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  • 1
    Electronic Resource
    Electronic Resource
    Numerical Methods in Water-Wave Diffraction and Radiation (1978)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 10 (1978), S. 393-416 
    Details
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.fl.10.010178.002141
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  • 2
    Electronic Resource
    Electronic Resource
    Surface Waves and Coastal Dynamics (1993)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 25 (1993), S. 215-240 
    Details
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.fl.25.010193.001243
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  • 3
    Electronic Resource
    Electronic Resource
    Inertia effects of a localized force distribution near a wall in a slow shear flow (1990)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1094-1104 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: From recorded observations in oscillatory flows over a bed sparsely covered with sand, it has been suggested that the initial stage of ripple formation involves hydrodynamic interaction at a distance among particles which are far apart. This mechanism appears to be common to both a thick layer of sand bed and a monolayer of beads on a smooth plane. In view of these facts it is helpful to study first a simpler problem that is of relevance in laminar flows. Specifically, the case where the typical particle radius is much smaller than the spacing, which is in turn much smaller than the thickness of Stokes boundary layer, is considered. With a view to examining the far field, a quasisteady Oseen approximation is invoked, and the boundary-layer flow is replaced by a linear shear and the particle by a localized force distribution. The results are used to infer the tendency of interaction between two particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857609
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  • 4
    Electronic Resource
    Electronic Resource
    Approximate equations for the slow spreading of a thin sheet of Bingham plastic fluid (1990)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 30-36 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model that can approximately describe a non-Newtonian fluid such as paint and fluid mud is a Bingham plastic with a yield stress. To facilitate the study of slow but transient spreading of a thin sheet of fluid mud, we need the approximate equations governing the nonlinear motion. Beginning with a modified Bingham model with two viscosities, the approximate equations are derived by a systematic perturbation analysis. The controlling parameters are found to be the Reynolds number R, the shallowness ratio h¯/L¯=δ1/2, and the ratio of viscosities β=ν/ν1 [as defined in (45)]. Results valid for R,β,δ(very-much-less-than)1 but δ/β2≤O(1) are obtained. In the special case when δ/β2(very-much-less-than)1, the limits can also be obtained by heuristic arguments similar to those in the lubrication theory. Two examples are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857821
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  • 5
    Electronic Resource
    Electronic Resource
    Mechanics of composites of multiple scales (1992)
    Springer
    Computational mechanics 9 (1992), S. 195-210 
    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 This paper uses the method of multiple scales for heterogeneous media to derive the constitutive equations on the meso- and macro-scales for composite materials consisting of fibers and a matrix material. We have deduced the general theory for problems of three scales. The subscale solutions are obtained by numerical or analytical methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00350186
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  • 6
    Electronic Resource
    Electronic Resource
    Slow parallel flows of a water-granule mixture under gravity, part I: Continuum modeling (1986)
    Springer
    Acta mechanica 63 (1986), S. 179-193 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Slow parallel flows of a water-granule mixture under gravity are investigated. Continuum equations of mass and momentum of the fluid and granular phases are adopted under the assumptions of low shear rates and constant granular temperature. The granular stressstrain relationship is proposed to consist of two parts: one part accounting for granular friction and the other for granular collision. Two independent criteria for the onset of the shearing flow are introduced: kinematic and dynamic. The former requires a loose solid configuration, and the latter a high shear stress. The interaction between the fluid and granular phases are also included. Differences from existing works on the subject are pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01182547
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  • 7
    Electronic Resource
    Electronic Resource
    Slow parallel flows of a water-granule mixture under gravity, part II: Examples of free surface and channel flows (1986)
    Springer
    Acta mechanica 63 (1986), S. 195-216 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Using the continuum equations for an isothermal flow of water-granule mixture, proposed in Part I [6], we examine two classes of parallel gravity flows with low velocity. The first class is distinguished by a free surface, as may occur in a mud slide or river bed flows. The case of a single layer of saturated mixture driven by gravity is first studied. The effect of a layer of flowing water on top is then investigated. Velocity profiles and granular discharges are plotted. In the second class the top is bounded by a rigid wall along which there is no slipping. When the entire channel is filled with the mixture the velocity profile is found to contain a plug flow region which is asymmetric due to gravity. A layer of clear water flowing over the mixture has some lubricating effect which increases the granular discharge.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01182548
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  • 8
    Electronic Resource
    Electronic Resource
    Unsteady incompressible Couette flow in a uniform transverse magnetic field (1960)
    Springer
    Flow, turbulence and combustion 9 (1960), S. 275-284 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary The unsteady plane Couette flow of an incompressible, viscous and infinitely conducting fluid in a uniformly imposed transverse magnetic field is studied. The problem is solved in general in a series form by means of a finite Fourier transform, and explicit solutions for two special cases are worked out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00382206
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  • 9
    Electronic Resource
    Electronic Resource
    Some properties of a hybrid element method for water waves (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1627-1641 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Two properties of hybrid element method for diffraction and radiation of water waves are examined. For long waves in shallow water the method is shown to give a unique solution for all frequencies. Thus, unlike several other known methods, there are no irregular frequencies for which the approximating matrix equation is singluar. For a sea of arbitrary depth, it is shown that all known global identities such as reciprocity and energy theorems are preserved by the discrete solution. Thus, satisfaction of these identities by the numerical solution is only a necessary but by no means sufficient condition for accuracy.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620141105
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  • 10
    Electronic Resource
    Electronic Resource
    A hybrid element method for steady linearized free-surface flows (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 1153-1175 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It is first shown that the two-dimensional linearized ship wave problem can be recast as the sum of a radiation and a diffraction problem for simple harmonic waves. Each problem can be solved by a hybrid element method (HEM) where conventional finite elements are used near the body and analytical solutions are used in the remaining infinite regions (super-elements). Variational principles which incorporate the matching conditions between regular and super-elements as natural conditions are derived. Numerical examples are presented. The theoretical aspects for extending the above ideas to a three-dimensional ship wave problems are also described.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620100514
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