LIST OF PUBLICATIONS

ANTHONY Michael John DAVIS


1964 -1969
1970 -1979
1980 -1989
1990 -1999
2000 -

1. Small disturbances in the presence of a current carrying conductor, Proc. Camb. Phil. Soc., 60 (1964), 325-339.

2. Two dimensional oscillations in a canal of arbitrary cross-section, Proc. Camb. Phil. Soc., 61 (1965), 827-846.

3. A semi-infinite beam overhanging an elastic strip, J. Nat. Inst. Sci. Ind., 35 (1969), 382-395.

4. Short surface waves in a canal: dependence of frequency on curvature, Proc. Roy. Soc. London A, 313 (1969), 249-260.

5. Waves in the presence of an infinite dock with gap, J. Inst. Maths. Applics., 6 (1970), 141-156.

6. Note on a paper by T.V. Davies, Quart. J. Mech. Appl. Math., 23 (1970), 567-568.

7. Notes on existence of eigenvalues, Proc. Camb. Phil. Soc., 69 (1971), 329-332.

8. Short surface waves due to an oscillating half immersed sphere, Mathematika, 18 (1971), 20-39.

9. The zeros of a function occurring in the solution of the Graetz problem, Mathematika, 21 (1974), 55-63.

10. Short surface waves in a canal: dependence of frequency on the curvatures and their derivatives, Quart. J. Mech. Appl. Math., 27 (1974), 523-535.

11. Short surface waves in the presence of a submerged sphere, SIAM J. Appl. Math., 27 (1974), 464-478.

12. Short surface waves in the presence of a submerged circular cylinder, SIAM J. Appl. Math., 27 (1974), 479-491.

13. Small oscillations in a hemispherical lake, Quart. J. Mech. Appl. Math., 28 (1975), 157-179.

14. Short surface waves due to a heaving sphere in a hemispherical lake, J. Inst. Maths. Applics., 16 (1975), 221-237.

15. (with M.E. O'Neill and K.B. Ranger) Some properties of multi-fluid Stokes flows, Int. J. Multiphase Flow, 2 (1975), 1-8.

16. Short surface waves due to a heaving torus, Mathematika, 22 (1975), 122-134.

17. (with A.L. Cullen and F.G. Leppington) Reflection from a cylinder in a surface wave field, Electronics Letters, 12 (1976), 287-288.

18. The density variations of a heterogenous ambient flow, SIAM J. Appl. Math., 30 (1976), 611-616.

19. On the short surface waves due to an oscillating, partially immersed body, J. Fluid Mech., 75 (1976), 791-807.

20. A relation between the radiation and scattering of surface waves by axisymmetric bodies, J. Fluid Mech., 76(1976), 85-88.

21. (with M.J. Hood) Surface waves normally incident on a submerged horizontal cylinder, SIAM J. Appl. Math., 3l (1976), 16-30.

22. Short surface waves generated by two heaving cylinders, Quart. J. Mech. Appl. Math., 29 (1976), 415-428.

23. (with M.E. O'Neill, J. M. Dorrepaal and K. B. Ranger) Separation from the surface of two equal spheres in Stokes flow, J. Fluid Mech., 77 (1976), 625-644.

24. (with F.G. Leppington) Scattering of electromagnetic surface waves by circular or elliptic cylinders, Proc. Roy. Soc. London A, 353 (1977), 55-75.

25. High frequency limiting virtual mass coefficients of heaving half immersed spheres, J. Fluid Mech., 80 (1977), 305-319.

26. (with M.E. O'Neill) The development of viscous wakes in a Stokes flow when a particle is near a large obstacle, Chem Eng. Sc., 32 (1977), 899-906.

27. (with M.E. O'Neill) Separation in a slow linear shear flow past a cylinder and a plane, J. Fluid Mech., 81 (1977), 551-564.

28. (with M. E. O'Neill) Separation in a Stokes flow past a plane with a cylindrical ridge or trough, Quart J. Mech. Appl. Math., 30 (1977), 355-368.

