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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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equations of motion in geophysical fluid flows have lead to a dependency on asymptotic mathematical methods <strong>and</strong> computational<br />

methods for theoretical underst<strong>and</strong>ing. Much of the data regarding geophysical flows has come from direct planetary observations.<br />

These observations are made with little or no control over the many complicated factors influencing the flow. Although no<br />

experimental system is perfect, an experiment never misses a nonlinear interaction <strong>and</strong> may be accessible to a wide range of parameters.<br />

At the very least, a well-controlled experiment can provide important information to help validate numerical models. In our<br />

proposed experimental system, a central-force is applied to, incompressible, compressible, <strong>and</strong> two-phase fluids in spherical<br />

geometry. The central force is created using an AC electric field in a spherical capacitor filled with dielectric fluid between the<br />

spheres. A fluid may be made compressible or two-phase by controlling a sample fluid’s density <strong>and</strong> ambient temperature. In other<br />

words, our system is filled to the critical density <strong>and</strong> is placed near its liquid-gas critical point by controlling the ambient temperature.<br />

Because of the temperature dependence of the dielectric constant <strong>and</strong> the temperature dependence of the fluid density, a buoyancy<br />

force drives a flow when the inner sphere is heated to a higher temperature than the outer sphere. Our previous work was<br />

limited in geophysical similarity because our system was not rotated <strong>and</strong> it is also subjected to the usual gravitation buoyancy force<br />

from the earth that breaks the spherical symmetry. Our proposed new system will be rotated in micro-gravity. In this talk I will<br />

survey our previous results <strong>and</strong> discuss our proposed experimental system. Real time holographic interferometry <strong>and</strong> shadowgraph<br />

visualization are used to study convection in the fluid between two concentric spheres when two distinct buoyancy forces<br />

are applied to the fluid. The heated inner sphere has a constant temperature that is greater than the outer sphere’s constant temperature<br />

by (Delta)T <strong>and</strong> an AC voltage difference, (Delta)V, is applied between the inner <strong>and</strong> outer spheres. The resulting electric<br />

field gradient in this spherical capacitor produces a central polarization force. The temperature dependence of the dielectric<br />

constant results in a radial buoyancy force that is especially large near the inner sphere. The normal buoyancy is always present<br />

<strong>and</strong>, within the parameter range explored in our experiment, always results in a large-scale axi-symmetric cell with the axis along<br />

the vertical. We have found that this flow becomes unstable to toroidal or spiral rolls that travel vertically upward when (Delta)T<br />

<strong>and</strong> (Delta)V are sufficiently high. These rolls start near the center sphere’s equator <strong>and</strong> travel vertically upward. The onset of<br />

this instability depends on both the temperature difference (Delta)T <strong>and</strong> the voltage difference (Delta)V <strong>and</strong> these two quantities<br />

appear to be related, within the parameter range accessible to our experimental system, by a power law. Measurements of the heat<br />

transfer show that these traveling rolls increase the heat transfer at onset. Far above onset the heat transfer may actually decrease<br />

with increasing (Delta)T. The traveling roll’s frequency increases with increasing (Delta)T near onset <strong>and</strong> with increasing<br />

(Delta)V far above onset. These results have been interpreted in terms of the flow structure that includes a thermal boundary layerlike<br />

behavior with a width that increases from the bottom pole to an unstable ”latitude” near the equator where the rolls appear.<br />

by varying the ambient temperature of the capacitor filled with near-critical fluid, we have observed the effects that an applied<br />

voltage has on the fluid during a parabolic flight. Although we had hoped to observe <strong>and</strong> verify that a spherical density gradient<br />

is produced in the fluid, the actual conditions in flight did not allow this to happen. We did, however, see clear evidence of the<br />

existence of the influence of this force on the fluid. Below the critical temperature the liquid was clearly attracted by the polarization<br />

force while the gas was repelled. It shows the this repelling effect on a bubble that is pushed to the outer sphere. As can be<br />

seen the electric field attracts the higher density liquid toward the center electrode where the electric flux is higher. In the 0(suub<br />

g) to 2(sub g) part of a parabolic flight <strong>and</strong> above the critical temperature, a supercritical fluid forms a vertical density gradient<br />

because of its very high compressibility. The resulting horizontal near-critical fluid layer is clearly modified by the electric field,<br />

i.e., the higher density fluid is attracted toward the inner sphere. It shows that the initially horizontal layer is deformed by attracting<br />

higher density fluid toward the inner sphere while the lower density fluid moves away producing the curved layer shown. These<br />

experiments clearly suggest that geophysical analogies using near-critical fluids in micro-gravity are possible when this system<br />

in heated <strong>and</strong> rotated.<br />

Author (revised)<br />

Fluid Flow; Spheres; Rotation; Real Time Operation; Temperature Dependence; Convection; Coriolis Effect<br />

<strong>2001</strong>0025020 Massachusetts Inst. of Tech., Cambridge, MA USA<br />

The Evolution of Tensile Stresses in Uniaxial Elongational Flows of Dilute Polymer Solutions Subjected to a Known Preshear<br />

History<br />

Mckinley, Gareth H., Massachusetts Inst. of Tech., USA; Anna, Shelley L., Harvard Univ., USA; Proceedings of the Fifth Microgravity<br />

Fluid Physics <strong>and</strong> Transport Phenomena Conference; December 2000, pp. 1869-1887; In English; See also <strong>2001</strong>0024890;<br />

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

Complicated deformation histories make the extensional behavior observed in many strong flows of polymeric liquids<br />

extremely difficult to characterize precisely. The generation of a homogeneous uniaxial deformation flow in a microgravity environment<br />

is the goal of the Extensional Rheology Experiment (ERE). In advance of obtaining flight data from this experiment, we<br />

attempt to gain insight into the effect of complex deformation histories by imposing a known <strong>and</strong> controlled preshear history on<br />

a liquid bridge prior to imposing a nearly ideal uniaxial elongational flow in a Filament Stretching device. The instrument can<br />

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