Fluid Mech / The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles by Hinch (1972)
  46. 10.1017/S0022112073001990 / J. Fluid Mech / Time-dependent shear flows of a suspension of particles with weak Brownign rotations by Hinch (1973)
  47. {'key': '10.1016/0301-9322(74)90018-4_BIB45', 'first-page': '161', 'article-title': 'The motion of ellipsoidal particles immersed in a viscous fluid', 'volume': 'A102', 'author': 'Jeffery', 'year': '1922'} / The motion of ellipsoidal particles immersed in a viscous fluid by Jeffery (1922)
  48. {'key': '10.1016/0301-9322(74)90018-4_BIB46', 'first-page': '66', 'article-title': 'Cartesian Tensors', 'author': 'Jeffreys', 'year': '1961'} / Cartesian Tensors by Jeffreys (1961)
  49. {'key': '10.1016/0301-9322(74)90018-4_BIB47_1', 'series-title': 'Macromolecules', 'first-page': '47', 'author': 'Kirkwood', 'year': '1967'} / Macromolecules by Kirkwood (1967)
  50. {'key': '10.1016/0301-9322(74)90018-4_BIB47_2', 'series-title': 'Macromolecules', 'first-page': '109', 'author': 'Kirkwood', 'year': '1967'} / Macromolecules by Kirkwood (1967)
  51. {'key': '10.1016/0301-9322(74)90018-4_BIB47_3', 'series-title': 'Macromolecules', 'first-page': '114', 'author': 'Kirkwood', 'year': '1967'} / Macromolecules by Kirkwood (1967)
  52. {'key': '10.1016/0301-9322(74)90018-4_BIB47_4', 'series-title': 'Macromolecules', 'first-page': '116', 'author': 'Kirkwood', 'year': '1967'} / Macromolecules by Kirkwood (1967)
  53. {'key': '10.1016/0301-9322(74)90018-4_BIB47_5', 'series-title': 'Macromolecules', 'first-page': '160', 'author': 'Kirkwood', 'year': '1967'} / Macromolecules by Kirkwood (1967)
  54. 10.1002/hlca.19450280111 / Helv. Chim. Acta / Die Abhängigkeit der Viskosität vom Strömingsgefälle bei hochverdünnten Suspensionen und Lösungen by Kuhn (1945)
  55. {'key': '10.1016/0301-9322(74)90018-4_BIB49', 'series-title': 'Ph.D. thesis', 'article-title': 'Experiments on the hydrodynamic resistance of translating-rotating particles', 'author': 'Kunesh', 'year': '1971'} / Ph.D. thesis / Experiments on the hydrodynamic resistance of translating-rotating particles by Kunesh (1971)
  56. {'key': '10.1016/0301-9322(74)90018-4_BIB50', 'first-page': '588', 'article-title': 'Hydrodynamics', 'author': 'Lamb', 'year': '1932'} / Hydrodynamics by Lamb (1932)
  57. {'key': '10.1016/0301-9322(74)90018-4_BIB51', 'first-page': '37', 'article-title': 'Theory of Elasticity', 'author': 'Landau', 'year': '1959'} / Theory of Elasticity by Landau (1959)
  58. 10.1017/S0022112071000788 / J. Fluid Mech / The effect of weak Brownian rotations on particles in shear flow by Leal (1971)
  59. 10.1017/S0022112072002125 / J. Fluid Mech / The rheology of a suspension of nearly spherical particles subject to Brownian rotations by Leal (1972)
  60. {'key': '10.1016/0301-9322(74)90018-4_BIB54', 'article-title': 'A note on streaming double refraction in a dilute suspension of rigid spheroids subject to weak Brownian rotations', 'author': 'Leal', 'year': '1973', 'journal-title': 'Rheol. Acta'} / Rheol. Acta / A note on streaming double refraction in a dilute suspension of rigid spheroids subject to weak Brownian rotations by Leal (1973)
