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  • 1
    Electronic Resource
    Electronic Resource
    Isotropic Cartesian tensors of arbitrary even orders and velocity gradient correlation functions (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 3818-3822 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A recursive relation for the unit isotropic tensor of an arbitrary even order is derived from a rotational Brownian motion of the unit vector. An expression for the eighth-order velocity gradient correlation function is derived from the eighth-order isotropic tensors, after preserving the solenoidal property of the velocity field. This correlation function is compared with measurements in a turbulent wake. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868373
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  • 2
    Electronic Resource
    Electronic Resource
    The flow of dilute polymer solution in a narrow channel. II. Plane Poiseuille flow (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 3442-3448 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: As an extension of the previous paper, we derive a similar theory for the plane Poiseuille flow of a dilute polymer solution. The strict enforcement of reflective boundary conditions allows an approximate solution to the Fokker–Planck–Kolmogorov equation to be obtained which is found to be consistent with solutions obtained by Galerkin methods and Monte Carlo simulation. The approximate theory also allows us to derive analytical expressions for the slip velocity and the effective viscosity which are again consistent with the plane Couette flow results derived in the previous paper. The theory is also extended to the nonlinear Warner spring model via Monte Carlo simulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.448921
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  • 3
    Electronic Resource
    Electronic Resource
    The flow of dilute polymer solution in a narrow channel. I. The slip effect in simple shear flow (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 988-995 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Existing experimental data have suggested that the flow of a dilute polymer solution near a wall exhibits a slip effect. In the case of a plane shear flow, the suspension of macromolecules contributes a nonuniform stress field profile across the channel which causes the velocity field to deviate from its otherwise linear profile. The apparent slip velocity can be calculated from such deviation. In this paper, we consider the flow problem of a suspension of bead-spring molecules in the presence of solid reflective boundary. Analytical and simulation solutions to the problem are obtained which do not require any small shear rate assumption. The added stresses contributed by the molecules are used to derive the slip velocity and the effective viscosity. Extension to nonlinear Warner spring model is also attempted by the simulation and the results give rise to some qualitative features which cannot be accounted for by the linear model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.448476
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  • 4
    Electronic Resource
    Electronic Resource
    Stokes problems of multiparticle systems: A numerical method for arbitrary flows (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 453-461 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A boundary element method (BEM) is developed and used to compute the arbitrary Stokes flow of a system of N particles of arbitrary shape and size embedded in a Newtonian fluid. The particles can be assumed to have a specified deformation (this feature is included here in anticipation of some applications in biophysics). Hydrodynamic and nonhydrodynamic forces are assumed to act in general; Brownian forces are neglected; and the Stokes flow field is assumed to be arbitrary. The method is benchmarked against the exact solution of two equal spheres in free settling motion by Goldman, Cox, and Brenner [Chem. Eng. Sci. 21, 1151 (1966)]. The handling of a finite bounding surface (i.e., arbitrary flow field, container walls) is tested with the calculation of the effective shear viscosity of a dilute suspension of monosized rigid spheres. The benchmarks show that the method performs satisfactorily. Also reported are the results for three spheres, arranged either in equispaced linear or triangular configuration (fixed or free settling under gravity). The effect of the hydrodynamic interaction with a rigid plane boundary (half-space problem) is automatically treated by the use of the special image of the Kelvin state [N. Phan-Thien, J. Elasticity 13, 231 (1983)]. This is illustrated by considering the problem of free settling of particles near a rigid no-slip planar boundary; specifically, some results for two equal spheres are reported. It is shown that the particle motion near the solid plane is fundamentally different from its motion in the far field, and thus the relative divergence of particles and the reversal of their angular velocity is observed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857414
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  • 5
    Electronic Resource
    Electronic Resource
    Stokes problems of multiparticle systems: Periodic arrays (1990)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 666-673 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A boundary element method is developed and used to compute the volume-average rheological properties of layered suspensions in a mean simple shearing flow up to a volume concentration of 0.5. The suspension is made up of a periodic array of neutrally buoyant, monosized spheroids in the x and y directions suspended in a Newtonian fluid that is subjected to a mean shear flow in the xz plane. The results for a monolayered suspension of spheres agree well with other simulations and some experimental results. Some new results for prolate and oblate spheroids are also given. Both the volume-average first and second normal stress differences are found to be zero in the simulation in all the cases considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857719
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  • 6
    Electronic Resource
    Electronic Resource
    An approximate explicit constitutive relation for non-flowing granular materials
    Amsterdam : Elsevier
    International Journal of Non-Linear Mechanics 16 (1981), S. 13-18 
    Details
    ISSN: 0020-7462
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0020-7462(81)90027-5
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  • 7
    Electronic Resource
    Electronic Resource
    On the elastic double layer: Some exact solutions and the spectrum on the sphere
    Amsterdam : Elsevier
    Journal of the Mechanics and Physics of Solids 42 (1994), S. 1177-1197 
    Details
    ISSN: 0022-5096
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0022-5096(94)90031-0
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  • 8
    Electronic Resource
    Electronic Resource
    Completed double layer boundary element method in elasticity
    Amsterdam : Elsevier
    Journal of the Mechanics and Physics of Solids 41 (1993), S. 1067-1086 
    Details
    ISSN: 0022-5096
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0022-5096(93)90055-K
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  • 9
    Electronic Resource
    Electronic Resource
    Pulsating flow of a plastic fluid (1982)
    [s.l.] : Nature Publishing Group
    Nature 296 (1982), S. 843-844 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] This fluid does not deform below a certain yield shear stress Ty; above this yield shear stress it flows like a newtonian fluid (with constant viscosity) and is thus not shear-thinning in the normal sense. However, a power analysis shows that the extra power required to pulsate the flow is greater ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/296843a0
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  • 10
    Electronic Resource
    Electronic Resource
    Geometric optimisation of a micromachine with a spiral tail immersed in viscous medium (1997)
    Springer
    Computational mechanics 20 (1997), S. 267-271 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model of micromachine with a spiral tail moving in a highly viscous fluid has been simulated using the Boundary Element Method. The trajectory of this micromachine is a straight line and it swims with a velocity close to that of a microorganism with a helical tail. An optimisation process has been carried out in order to find the optimal parameters to obtain the highest translational velocity. The optimum capsule-shaped head of this micromachine has an aspect ratio of about 0.5; the length of the tail is about 8 times the radius of the head, about 4.2 times of its width, and consists of 1.5 wavelengths. The dimensional proportions obtained here are in excellent agreement with previous studies on the motion of microorganisms with helical tails.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050247
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