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  • 1
    Electronic Resource
    Electronic Resource
    The effect of thermal expansion on nonlinear first and second sound in the whole temperature region of He II (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 2513-2526 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We consider one-dimensional, weakly nonlinear first and second sound waves in He II. The first correction to the shock speed is computed for each sound mode. The expressions obtained are exact with respect to the coefficient of thermal expansion β. It is shown that the commonly made assumption of negligible β can lead to significant error in the shock speeds for first sound away from the lambda-line. This contrasts with the calculation of the linear sound speeds and the shock speed for second sound where the β=0 approximation yields accurate results. Near the lambda-line, the exact expressions for both modes are seen to contain fundamentally different singularities than those found in the commonly employed β=0 theory. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869034
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  • 2
    Electronic Resource
    Electronic Resource
    The effect of thermal expansion on nonlinear fourth sound (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1239-1245 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Weakly nonlinear fourth sound waves in clamped He II are considered. The first approximation to the nonlinear speed of fourth sound is derived through the use of a well-known multiple-scales scheme. As expected, the classical result that the linearized fourth sound speed can be accurately approximated by neglecting the coefficient of thermal expansion is recovered. However, this coefficient is found to be non-negligible when Doppler shifts and nonlinear effects are considered. The influence of the thermal expansion coefficient is significant even at low to moderate pressures and becomes dominant as the lambda temperature is approached. The terms which must be retained are found to be proportional to the well-known Grüneisen parameter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858609
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  • 3
    Electronic Resource
    Electronic Resource
    On the evolution of unsteady disturbances in continuous strip casting processes (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 3697-3706 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Continuous solidification processes in thin layers of molten metal are of central importance in many fields of modern metallurgical engineering. This paper deals with unsteady disturbances possibly emerging at the free surface or the phase boundary within the solidification zone of a horizontal strip casting process. Assuming that the wave lengths of the disturbances are large compared to the characteristic depth of the melt, we can apply governing equations for one-dimensional flow. Furthermore, we assume the amplitudes of the disturbances to be so small that their evolution can be regarded as weakly nonlinear. Since unsteady wave propagation phenomena can arise from temperature variations as well as from the excitation of waves at the free surface or the solidification front, both mechanisms will be studied in the following. In the latter case the disturbances at the surface are found to be governed by the inviscid Burgers equations with varying coefficients and will then, in general, develop shock discontinuities. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869507
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  • 4
    Electronic Resource
    Electronic Resource
    Interacting laminar boundary layers in quasi-two-dimensional flow
    Amsterdam : Elsevier
    Fluid Dynamics Research 5 (1989), S. 29-47 
    Details
    ISSN: 0169-5983
    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/0169-5983(89)90009-9
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  • 5
    Electronic Resource
    Electronic Resource
    Book reviews (1996)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 999-1002 
    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/BF00920047
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  • 6
    Electronic Resource
    Electronic Resource
    Entry flow in weakly curved ducts (1984)
    Springer
    Archive of applied mechanics 54 (1984), S. 107-120 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Die Eigenschaften einer stationären, inkompressiblen Strömung im Einlaufbereich gekrümmter Rohre werden für große Reynoldszahlen theoretisch untersucht. Unter der Voraussetzung, daß die reibungsfreie Kernströmung hinreichend genau durch einen Potentialwirbel angenähert werden kann, werden die Grenzschichtgleichungen mit Integralmethoden gelöst. Um die Genauigkeit zu erhöhen, werden sowohl Impuls- als auch Energiebeziehungen verwendet.
    Notes: Summary The properties of steady incompressible flow in the entry region of curved ducts are studied theoretically for large Reynolds numbers. Under the assumption that the inviscid core flow may be approximated sufficiently well by a potential vortex the boundary layer equations are solved by means of integral methods. In order to improve the accuracy momentum as well as energy relationships are used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00533309
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  • 7
    Electronic Resource
    Electronic Resource
    Schallnahe Wellenausbreitungsvorgänge in schlanken Düsen (1972)
    Springer
    Acta mechanica 15 (1972), S. 105-119 
    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
    Description / Table of Contents: Summary An approximate method based on the quasi-one-dimensional theory for the calculation of transonic wave propagation in nozzles has been developed. The validity of the method is restricted to a small vicinity of the throat. As an example the transition from the steady symmetrical to steady asymmetrical flow caused by an expansion wave is worked out.
    Notes: Zusammenfassung Es wird ein Näherungsverfahren der eindimensionalen Theorie zur Berechnung von schallnahen Wellenausbreitungsvorgängen in Düsen entwickelt. Die Methode ist auf eine kleine Umgebung des Düsenhalses beschränkt. Als Anwendung wird der durch eine Expansionswelle eingeleitete Übergang von der stationären symmetrischen zur stationären asymmetrischen Strömungsform behandelt.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177289
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  • 8
    Electronic Resource
    Electronic Resource
    Interaction between a weak oblique shock wave and a turbulent boundary layer in purely supersonic flow (1984)
    Springer
    Acta mechanica 53 (1984), S. 37-56 
    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 paper deals with the interaction of a weak oblique shock and a turbulent boundary layer at a flat plate at purely supersonic speeds. Except for a small region where nonlinear transonic effects are of importance analytical expressions for the pressure- and skin friction distributions are derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176249
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  • 9
    Electronic Resource
    Electronic Resource
    On the nonlinear distortion of waves generated by interacting supersonic boundary layers (1985)
    Springer
    Acta mechanica 55 (1985), S. 177-189 
    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 order to obtain uniformly valid solutions which describe the interaction between laminar boundary layers and supersonic flows it is necessary, in general, to account for the nonlinear distortion of the associated wave fields. Results obtained by means of the analytical method of characteristics are applied to typical examples such as the flow over compression ramps, the flow near the trailing edge of a flat plate and shock boundary layer interactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175800
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  • 10
    Electronic Resource
    Electronic Resource
    Non-classical kinematic shocks in suspensions of particles in fluids (2000)
    Springer
    Acta mechanica 144 (2000), S. 197-210 
    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 properties of weakly nonlinear kinematic waves in suspensions are investigated under the assumption that the particle concentration deviates only slightly from the value at the inflexion point of the drift flux curve. Special emphasis is placed on the conditions for the existence of an internal dissipative-dispersive shock structure. The resulting shock admissibility criteria are found to be significantly different from those following from standard theories of kinematic waves. Most interesting, the analysis shows that non-classical shocks which emanate rather than absorb characteristics may be admissible under certain conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170175
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