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  • 11
    Electronic Resource
    Electronic Resource
    On pseudo-uniform flow in open channel hydraulics (1984)
    Springer
    Acta mechanica 53 (1984), S. 183-200 
    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 The differential equation that governs the longitudinal variation of the surface profileh(x) in steady plane channel flow is qualitatively discussed for the case of pseudo-uniform flow states. The solutions are either of the cnoidal or solitary wave type. It is shown that, among all cnoidal waves, solitary waves have minimum energy head. Further, surface profiles mustbreak whenever the Froude-number exceeds the value $$\sqrt 2 $$ (which is close to experimentally determined values). The model equations are applied to the undular hydraulic jump, and it is shown how the equations can be used in practical situations of open channel flow hydraulics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177950
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  • 12
    Electronic Resource
    Electronic Resource
    Evolution of weakly non-linear shallow water waves generated by a moving boundary (1992)
    Springer
    Acta mechanica 91 (1992), S. 119-155 
    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 In this study we describe the evolution of weakly non-linear shallow water waves in a rectangular channel of 16 m length which aregenerated by a moving boundary. We present a detailed comparison of computaticnal and observational waveheight-time series and thus verify the theoretical model as presented by Villeneuve and Savage [27]. Three different types of wave generating devices were used: pistons with vertical and inclined frontal faces, submerged boxes and a rotating plate. Waveheight-time series are recorded at eight different positions along the channel by electrical resistivity gauges, and velocity profiles are determined at certain selective cross sections. Data of many wave experiments are presented in nondimensional form. This representation reveals that the initial wave forms depend upon a Froude number of the motion of the wave generator, the slope angle of the wedge-type pistons and on the dimensionless displaced volume. Evolving waveheight-time series that are recorded at the various gauges are compared with those obtained from computations by use of equations which generalize the Boussinesq equations to include time variations of the boundaries. The method of inverse scattering is applied both, experimental and numerical waveheight-time series are prescribed as initial data. Results are tested relative to two different observers one fixed in time the other fixed in space. Deviations are shown to be small in all cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01194106
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  • 13
    Electronic Resource
    Electronic Resource
    On interfacial transition conditions in two phase gravity flow (1994)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 45 (1994), S. 746-762 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A layer of ice and sediment is modelled as a mixture of two nonlinear, very viscous, constant density fluids interacting mechanically via Darcy- and Pick-type forces. An inclined layer of this mixture overlain by a layer of ice modelled as a viscous fluid is considered with boundary conditions of no-slip or viscous sliding at the base and no stress at the free surface. The interface is treated as a singular surface across which the jump conditions of mass and momentum for the constituents are assumed to hold. Furthermore, because the components are viscous fluids, a kinematic condition for the continuity of the tangential velocity is formulated. The momentum jump conditions involve surface production terms requiring additional surfacial constitutive relations. We show that the posed physical problem admits a mathematical solution only in the case that the interface momentum production is non-zero.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00942751
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  • 14
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1995)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 46 (1995), S. 641-643 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00917451
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  • 15
    Electronic Resource
    Electronic Resource
    Book reviews (1992)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 43 (1992), S. 1085-1086 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00916430
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  • 16
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1967)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 18 (1967), S. 298-300 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596927
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  • 17
    Electronic Resource
    Electronic Resource
    Lake of Lugano and topographic waves (1983)
    [s.l.] : Nature Publishing Group
    Nature 306 (1983), S. 46-48 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Topographic waves (also known as vortex modes, rotational modes and second-class waves) can only exist in a rotating fluid with bottom topography. In the Northern Hemisphere, where the Coriolis parameter is positive, shallower water is always to the right of the direction of phase propagation2. The ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/306046a0
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  • 18
    Electronic Resource
    Electronic Resource
    Assignment of snRNA gene sequences to the large chromosomes of rat kangaroo and Chinese hamster isolated by flow cytometric sorting (1982)
    Springer
    Chromosoma 85 (1982), S. 723-733 
    Details
    ISSN: 1432-0886
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract Chromosomes from a rat kangaroo (Potorous tridactylus) cell line (PtK2) and from a Chinese hamster (Cricetulus griseus) cell line (CHV79) were isolated by means of fluorescence activated flow cytometric sorting. DAPI (4′-6-diamino-2-phenylindole) was used as the DNA specific fluorescent dye. The karyotype of the PtK2 cells which exhibits 13 chromosomes was separated into 6, and the 22 chromosomes of the CHV79 cells were resolved into 11 fractions. DNA extracted from these chromosomal fractions was used for restriction enzyme digestion and blotting on nitrocellulose filters. The blots were challenged with gene probes corresponding to ribosomal RNA (18S and 28S) and small nuclear RNA (U1-snRNA) genes. The rRNA genes were exclusively assigned to chromosomes containing the nucleolus organizing region (in PtK2: X chromosome; in CHV79: chromosomes 4, 5, 6, and 11). — Solely the largest chromosomes in both cell lines hybridized with U1-snRNA indicating that these gene sequences are located on those chromosomes only. Further possible genetic and biochemical applications of this experimental system are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00330784
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  • 19
    Electronic Resource
    Electronic Resource
    Theory of shallow ice shelves (1999)
    Springer
    Continuum mechanics and thermodynamics 11 (1999), S. 15-50 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Ice shelves consist of two layers, an upper layer of meteoric ice nourished by the flow from the connected inland ice and precipitation, and a lower layer of marine ice that is built by the melting and freezing processes at the ice-ocean interface and the accretion of frazil ice from the underlying ocean. The governing thermomechanical equations in the two layers are formulated as are the boundary and transition conditions that apply at the free surface, the material interface between the meteoric and the marine ice and the ice-ocean interface. The equations comprise in the bulk mass balances for the ice and the salt water (in marine ice), momentum balance and energy balance equations, and at the boundaries kinematic equations as well as jump conditions of mass, momentum and energy. The side boundary conditions involve a prescription of the mass flow along the grounding line from the inland ice and a kinematic law describing the mass loss by calving along the floating ice-shelf front. An appropriate scaling, in which the shallowness of the ice shelves is used, gives rise to the development of a perturbation scheme for the solution of the three-dimensional equations. Its lowest-order approximation – the shallow-shelf approximation (SSA) – shows the ice flow to be predominantly horizontal with a velocity field independent of depth, but strongly depth-dependent temperature and stress distributions. This zeroth order shallow-shelf approximation excludes the treatment of ice rumples, ice rises and the vicinity of the grounding line, but higher-order equations may to within second-order accuracy in the perturbation parameter accommodate for these more complicated effects. The scaling introduced finally leads to a vertical integrated system of non-linear partial integro-differential equations describing the ice flow and evolution equation for temperature and the free surfaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001610050102
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  • 20
    Electronic Resource
    Electronic Resource
    On stability of rapid granular shear flows (1997)
    Springer
    Continuum mechanics and thermodynamics 9 (1997), S. 229-240 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: We study stability properties of rapid granular flows that are described by the balance laws of mass, momentum and fluctuation energy with phenomenological relationships based upon dimensional arguments [12, 13]. Small disturbances propagating perpendicular to the shear plane are only studied. Calculations show that such flows are stable at small free path lengths of the granules but unstable if free path lengths are large.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001610050068
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