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Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

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scopic rheological properties (FOAM = Foam Optics <strong>and</strong> Mechanics). After all, a better underst<strong>and</strong>ing of drainage could lead to<br />

a means by which it may be circumvented.<br />

Author (revised)<br />

Foams; Drainage; Gas Transport; Liquid-Gas Mixtures<br />

<strong>2001</strong>0024933 Illinois Univ., Theoretical <strong>and</strong> Applied Mechanics, Urbana, IL USA<br />

Foam Evolution: Experiments <strong>and</strong> Simulations<br />

Aref, H., Illinois Univ., USA; Sullivan, J. M., Illinois Univ., USA; Thoroddsen, S. T., Illinois Univ., USA; Proceedings of the Fifth<br />

Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference; December 2000, pp. 964-983; In English; See also<br />

<strong>2001</strong>0024890; No Copyright; Avail: CASI; A03, Hardcopy; A10, Microfiche<br />

We describe several areas of work on the fluid physics of foam evolution <strong>and</strong> flow, including experimental observations,<br />

mathematical models, <strong>and</strong> numerical simulations. We have made detailed observations of the topological reconnections that occur<br />

in an evolving foam, <strong>and</strong> propose a new model for the flow there. We describe the phase transition which can happen as a foam<br />

is exp<strong>and</strong>ed until it exerts negative pressure on its container. We are exploring new optical tomography techniques to observe an<br />

evolving foam <strong>and</strong> reconstruct the three-dimensional structure. We compare the evolution of a real foam with simulations in<br />

Brakke’s Evolver. We can also simulate infinite periodic foams, including new mathematical possibilities for tetrahedrally closepacked<br />

(TCP) structures.<br />

Author (revised)<br />

Fluid Dynamics; Foams; Phase Transformations; Chemical Evolution<br />

<strong>2001</strong>0024934 Yale Univ., Dept. of Chemical Engineering, New Haven, CT USA<br />

Linear Viscoelastic Response of a Concentrated Emulsion<br />

Loewenberg, M., Yale Univ., USA; Blawzdziewicz, J., Yale Univ., USA; Nemer, M., Yale Univ., USA; Proceedings of the Fifth<br />

Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference; December 2000, pp. 984-986; In English; See also<br />

<strong>2001</strong>0024890; No Copyright; Abstract Only; Available from CASI only as part of the entire parent document<br />

Analytical results for the dynamics of thin inextensible films have been incorporated in theoretical models <strong>and</strong> simulations<br />

of the dynamics of two-dimensional systems. In three dimensions, the effective interparticle-potential model has been supplemented<br />

by simple bubble-bubble frictional dissipation. However,these models cannot describe the effect of detailed drop-scale<br />

dynamics on the evolution of the system. In general, the development of theories for the rheology of foams <strong>and</strong> emulsions will<br />

require a detailed underst<strong>and</strong>ing of the relevant drop-level dynamics. In this presentation, we describe a numerical investigation<br />

of the role of detailed drop-scale microphysics on the linear viscoelastic behavior of dense two-dimensional emulsions; Stokes<br />

equations are assumed <strong>and</strong> surfactant effects are neglected. We consider an ordered hexagonal lattice of drops for which the linear<br />

relation between stress <strong>and</strong> strain is isotropic. The system is thus characterized by a single frequency-dependent linear viscoelastic<br />

modulus. For dispersed-phase volume fraction phi beyond a critical value phi(sub c) = pi/2(sq rt 3), the drops are in a state of compression.<br />

For small-amplitude shape perturbations, delta-x, the response of the system of the system is linear d(delta-x)/dt = A<br />

delta-x, where the linearized velocity operator A is obtained by solving the Stokes equations with the boundary-integral method.<br />

by projecting the normal modes of A onto a step strain perturbation, the corresponding contribution to the shear stress is calculated.<br />

The relaxation times <strong>and</strong> amplitudes corresponding to the normal-mode decomposition are plotted for two subcritical values of<br />

phi. Only a few modes are significantly excited. The dominant mode corresponds to the largest relaxation time, which is associated<br />

with the lubrication resistance between closely spaced drops, <strong>and</strong> diverges as phi/phi(sub c) goes to 1. The relaxation times <strong>and</strong><br />

amplitudes are plotted for two super-critical values of phi. In this regime, the response of the system is dominated by decay on<br />

capillary relaxation time scale; a long time scale is evident but with small amplitude. The average relaxation time tau (zeroth<br />

moment of relaxation spectrum), indicates that the average relaxation time diverges as phi goes to phi(sub c)(sup -). This behavior<br />

is associated with the lubrication singularity of the zero-frequency viscosity; according to a lubrication analysis, tau diverges as<br />

a simple pole at phi = phi(sub c). by contrast, tau is nonsingular for phi is greater than phi(sub c).<br />

Author (revised)<br />

Fluid Dynamics; Viscoelasticity; Thin Films; Drops (Liquids)<br />

<strong>2001</strong>0024935 Colorado Univ., Lab. of Atmospheric <strong>and</strong> Space Physics, Boulder, CO USA<br />

Dusty Plasma Dynamics Near Surfaces in Space<br />

Robertson, Scott, Colorado Univ., USA; Sickafoose, Am<strong>and</strong>a, Colorado Univ., USA; Colwell, Joshua, Colorado Univ., USA;<br />

Horanyi, Mihaly, Colorado Univ., USA; Proceedings of the Fifth Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference;<br />

December 2000, pp. 987-1005; In English; See also <strong>2001</strong>0024890; No Copyright; Avail: CASI; A03, Hardcopy; A10, Microfiche<br />

90

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