  61. {'key': '10.1016/0301-9322(74)90018-4_BIB55_1', 'first-page': '101', 'article-title': 'A Treatise on the Mathematical Theory of Elasticity', 'author': 'Love', 'year': '1944'} / A Treatise on the Mathematical Theory of Elasticity by Love (1944)
  62. {'key': '10.1016/0301-9322(74)90018-4_BIB55_2', 'first-page': '152', 'article-title': 'A Treatise on the Mathematical Theory of Elasticity', 'author': 'Love', 'year': '1944'} / A Treatise on the Mathematical Theory of Elasticity by Love (1944)
  63. {'key': '10.1016/0301-9322(74)90018-4_BIB55_3', 'first-page': '154', 'article-title': 'A Treatise on the Mathematical Theory of Elasticity', 'author': 'Love', 'year': '1944'} / A Treatise on the Mathematical Theory of Elasticity by Love (1944)
  64. {'key': '10.1016/0301-9322(74)90018-4_BIB55_4', 'first-page': '160', 'article-title': 'A Treatise on the Mathematical Theory of Elasticity', 'author': 'Love', 'year': '1944'} / A Treatise on the Mathematical Theory of Elasticity by Love (1944)
  65. {'key': '10.1016/0301-9322(74)90018-4_BIB56', 'first-page': '374', 'article-title': 'Integrals of Bessel Functions', 'author': 'Luke', 'year': '1962'} / Integrals of Bessel Functions by Luke (1962)
  66. 10.1112/S0025579300007993 / Mathematika / Slow motion of an incompressible viscous liquid generated by the rotation of two spheres in contact by Majumdar (1967)
  67. 10.1016/0009-2509(72)87060-X / Chem. Engng Sci / On the Stokes resistance of two equal spheres in contact in a linear shear field by Majumdar (1972)
  68. {'key': '10.1016/0301-9322(74)90018-4_BIB59', 'series-title': 'Bessel Functions for Engineers', 'author': 'McLachlan', 'year': '1955'} / Bessel Functions for Engineers by McLachlan (1955)
  69. {'key': '10.1016/0301-9322(74)90018-4_BIB60_1', 'first-page': '106', 'article-title': 'Theoretical Hydrodynamics', 'author': 'Milne-Thompson', 'year': '1960'} / Theoretical Hydrodynamics by Milne-Thompson (1960)
  70. {'key': '10.1016/0301-9322(74)90018-4_BIB60_2', 'first-page': '107', 'article-title': 'Theoretical Hydrodynamics', 'author': 'Milne-Thompson', 'year': '1960'} / Theoretical Hydrodynamics by Milne-Thompson (1960)
  71. {'key': '10.1016/0301-9322(74)90018-4_BIB60_3', 'first-page': '641', 'article-title': 'Theoretical Hydrodynamics', 'author': 'Milne-Thompson', 'year': '1960'} / Theoretical Hydrodynamics by Milne-Thompson (1960)
  72. 10.1017/S0022112073001527 / J. Fluid Mech / On the creeping motion of two arbitrary-sized touching spheres in a linear shear field by Nir (1973)
  73. 10.1016/0021-9797(73)90271-3 / J. Coll. Interface Sci / The kinetics of flowing dispersions VI. Transient orientation and rheological phenomena of rods and discs in shear flow by Okagawa (1973)
  74. 10.1007/BF01590642 / Z. angew. Math. Phys / Asymmetrical slow viscous fluid motions caused by the translation or rotation of two spheres. Part II: Asymptotic forms of the solution when the minimum clearance between the spheres approaches zero by O'Neill (1970)
  75. 10.1007/BF01325633 / Z. Physik / Theorie der Strömungs doppelbrechung von Kolloiden und grossen Molekülen in Lösung by Peterlin (1939)
  76. 10.1007/BF01340060 / Z. Physik / Über die Bestimmung der Grösse und Form, sowie der elektrischen, optischen und magnetischen Anisotropie von submikroskopischen Teilchen mit Hilfe der künstlichen Doppelbrechung und der inneren Reibung by Peterlin (1939)
