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  • 1
    Electronic Resource
    Electronic Resource
    Relation between chemical Structure and Absorption Spectra of Monoazo Dyes containing the benzo(b)thiophene nucleus and its derivatives (1971)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1131-1138 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The ultraviolet and visible absorption spectra of some azo dyes containing the benzo(b)-thiophene, benzo(b)thiophene-1,1-dioxide and 2,3-dihydrobenzo(b)thiophene-1,1-dioxide moieties are investigated in correlation to their molecular structure. It was found that the position of absorption bands depends upon the type of moieties attached to the azo centre.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19713130619
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  • 2
    Electronic Resource
    Electronic Resource
    The equation of state of a foam (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 23-28 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The equation of state of a dry foam with ideal gas in the bubbles, proposed by Ross, is proved. This equation suggests that a foam with a free boundary will expand to a maximum volume if the external pressure is lowered at constant temperature. The same foam enclosed in a container, on the other hand, can be expanded further but, as the volume is increased, will eventually become unstable. We speculate that this instability leads to a "bubble differentiation" transition of the kind observed by Herdtle in numerical simulations of two-dimensional foam with ideal gas in the bubbles. In the simulations the foam separated into two "phases," one with a large number of small bubbles, another with a small number of very large bubbles. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870281
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  • 3
    Electronic Resource
    Electronic Resource
    Four-vortex motion with zero total circulation and impulse (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 3704-3715 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The problem of four interacting point vortices on the unbounded plane with vanishing total circulation and vanishing impulse is reduced to a three-body problem analogous to the three-vortex problem on the unbounded plane. A "phase plane analysis" using trilinear coordinates, similar to that used for the three-vortex problem, is presented and used to discuss details of the motion. The methodology and results complement earlier analyses of the same problem by Eckhardt and Rott. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870233
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  • 4
    Electronic Resource
    Electronic Resource
    Self-similarity theory of stationary coagulation (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 14 (2002), S. 694-703 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A theory of stationary particle size distributions in coagulating systems with particle injection at small sizes is constructed. The size distributions have the form of power laws. Under rather general assumptions, the exponent in the power law is shown to depend only on the degree of homogeneity of the coagulation kernel. The results obtained depend on detailed and quite sensitive estimates of various integral quantities governing the overall kinetics. The theory provides a unifying framework for a number of isolated results reported previously in the literature. In particular, it provides a more rigorous foundation for the scaling arguments of Hunt, which were based largely on dimensional considerations. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1430440
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  • 5
    Electronic Resource
    Electronic Resource
    Erratum: "A blinking rotlet model for chaotic advection" [Phys. Fluids 8, 3215 (1996)] (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 1543-1543 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869791
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  • 6
    Electronic Resource
    Electronic Resource
    Morphological transition in compressible foam (2001)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 13 (2001), S. 2152-2160 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A theory is constructed to describe the morphological transition that occurs in a compressible foam when its volume is increased. The foam is observed to separate into two bubble populations or "phases," one consisting of a large number of small bubbles, the "liquid" phase, the other consisting of a small number of large bubbles, the "gaseous" phase. First, working along lines similar to the van der Waals theory for a fluid system, approximate forms of the equation of state of the foam are derived and explored. These describe the weakly compressible range well, but fail to capture the nature of the transition. Taking a clue from the phenomenology, a theory of the "phase-separated" regime is then formulated working with the approximation that the two phases into which the foam separates are each relatively homogeneous. The successful single-phase formulas are applied to each phase, introducing an additional "order parameter" which gives the ratio of the average size of bubbles in the two phases. Approximate expressions are written for the Helmholtz free energy and the equilibria of the foam derived from these. The theory is compared to numerical simulations using SURFACE EVOLVER with very satisfying results. The transition from a uniform to a nonuniform configuration consists of avalanches of reconnections with smooth evolution between them. Hysteresis is observed as the foam is first expanded and then compressed. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1384881
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  • 7
    Electronic Resource
    Electronic Resource
    A transformation of the point vortex equations (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 14 (2002), S. 2395-2401 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A transformation of the point vortex equations is introduced and studied. The transformation substitutes two point vortices for each vortex used in the calculation of induced velocity at a point, in particular in the calculation of the velocity of another vortex in the system. For certain symmetric configurations, such as the vortex polygons, this substitution simplifies the calculation of velocity very considerably. The case of three vortices is also considered, where the circumcircle of the vortex triangle may be used for the transformation. The transformation suggests a new differential relation for the vortex velocities in a many-vortex system. Applications of this result are given. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1483875
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  • 8
    Electronic Resource
    Electronic Resource
    The development of chaotic advection (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 14 (2002), S. 1315-1325 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The concept of chaotic advection was developed some twenty years ago as an outgrowth of work on advection by interacting point vortices. The term "chaotic advection" was first introduced in the title of an abstract for the 35th annual meeting of the American Physical Society (APS) Division of Fluid Dynamics (DFD) in 1982. The main reference, a Journal of Fluid Mechanics paper published in 1984, may be the true "birthdate" of the term. Earlier work from the 1960s by Arnol'd and Hénon on advection by steady three-dimensional flows already contained closely related ideas and results but was not widely appreciated. The present paper, based on the 2000 Otto Laporte Memorial Lecture delivered at the 53rd APS/DFD annual meeting, traces these and other precursors and the development of chaotic advection over the past two decades. Some exciting recent developments, such as application to fluid mixing in micro-electromechanical systems (MEMS) and to materials processing, and the introduction of topological methods of analysis, are highlighted. On balance, chaotic advection is now established as a subtopic of fluid mechanics with wide ramifications and continued promise for theory, experiment and applications. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1458932
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  • 9
    Electronic Resource
    Electronic Resource
    A model of bubble dynamics in a Hele–Shaw cell (1988)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 752-763 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model of the interaction of small, well-separated bubbles of one fluid propagating through another "resident'' fluid in a Hele–Shaw cell is introduced and studied. In the model each bubble acts on the others by setting up a velocity field of the dipole type. A system of ordinary differential equations is developed for the bubble positions. The system is solved completely for the two-bubble problem. The three-bubble problem is addressed by numerical simulations. A set of self-similar motions are also found analytically. The dynamics of rows of bubbles is investigated analytically and via numerical simulations. Although clearly an extreme idealization, the model appears to shed considerable light on what to expect in laboratory experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866811
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  • 10
    Electronic Resource
    Electronic Resource
    Enhanced separation of diffusing particles by chaotic advection (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 470-474 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Combining the reversibility of advection by a Stokes flow with the irreversibility of diffusion leads to a separation strategy for diffusing substances. This basic idea goes back to Taylor and Heller. It is shown here that the sensitivity of the method can be greatly enhanced by making the advection chaotic. The separation is particularly efficient when the thinnest structures resulting from advection are made comparable in size to a diffusion length. Simple heuristic estimates based on an understanding of chaotic motion and diffusion lead to a certain scaling that is seen in numerical experiments on this separation method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857416
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