29. (with F.G. Leppington) The scattering by a conducting sphere of an electromagnetic surface wave travelling along a duct, Proc. Roy. Soc. London A, 358 (1977),243-251.

30. (with F.G. Leppington) The scattering of surface waves by compact obstacles, Quart. J. Mech. Appl. Math., 31 (1978), 19-30.

31. Non existence of large eigenvalues of a third order differential equation, Mathematika, 25 (1978), 151-159.

32. Eddy motions between fluid spheres in a Stokes flow, Chem. Eng. Sci., 33 (1978), 1247-1254.

33. The influence of relative velocity on the eddy structure between two spheres in Stokes flow, Int. J. Multiphase Flow, 4 (1978), 553-561.

34. (with K.B. Ranger) Steady pressure driven two phase stratified laminar flow through a pipe, Can. J. Chem. Eng., 57 (1979), 688-691.

35. (with M. E. O'Neill) The slow rotation of a sphere submerged in a fluid with a surfactant surface layer, Int. J. Multiphase Flow, 5 (l979), 413-425.

36. Some further results on separation in Stokes flows, Quart. J. Mech. Appl. Math., 32 (1979), 383-386.

37. Note on a two phase asymmetric Stokes flow, Chem. Eng. Comm., 4 (1980), 89-94.

38. The torque on a rotating body in a liquid with a surfactant layer and its relation to the virtual mass of a heaving body, Quart. J. Mech. Appl. Math., 33 (1980), 337-355.

39. (with M. E. O'Neill and H. Brenner) Axisymmetric Stokes flows due to a rotelet or stokeslet near a hole in a plane wall: filtration flows, J. Fluid Mech., 103 (1981), 183-205 Corrigendum 111 (1981), 499-500.

40. (with H. Brenner) Emulsions containing a third solid internal phase, J. Eng. Mech. Div. ASCE, 107 (1981), 609-621.

41. The scattering by a headland of the dominant continental shelf wave, Phil. Trans. R. Soc. London A 303 (1981), 383-431.

42. (with J.F. Geer) The application of uniform slender body theory to the parallel motion of two ships in shallow water, J. Fluid Mech., 114 (1982), 419-441.

43. Two phase Stokes flows distorted by a sphere straddling the interface, Int. J. Multiphase Flow, 8 (1982), 361-392.

44. Shelf similar topographies for free continental shelf waves, Geophys. Astrophys. Fluid Dynamics, 23 (1983), 321-331.

45. Fine particle deposition in laminar flow through parallel plates channels, J. Colloid Interface Sci., 94 (1983), 140-144.

46. Force and torque formulae for a sphere moving in an axisymmetric Stokes flow with finite boundaries: asymmetric stokeslets near a hole in a plane wall, Int. J. Multiphase Flow, 9 (1983), 575-608.

47. The small Reynolds number expansion of the n-dimensional drag coefficient, ZAMP, 34 (1983), 935-942.

48. The scattering by a dielectric spheroid of an electromagnetic surface wave travelling along a duct, Proc. Roy. Soc. London A, 391 (1984), 181-199.

49. (with F.G. Leppington) Scattering of long surface waves by circular cylinders or spheres, Quart. J. Mech. Appl. Math., 38 (1985), 411-432.

50. Axisymmetric Stokes flow past a spherical hollow boundary and concentric sphere, Quart. J. Mech. Appl. Math., 38 (1985), 537-559.

51. Hydrodynamic effects of fixed obstacles on ships in shallow water, J. Ship. Res., 30 (1986), 94-102.

52. (with H. Brenner) Steady rotation of a tethered sphere at small, nonzero Reynolds and Taylor numbers. Wake interference effects on drag, J. Fluid Mech., 168 (1986), 151-167.

53. Combinations of parallel and sink flows at low Reynolds number; models for duct-bifurcation, ZAMP, 37(1986), 651-665.

54. (with K. B. Ranger) A Stokes flow model for the drag on a blood cell, Quart. Appl. Math. 45 (1987), 305-311.