  77. 10.1016/0021-9797(73)90365-2 / J. Coll. Interface Sci / Legendre coefficients for series solution of the orientation distribution function for ellipsoidal macromolecules in two-dimensional laminar flow by Riley (1973)
  78. {'key': '10.1016/0301-9322(74)90018-4_BIB67', 'first-page': '681', 'article-title': 'Further remarks on the stress-deformation relations for isotropic materials', 'volume': '4', 'author': 'Rivlin', 'year': '1955', 'journal-title': 'J. Rational Mech. Anal'} / J. Rational Mech. Anal / Further remarks on the stress-deformation relations for isotropic materials by Rivlin (1955)
  79. 10.1063/1.1742341 / J. Chem. Phys / Non-Newtonian viscosity of solutions of ellipsoidal particles by Scheraga (1955)
  80. 10.1063/1.1748483 / J. Chem. Phys / Double refraction of flow: numerical evaluation of extinction angle and birefringence as a function of velocity gradient by Scheraga (1951)
  81. 10.1007/BF01332278 / Z. Physik / Zur theorie der Leitfähigkeitsanisotropie von Polyelektrolyten in lösung by Schwarz (1956)
  82. 10.1021/j150397a004 / J. Phys. Chem / The influence of Brownian movement on the viscosity of solutions by Simha (1940)
  83. 10.1063/1.1724020 / J. Chem. Phys / The influence of molecular flexibility on the intrinsic viscosity, sedimentation and diffusion of high polymers by Simha (1945)
  84. 10.1122/1.549275 / Trans. Soc. Rheol / Hydrodynamic interaction effects in rigid dumbbell suspensions. II. Computations for steady shear flow by Stewart (1972)
  85. {'key': '10.1016/0301-9322(74)90018-4_BIB74', 'first-page': '501', 'article-title': 'The formation of emulsions in definable fields of flow', 'volume': 'A146', 'author': 'Taylor', 'year': '1934'} / The formation of emulsions in definable fields of flow by Taylor (1934)
  86. {'key': '10.1016/0301-9322(74)90018-4_BIB75', 'first-page': '426', 'article-title': 'On the coefficient of viscous traction and its relation to that of viscosity', 'volume': 'A77', 'author': 'Trouton', 'year': '1906'} / On the coefficient of viscous traction and its relation to that of viscosity by Trouton (1906)
  87. 10.1143/JPSJ.31.1581 / J. Phys. Soc. Japan / Slow motion in shear flow of a doublet of two spheres in contact by Wakiya (1971)
  88. 10.1143/JPSJ.33.278 / J. Phys. Soc. Japan / Slow motion in shear flow of a doublet of two spheres in contact by Wakiya (1972)
  89. Wakiya, S. 1972 Private correspondence.
  90. 10.1063/1.1731257 / J. Chem. Phys / Streaming birefringence of rigid macromolecules in general two-dimensional laminar flow by Wayland (1960)
Dates
Type When
Created 22 years, 5 months ago (March 14, 2003, 5:45 p.m.)
Deposited 6 years, 5 months ago (March 25, 2019, 10:50 p.m.)
Indexed 4 weeks, 2 days ago (Aug. 7, 2025, 4:25 p.m.)
Issued 51 years, 5 months ago (April 1, 1974)
Published 51 years, 5 months ago (April 1, 1974)
Published Print 51 years, 5 months ago (April 1, 1974)
Funders 0

None

@article{Brenner_1974, title={Rheology of a dilute suspension of axisymmetric Brownian particles}, volume={1}, ISSN={0301-9322}, url={http://dx.doi.org/10.1016/0301-9322(74)90018-4}, DOI={10.1016/0301-9322(74)90018-4}, number={2}, journal={International Journal of Multiphase Flow}, publisher={Elsevier BV}, author={Brenner, Howard}, year={1974}, month=apr, pages={195–341} }