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Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

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toward one another causes a macroscopic helixing at low T <strong>and</strong> causes thick regions to transiently appear at high T, a 1D analog<br />

of isl<strong>and</strong> formation on a rapidly compressed film.<br />

Author (revised)<br />

Ferroelectric Materials; Chirality; Liquid Crystals; Ferroelectricity<br />

<strong>2001</strong>0024903 Colorado Univ., Dept. of Chemical Engineering, Boulder, CO USA<br />

Thermocapillary-Induced Phase Separation with Coalescence<br />

Davis, R., Colorado Univ., USA; Rother, M., Colorado Univ., USA; Zinchenko, A., Colorado Univ., USA; Proceedings of the<br />

Fifth Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference; December 2000, pp. 341-357; In English; See also<br />

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

Underst<strong>and</strong>ing the behavior of dispersions of one liquid immersed in a second, immiscible liquid is important in both traditional<br />

engineering applications, such as separations <strong>and</strong> molten materials processing, as well as more fundamental problems in<br />

the general sciences. This work examines the interactions of two drops under conditions that viscous forces dominate inertia,<br />

focusing on the role of interfacial deformation. The pairwise information may then be used in the study of dilute dispersions, where<br />

the probability of three-body interactions is low. Two regimes of deformation are considered: small deformation, where the drops<br />

remain spherical except for a small flattening or dimpling between the drops, <strong>and</strong> moderate or large deformation, where the interfaces<br />

of both drops distort globally. The effects of deformation are significant, because small deformation inhibits drop coalescence,<br />

while global deformation promotes alignment of the drops, which may lead to coalescence, break-up of the smaller drop,<br />

or even more complicated coalescence-breakup phenomena. This paper is focused on the interaction of two drops of different size<br />

which experience buoyancy <strong>and</strong>/or thermocapillary relative motion. Small deformations are considered first, followed by moderate<br />

<strong>and</strong> large deformations. Using methodology from matched asymptotic expansions <strong>and</strong> a local boundary-integral approach,<br />

coupling the lubrication flow in the gap to the internal flow within the drops, the critical horizontal offset demarcating trajectories<br />

which lead to coalescence or separation of the drops with small deformations is found. The resulting collision efficiencies for<br />

slightly deformable (solid curves) <strong>and</strong> spherical (dashed curves) drops of ethyl salicylate (ES) in diethylene glycol (DEG) in gravitational<br />

motion is shown. The collision efficiency of slightly deformable drops is approximately the same for spherical drops<br />

until a particular value of the average radius at which the collision efficiencies for spherical <strong>and</strong> slightly deformed drops rapidly<br />

diverge. With a further increase in the average radius, the collision efficiency for slightly deformed drops quickly approaches zero,<br />

as the flattening <strong>and</strong> dimpling in the near-contact region slows the film drainage <strong>and</strong> reduces the coalescence rate. Population<br />

dynamics simulations of droplet growth due to coalescence are shown for the same ES/DEG system, but now in thermocapillarydriven<br />

motion, at volume fraction phi(sub 0) = 0.05. Although the two distributions for deformable drops in frames a <strong>and</strong> b begin<br />

with different initial conditions, they become nearly indistinguishable later as a result of the retardation of coalescence by small<br />

deformations. Coalescence may also be inhibited by appropriated anti-parallel alignment of the gravity vector <strong>and</strong> temperature<br />

gradient. Turning to larger deformations, computational results have been complemented by experiments with glycerol/water<br />

drops undergoing gravitational motion in castor oil. A particularly interesting phenomenon observed in the experiments is cyclic<br />

capture-breakup, in which the head of a smaller drop does not coalesce with a larger drop after breaking. Instead, the head of the<br />

smaller drop passes through the larger drop, moves back around it <strong>and</strong> is again captured <strong>and</strong> breaks. A typical cyclic process, which<br />

we have called ’suckthrough,’ for viscosity ratio unity is shown.<br />

Author (revised)<br />

Capillary Flow; Deformation; Drops (Liquids); Thermocapillary Migration; Phase Separation (Materials); Coalescing<br />

<strong>2001</strong>0024904 Illinois Univ., Dept. of Mechanical Engineering, Chicago, IL USA<br />

Fluid Dynamics <strong>and</strong> Solidification of Molten Solder Droplets Impacting on a Substrate in Microgravity<br />

Megaridis, C. M., Illinois Univ., USA; Poulikakos, D., Swiss Federal Inst. of Technology, Switzerl<strong>and</strong>; Boomsma, K., Illinois<br />

Univ., USA; Nayagam, V., National Center for Microgravity Research on Fluids <strong>and</strong> Combusiton, USA; Proceedings of the Fifth<br />

Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference; December 2000, pp. 358-371; In English; See also<br />

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

This research program investigates the fluid dynamics <strong>and</strong> simultaneous solidification of molten Sn/Pb solder droplets<br />

impacting on flat, smooth, unyielding substrates. The problem of interest combines a fundamental investigation of fluid transport<br />

<strong>and</strong> heat transfer, with the development of the novel technology of on-dem<strong>and</strong> dispension (printing) of microscopic solder deposits<br />

for the surface mounting of microelectronic devices. This technology, known as solder jetting, features on-dem<strong>and</strong> deposition of<br />

miniature solder droplets (30 to 120 microns in diameter) in very fine, very accurate patterns using techniques analogous to those<br />

developed for the ink-jet printing industry. After ejection, the molten metal droplets collide, spread, recoil <strong>and</strong> eventually solidify<br />

on the substrate. This solder application technology has shown great promise in microelectronic packaging <strong>and</strong> assembly, therefore,<br />

the development of a good underst<strong>and</strong>ing of the pertinent fundamental fluid dynamics <strong>and</strong> solidification phenomena is essen-<br />

72

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