55. (with K.B. Ranger) A modified Burger's linearization of the two dimensional Navier Stokes equations, Utilitas Mathematica, 32(1987) 149-157.

56. Continental shelf wave scattering by a semi-infinite coastline, Geophys. Astrophys. Fluid Dynamics, 39 (1987), 25-55.

57. (with J. H. Fang and P. B. Visscher) Porosity reduction in sandstone by quartz overgrowths: discussion, AAPG Bulletin, 72(1988), 1515-1517.

58. (with K. B. Ranger) A model for Stokes flow through a stenotic channel, Phys. Fluids, A1(1989), 193-198.

59. Thermocapillary convection in liquid bridges: solution structure and eddy motions, Phys. Fluids, A1(1989), 475-479.

60. Continental shelf wave scattering by a semi-infinite coastline: partial removal of the `rigid lid', Geophys. Astrophys. Fluid Dynamics, 50(1990), 175-194.

61. Stokes drag on a disk sedimenting towards a plane or with other disks; additional effects of a side wall or free surface. Phys. Fluids, A2 (1990), 301-312.

62. Stokes drag on a narrow annular disk sedimenting in the presence of fixed boundaries or other disks, Phys. Fluids, A3(1991), 249-257.

63. Shear flow disturbance due to a hole in the plane, Phys. Fluids, A3(1991), 478-480.

64. Creeping flow through an annular stenosis in a pipe, Quart. Appl. Math. 49(1991), 507-520.

65. A translating disk in a Sampson flow; pressure driven flow through concentric holes in parallel walls, Quart. J. Mech. Appl. Math., 44(1991), 471-486.

66. Slow viscous flow due to motion of an annular disk: pressure driven extrusion through an annular hole in a wall, J. Fluid Mech. 231(1991), 51-71.

67. Thermocapillary convection in cylindrical fluid regions, Utilitas Mathematica, 40(1991), 139-154.

68. (with T.-Z. Mai) Steady pressure driven non-Newtonian flow in a partially filled pipe, J. Non-Newtonian Fluid Mech., 41(1991), 81-100.

69. Drag modifications for a sphere in a rotational motion at small, non-zero Reynolds and Taylor numbers; wake interference and possibly Coriolis effects, J. Fluid Mech., 237(1992), 13-22.

70. The use of disks to approximate finite axisymmetric bodies in Stokes flow, Phys. Fluids A4(1992), 7-15.

71. (with A.L. Frenkel) Cylindrical liquid bridges squeezed between parallel plates: exact Stokes flow solutions and hydrodynamic forces, Phys. Fluids A4(1992), 1105-1109.

72. Comment, Geophys. Astrophys. Fluid Dynamics, 65(1992), 245-249.

73. Discussion related to Watson and Evans: "Resonant frequencies of a fluid in containers with internal bodies", J. Engng. Math., 26(1992), 445-454.

74. (with C.R. Ethier) Transport through materials bounded by porous surfaces, Chem. Eng. Sci., 48(1993), 1655-1663.

75. (with R.W. Scharstein) Electromagnetic plane wave excitation of an open-ended, finite-length conducting cylinder, J. Elect. Waves Applics., 7(1993), 301-319.

76. Stokes drag on a disk sedimenting edgewise toward a plane wall, J. Engng. Math., 27(1993), 209-219.

77. Periodic blocking in parallel shear or channel flow at low Reynolds number, Phys. Fluids A., 5(1993), 800-809.

78. A hydrodynamic model of the oscillating screen viscometer, Phys. Fluids A., 5(1993), 2095-2103

79. Some asymmetric Stokes flows that are structurally similar, Phys. Fluids A., 5(1993) 2086-2094.

80. (with C.R. Ethier and S.I. Barry) Stokes flow in a channel with a porous outlet; application to dead-end filtration, Chem. Eng. Comm., 126(1993) 111-126.

