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  • 1
    Electronic Resource
    Electronic Resource
    The stick-slip problem for a round jet (1980)
    Springer
    Rheologica acta 19 (1980), S. 404-420 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung Das Haft-Gleit-Problem wird für einen runden Strahl auf zwei verschiedene Weisen gelöst: durch die Wiener-Hopf-Methode und durch eine direkte Methode, bei der die Eigenfunktionslösungen für Rohr und Freistrahl an der gemeinsamen Grenze aneinander angeschlossen werden. Mit beiden Methoden erhält man die gleiche Lösung, aber die Eigenfunktionsmethode ist direkter und konvergiert schneller. Glaubwürdige graphische Darstellungen des Verlaufs der Geschwindigkeitskomponenten, der Spannungen und der Drücke für verschiedene axiale Lagen in Rohr und Freistrahl werden mitgeteilt. Die Gestalt der freien Oberfläche für einen mit langsamer Geschwindigkeit austretenden Strahl wird mit Hilfe einer Störungsmethode berechnet.
    Notes: Summary The stick-slip problem for a round jet is solved in two ways: by a Wiener-Hopf method and by a direct method in which eigenfunction solutions in the pipe and jet are matched on their common boundary. The same solution is obtained by the two methods, but the eigenfunction method is more direct and converges more rapidly. Reliable graphs are presented for the distributions of the velocity components, stresses and pressures at different axial positions in the pipe and jet. The shape of the free surface for the low speed jet is computed by a perturbation method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01524013
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  • 2
    Electronic Resource
    Electronic Resource
    The stick-slip problem for a round jet (1981)
    Springer
    Rheologica acta 20 (1981), S. 1-13 
    Details
    ISSN: 1435-1528
    Keywords: Stick-slip ; low speed jet ; surface tension ; matched eigenfunction expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung Das in Teil I untersuchte Haft-Gleit-Problem für einen runden Strahl liefert eine gute Näherung für die Strahlaufweitung bei langsamer Austrittsgeschwindigkeit, wenn die Oberflächenspannung groß ist, versagt dagegen bei kleiner Oberflächenspannung. In der vorliegenden Veröffentlichung wird daher ein neues Haft-Gleit-Problem (II) definiert und mittels aneinander angeschlossener Eigenfunktionsentwicklungen gelöst. Dieses Problem geht in das schon früher in Teil I gelöste Problem über, wenn die Oberflächenspannung groß ist, liefert aber auch bei kleiner oder gar verschwindender Oberflächenspannung gute Ergebnisse.
    Notes: Summary The stick-slip problem for a round jet studied in Part I gives a good approximation for the swell of a low speed jet when the surface tension is large but it fails when the surface tension is small. In this paper a new stick-slip problem (II) is defined and solved using matched eigenfunction expansions. The new problem reduces to that solved in Part I when the surface tension is large and gives good results in the case of zero and small surface tension.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01517467
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    An eigenfunction solution of entry flow in a semi-infinite pipe at low Reynolds numbers (1985)
    Springer
    Flow, turbulence and combustion 42 (1985), S. 347-359 
    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: Abstract The developing flow in a semi-infinite pipe is solved for by an eigenfunction method. The results are applicable to zero and low Reynolds number flows. The eigenfunction method yields a solution which accurately predicts overshoots in the axial velocity for small axial positions. Results are presented for both uniform and non-uniform inlet conditions. The latter condition has important implications for numerical simulations of the developing flow problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00384212
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Unsteady axisymmetric creeping flow from an orifice (1991)
    Springer
    Acta mechanica 88 (1991), S. 61-75 
    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 slow unsteady motion of a viscous incompressible fluid which issues from a finite orifice into the half-space,x〉0 is considered. By slow it is meant that the convective acceleration (i.e. nonlinear) terms in the Navier-Stokes equations are of negligible magnitude in comparison with terms attributable to viscosity. Only axisymmetric motions will be considered. The assumed nature of the motion along with the resultant linearization of the Navier-Stokes equations allows the construction of the Stokes stream function for the flow. Others have discussed this problem when the motion is steady. A general representation for the flow is given when the motion is unsteady and numerical results are presented for the resulting evolutionary motion of specific flows issuing from the orifice.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170593
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Small amplitude vibration of viscoelastic plates (1984)
    Springer
    Acta mechanica 53 (1984), S. 233-243 
    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 equations of incompressible linear viscoelasticity are averaged over the thickness of a thin plate. The basic equations governing the extensional and flexural motion of the plate are obtained when displacements are assumed to be linear across the thickness of the plate. A dispersion relation governing the propagation of flexural waves is obtained which incorporates characterizing parameters of the material. Numerical results are presented for the decay of waves in a semi-infinite plate which is excited harmonically at one boundary. The results show how characterizing parameters affect the decay of waves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177953
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    Paper (German National Licenses)
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