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  • 1
    Digitale Medien
    Digitale Medien
    The flow of a liquid film on the inside of a rotating cylinder, and some related problems (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 2184-2190 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: A liquid film flows on the inner surface of a rotating horizontal cylinder. The simplest lubrication model assumes a force balance between viscosity and the streamwise component of gravity, and the equation for the film thickness admits a continuous solution only when the average thickness is less than a certain critical value. Above this value, a discontinuous solution is possible but the details are not accessible by means of the simple theory. This behavior can be traced to the gradual periodic variation of the streamwise component of gravity in the streamwise direction. We consider also two related problems in which this variation occurs more or less abruptly: (i) when the moving wall comprises two straight segments inclined at different angles, and (ii) when the dragged film emerges through the free surface of a second, overlying liquid. These problems are approached by introducing a smoothing parameter, namely surface tension, and solving a suitable initial value problem. We use the method of lines for this purpose because of the availability of robust ODE software which can exploit the structure of the problem; however, the periodic conditions of the cylinder problem necessitate a special approach to the discretization. © 1997 American Institute of Physics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.869476
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  • 2
    Digitale Medien
    Digitale Medien
    Spin-coating of a viscoplastic material (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 2291-2297 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: The flow of a thin film of a yield-stress material on a rotating disc is considered. For the constitutive relation we use the biviscosity model, of which the usual Bingham model is a limiting case. We show that this limiting process conflicts with the usual thin film approximation, so that care is needed to avoid contradictions. It is found that the flow consists of three regions: (1) an inner region centered on the axis of rotation which is unyielded, (2) a shear flow region adjacent to the disc which is bounded above by the yield surface and (3) a region near to the free surface which is unyielded and has the yield surface as lower boundary. It is in the third region that difficulties occur in the straightforward "Bingham limit.'' For on the one hand the material is rigid, and on the other it is supposed to move outwards radially. This conflict can be removed by using the biviscosity model and a suitable limiting process. © 1996 American Institute of Physics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.869016
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  • 3
    Digitale Medien
    Digitale Medien
    Growth rates of the Marangoni instability in a layer of elastic liquid (1995)
    Springer
    Rheologica acta 34 (1995), S. 601-605 
    Details
    ISSN: 1435-1528
    Schlagwort(e): Growth rate ; Marangoni ; elastic liquid
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Abstract The problem of thermocapillary (Marangoni) convection in a layer of viscoelastic liquid is considered. The stability boundary for this problem has been previously calculated in various cases by a number of authors. Here attention is fixed on the magnitude of the growth rate in the parameter regime corresponding to instability. Two noteworthy features are pointed out. First, there are anomalously large values of the growth rate at or near the limiting special case of a Maxwell fluid. Second, the complex values of the growth rate (corresponding to overstability, or the onset of instability via oscillatory motion) coalesce into real (positive) values at moderately supercritical values of the Marangoni number, suggesting that overstability might be elusive to observation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00712319
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  • 4
    Digitale Medien
    Digitale Medien
    A note on laminar radial flow between parallel plates (1972)
    Springer
    Flow, turbulence and combustion 25 (1972), S. 349-354 
    Details
    ISSN: 1573-1987
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Abstract Various criticisms are given of the published work on the theoretical aspect of the title problem. Some suggestions are made for the improvement of the theory. The main contribution is concerned with inertial effects at moderately large radii.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00382307
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  • 5
    Digitale Medien
    Digitale Medien
    The drag-out problem in film coating theory (1982)
    Springer
    Journal of engineering mathematics 16 (1982), S. 209-221 
    Details
    ISSN: 1573-2703
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Technik allgemein
    Notizen: Summary An important step towards the understanding of many industrial coating processes is a solution of the dragout problem, which is to determine the thickness of the film of liquid which clings to a plate when it is drawn steadily out of a bath of the liquid. An approximate solution, valid for small capillary numbers, was given by Landau and Levich, and considerable effort has been exerted to extend or refine this work. In this paper we show that the Landau-Levich result is an asymptotic solution valid as the capillary number tends to zero, a fact not properly appreciated hitherto, and show how correction terms may be obtained by the method of matched expansions. We also show how the results may be applied to the coating of a horizontal roller.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00042717
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  • 6
    Digitale Medien
    Digitale Medien
    The measurement of bulk viscosity and the elastic-viscous analogy (1997)
    Springer
    Acta mechanica 120 (1997), S. 217-225 
    Details
    ISSN: 1619-6937
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Physik
    Notizen: Summary The motion of a liquid containing a substantial volume fraction of gas bubbles can often be calculated by considering a suitably averaged single phase continuum. This averaged material will be compressible as well as viscous and the problem arises to the determination (by experiment) of its shear and bulk viscosity coefficients. The direct measurement of bulk viscosity would be difficult, and the usual approach has been to measure an apparent elongational viscosity and then appeal to an analogy between elasticity and viscosity, claiming a connection similar to that which holds between the various elastic moduli. It is shown that this analogy does not hold in compression and that the experiments must be reinterpreted more carefully.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01174325
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  • 7
    Digitale Medien
    Digitale Medien
    Comments and author's reply on “The measurement of bulk viscosity and the elastic-viscous analogy” by S. D. R. Wilson [Acta Mechanica 120, 217–225 (1997)] (1998)
    Springer
    Acta mechanica 128 (1998), S. 263-266 
    Details
    ISSN: 1619-6937
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Physik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01251897
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  • 8
    Digitale Medien
    Digitale Medien
    Coating flow on to rods and wires (1988)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 34 (1988), S. 1732-1735 
    Details
    ISSN: 0001-1541
    Schlagwort(e): Chemistry ; Chemical Engineering
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Werkstoffwissenschaften, Fertigungsverfahren, Fertigung
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/aic.690341020
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  • 9
    Digitale Medien
    Digitale Medien
    Flow of a liquid film down a slightly inclined tube (1974)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 20 (1974), S. 408-410 
    Details
    ISSN: 0001-1541
    Schlagwort(e): Chemistry ; Chemical Engineering
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Werkstoffwissenschaften, Fertigungsverfahren, Fertigung
    Zusätzliches Material: 1 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/aic.690200235
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