81. (with R.W Scharstein) Electromagnetic plane wave excitation of an open-ended conducting frustrum, IEEE Trans. Antennas Propagat., 42 (1994) 699-706

82. (with H. Brenner and M.T. Kezirian) On the Stokes-Einstein model of surface diffusion along solid surfaces; slip boundary conditions, J. Colloid Interface Sci., 165 (1994) 129-140

83. (with K.B. Ranger) The Stokes resistance on an axisymmetric particle in asymmetric streaming flow, Can. Appl. Math. Quart., 2 (1994) 247-256

84. (with D.A. Edwards) Diffusion and convective dispersion through arrays of spheres with surface adsorption, diffusion and unequal solute partitioning, Chem Eng. Sci., 50 (1995) 1441-1454.

85. (with T.-Z. Mai) Laminar pulsatile two-phase non-Newtonian flow through a pipe, Computers and Fluids, 25 (1996) 77-93.

86. The use of stokeslets to describe the arbitrary translation of a disk near a plane wall, J. Engng. Math., 30 (1996) 239-252.

87. Two dimensional acoustical diffraction by a penetrable wedge, J. Acoust. Soc. Amer., 100 (1996) 1316-1324.

88. (with D.A. Edwards, F. Schneck, I. Zhang, H. Chen and R.Langer) Spontaneous Vesicle Formation at Lipid Bilayer Membranes, Biophys. J., 71 (1996) 1208-1214.

89. (with D.F. James) Slow flow through a model fibrous porous medium, Int. J. Multiphase Flow, 22 (1996) 969-989.

90. (with J.W. Pulley and R.G. Hussey) Combined influence of boundary and inertia on the drag of a thin disk moving broadside at low Reynolds number, Phys. Fluids, 8 (1996) 2275-2283.

91. Drag and torque on a slowly translating disk in a rotating fluid; effects of a plane wall, another disk or a side wall, Chem. Eng. Comm., 148-150 (1996) 239-256.

92. (with H. Brenner) Use of boundary conditions of the third kind to model heat conduction between two proximate rough surfaces separated by an insulator, Int. J. Heat Mass Transfer, 40 (1997) 1459-1465.

93. (with R.W. Scharstein) The complete extension of the Biot-Tolstoy solution to the density contrast wedge with sample calculations, J. Acoust. Soc. Amer., 101 (1997) 1821-1835.

94. (with R.T. McNider) The development of Antarctic katabatic winds and implications for the coastal ocean, J. Atmos. Sci., 54 (1997) 1248-1261

95. (with G.M. Cunning and P.D. Weidman) Radial stagnation flow on a rotating circular cylinder with uniform transpiration, J. Engng. Math., 33 (1998) 113-138

96. (with L. Hadji) The influence of insoluble spherical particles on the stability of a planar solidifying interface, J. Crystal Growth., 191 (1998) 889-896

97. (with R.W. Scharstein) Time domain, three-dimensional diffraction by the diaphanous wedge, IEEE Trans. Antennas. Propagat., 46 (1998) 1148-1158

98. (with H.A. Stone) Slow translation, rotation or oscillation of a disk in a rotating fluid: effect of a plane wall or another disk, Quart. J. Mech. Appl. Math.,51 (1998) 495-513

99. (with R. Mallier) Nonlinear evolution of singular disturbances to the Bickley jet, Stud. Appl. Math., 103 (1999) 149-181

100. (with P.D. Weidman) Asymptotic estimates for two-dimensional sloshing modes, Phys. Fluids, 12 (2000), 971-978

101. (with F.V. Katopodes and H.A. Stone) Piston flow in a two-dimensional channel, Phys. Fluids, 12 (2000), 1240-1243

102. (with R.W. Scharstein) Matched asymptotic expansion for the low frequency scattering by a semicircular trough in a ground plane, IEEE Trans. Antennas Propagat., 48 (2000) 801-811

103. (with D.F. James) Flow at the interface of a model fibrous porous medium, J. Fluid Mech., 426 (2001) 47-72

