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  • 1
    Electronic Resource
    Electronic Resource
    Air-blown waves on thin viscous sheets (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 973-978 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model based upon lubrication and thin airfoil theories permits steady periodic waves on the surface of a thin inclined layer of viscous fluid, when an upward stream of air flows over its surface. The flow in the layer is rotational, and is sustained by a balance between the lubrication force in the fluid and a surface shear and pressure gradient supplied by the airflow over it. An analytic small-amplitude expansion, and a numerical large-amplitude solution, are used to describe some of the features of these waves. There is a long-wave limit of a solitary waveform.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858641
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Hydrodynamic Problems of Ships in Restricted Waters (1978)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 10 (1978), S. 33-46 
    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.10.010178.000341
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  • 3
    Electronic Resource
    Electronic Resource
    Unsteady spreading of thin liquid films with small surface tension (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 733-742 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The method of matched asymptotic expansions is used to solve for the free surface of a thin liquid drop draining down a vertical wall under gravity. The analysis is based on the smallness of the surface tension term in the lubrication equation. In a region local to the front of the drop, where the surface curvature is large, surface tension forces are significant. Everywhere else, the surface curvature is small, and surface tension plays a negligible role. A numerical time-marching scheme, which makes no small surface tension assumptions, is developed to provide a datum from which to gauge the accuracy of the small surface tension theory. Agreement between the numerical scheme and the small surface tension theory is good for small values of surface tension. Extension to the propagation of drops by spinning and by blowing with a jet of air is also discussed. It is shown that there are inherent similarities between all three spreading mechanisms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858006
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A steady breaking wave (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 277-279 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The problem of a supercritical uniform stream meeting a stagnant mass of water is considered. The whole oncoming flow is forced to overturn and to fall back and down forever like a waterfall into a bottomless chasm. The interaction between this waterfall and the oncoming flow is neglected. It is shown that the solution occurs only at a unique Froude number equal to 2.994.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858783
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  • 5
    Electronic Resource
    Electronic Resource
    A note on yawed slender wings (1979)
    Springer
    Journal of engineering mathematics 13 (1979), S. 47-62 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary An integral equation of Abel type is derived for the wake strength in steady flow over a yawed slender wing. An analytic solution is obtained for a triangular plan form, and numerical results for other configurations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042796
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  • 6
    Electronic Resource
    Electronic Resource
    Calculation of unsteady flows due to small motions of cylinders in a viscous fluid (1969)
    Springer
    Journal of engineering mathematics 3 (1969), S. 29-44 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary The problem of small oscillations of a cylinder of general cross-section in a viscous fluid is formulated in terms of integral equations. Numerical solutions of the integral equation are presented for the special case of a ribbon of zero thickness.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01540828
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  • 7
    Electronic Resource
    Electronic Resource
    On Steady Periodic Interfacial Waves (1999)
    Springer
    Journal of engineering mathematics 35 (1999), S. 71-84 
    Details
    ISSN: 1573-2703
    Keywords: interfacial ; Benjamin–Ono ; water waves ; numerical.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Periodic waves on the interface between a lower layer of heavy fluid and an upper light fluid extending to infinity are considered both exactly and in a shallow-layer approximation. The latter leads to a composite long-wave equation combining Korteweg–de Vries and Benjamin–Ono characteristics, which is consistent in order when the density of the upper fluid is much less than that of the shallow lower layer. Comparison is made between numerical results from the exact and approximate theories, and with the analytic results of the separate Korteweg–de Vries and Benjamin–Ono equations which are special cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004395800854
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  • 8
    Electronic Resource
    Electronic Resource
    Two-dimensional leaflet valves with maximum reverse-flow moment (1982)
    Springer
    Journal of engineering mathematics 16 (1982), S. 47-57 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Camber and thickness distributions and a hinge point, are chosen for thin airfoils, to maximise the de-stabilising moment about that hinge point, in steady reversed flow. This optimisation is carried out subject to the constraints that the airfoil be in equilibrium for steady forward flow, and that the mean square camber be held fixed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00037628
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    A theory for the design of thin heat flux meters (1972)
    Springer
    Journal of engineering mathematics 6 (1972), S. 355-368 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Heat flux meters are analysed asymptotically for small thickness/width ratios. The gain of the meter is calculated for several examples, both two-dimensional and axisymmetric. Ideal and optimum designs for meters are suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01535196
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  • 10
    Electronic Resource
    Electronic Resource
    Steady flow and static stability of airfoils in extreme ground effect (1981)
    Springer
    Journal of engineering mathematics 15 (1981), S. 89-102 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Steady flow over a thin airfoil-like body in close proximity to a plane ground surface is analysed on the basis of a one-dimensional, but non-linear, gap-region flow, matched to the outside via a trailing edge which may possess significant flap-like appendages. The resulting lift and moment predictions are used to estimate quasisteady stability derivatives in heave and pitch. The results are applied to longitudinal stability of tail-less uncambered airplanes, and to manoeuvring of ships near to a bank, indicating instability in both cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00052513
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