104. (with J.D. Fehribach) Stokes flow around an asymmetric channel divider; a computational approach using Matlab., J. Engng. Math.,39 (2001) 207-220

105. Point source excitation of the density contrast wedge: perturbation for nearly equal wave speeds, Quart. J. Mech. Appl. Math., 54 (2001) 613-630

106. (with H. Brenner) The falling needle viscometer, Phys. Fluids, 13 (2001), 3086-3088

107. Axisymmetric flow due to a porous sphere sedimenting towards a solid sphere or a solid wall: application to scavenging of small particles, Phys. Fluids, 13 (2001), 3126-3133

108. Convection in the presence of one or more thermally conducting particles: resonant wavelength excitation by a planar array, Phys. Fluids, 14 (2002), 1825-1833

109. Piston Stokes flow in a semi-infinite channel, C. R. Mecanique, 330 (2002), 457-459

110. (with R.J. Nagem) Acoustic diffraction by a half-plane in a viscous fluid medium, J. Acoust. Soc. Amer., 112 (2002), 1288-1296

111. Infinite systems for a biharmonic problem in a rectangle; discussion of non-uniqueness, Proc. Roy. Soc. Lond. A, 459 (2003), 409-412

112. (with R.J. Nagem) Influence of viscosity on the diffraction of sound by a circular aperture in a plane screen, J. Acoust. Soc. Amer., 113 (2003), 3080-3090

113. (with D.F. James) The slip velocity at the edge of a porous medium: effects of interior resistance and interface curvature, Transport in Porous Media, 53 (2003), 175-196

114. Rotational effects in Stokes flow; pressure-driven extrusion through an annular hole or concentric holes in parallel walls, J. Engng. Math., 46 (2003), 227-240

115. (with K. Buehler and P.D. Weidman) On secondary flow due to the coaxial rotation of two spheres: low Reynolds number theory and finite Reynolds number experiment, Quart. J. Mech. Appl. Math., 56 (2003), 547-569

116. (with D.F. James, N. Yogachandran, M.R. Loewen and H. Liu) Floc rupture in extensional flow, J. Pulp & Paper Sci., 29 (2003), 377-382

117. (with R.J. Nagem) Effect of viscosity on acoustic diffraction by a circular disk, J. Acoust. Soc. Amer., 115 (2004), 2738-2748

118. Limitation on the use of slender-body theory in Stokes flow; falling needle viscometer errata, Phys. Fluids, 16 (2004), 4204-4205

119. (with D.F. James) Penetration of shear flow into an array of rods aligned with the flow, Can.J. Chem. Eng., 82 (2004), 1169-1174

120. (with C. Malhotra and P.D. Weidman) Nested toroidal vortices between concentric cones, J. Fluid Mech., 522 (2005), 117-139

121. (with R.J. Nagem) Curle's equation and acoustic scattering by a sphere, J. Acoust. Soc. Amer., 119 (2006), 2018-2026

122. (with P.D. Weidman and D.G, Kubitschek) The effect of transpiration on self-similar boundary layer flow over moving surfaces, Int. J. Engng. Sci., 44 (2006), 730-737

123. (with P.D. Weidman and D.G, Kubitschek) Crocco variable formulation for uniform shear flow over a stretching surface with transpiration: multiple solutions and stability, ZAMP, 58 (2007), -

124. Stokes flow response to a localised change in interfacial tension, ZAMP, 58 (2007), 526-533

125. The evolution of piston-driven pipe flow; thermal transpiration, Proc. R. Soc. A, 463 (2007), 675-696

126. (with S.G. Llewellyn Smith) Perturbation of eigenvalues due to gaps in 2-D boundaries, Proc. R. Soc. A, 463 (2007), 759-786

127. (with R.W. Scharstein) Acoustic scattering by a rigid elliptic cylinder in a slightly viscous medium, J. Acoust. Soc. Amer., (2007), 3300-3310

128. (with I. D. Abrahams and S. G. Llewellyn Smith)


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