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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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when the buoyancy is removed, for example, in the microgravity environment. Thus, quantitative data on the spatial <strong>and</strong> temporal<br />

evolutions of the instability, length <strong>and</strong> time scale of the oscillating mode <strong>and</strong> its effects on the mean flow <strong>and</strong> breakdown of the<br />

potential core are needed in normal <strong>and</strong> microgravity to delineate gravitational effects in buoyant jets. In momentum dominated<br />

low-density jets, the instability is speculated to originate in the potential core. However, experiments have not succeeded in identifying<br />

the direct physical cause of the instability. For example, the theory predicts an oscillating mode for Sis less than 0.62 in the<br />

limit of zero momentum thickness, which contradicts with the experimental findings of Kyle <strong>and</strong> SReenivasan. The analyses of<br />

momentum-dominated jets neglect buoyancy effects because of the small Richardson number. Although this assumption is<br />

appropriate in the potential core, the gravitational effects are important in the annular region surrounding the jet, where the density<br />

<strong>and</strong> velocity gradients are large. This reasoning provides basis for the hypothesis that the instability in low Richardosn number<br />

jets studied by Kyle <strong>and</strong> SReenivasan <strong>and</strong> Monkewitz et al. is caused by buoyancy. The striking similarity in characteristics of<br />

the instability <strong>and</strong> virtually the identical conclusions reached by Subbarao <strong>and</strong> Cantwell in buoyant (Ri>0.5) helium jets on one<br />

h<strong>and</strong> <strong>and</strong> by Kyle <strong>and</strong> SReenivasan in momentum-dominated (Riis less than 1x10(exp -3)) helium jets on the other support this<br />

hypothesis. However, quantitative experiments in normal <strong>and</strong> microgravity are necessary to obtain direct physical evidence of<br />

buoyancy effects on the flow instability <strong>and</strong> structure of momentum-dominated low-density jets. The primary objective of this<br />

new research project is to quantify how buoyancy affects the flow instability <strong>and</strong> structure in the near field of low-density jets.<br />

The flow will be described by the spatial <strong>and</strong> temporal evolutions of the instability, length <strong>and</strong> time scales of the oscillating mode,<br />

<strong>and</strong> the mean <strong>and</strong> fluctuating concentration fields. to meet this objective, concentration measurements will be obtained across the<br />

whole field using quantitative Rainbow Schlieren Deflectometry, providing spatial resolution of 0.1mm <strong>and</strong> temporal resolution<br />

of 0.017s to 1ms. The experimental effort will be supplemented with linear stability analysis of low-density jets by considering<br />

buoyancy. The first objective of this research is to investigate the effects of gravity on the flow instability <strong>and</strong> structure of low-density<br />

jets. The flow instability in these jets has been attributed to buoyancy. by removing buoyancy in our experiments, we seek<br />

to obtain the direct physical evidence of the instability mechanism. In the absence of the instability, the flow structure will undergo<br />

a significant change. We seek to quantify these changes by mapping the flow field (in terms of the concentration profiles) of these<br />

jets at non-buoyant conditions. Such information is presently lacking in the existing literature. The second objective of this<br />

research is to determine if the instability in momentum-driven, low-density jets is caused by buoyancy. At these conditions, the<br />

buoyancy effects are commonly ignored because of the small Richardson based on global parameters. by eliminating buoyancy<br />

in our experiments, globally as well as locally, we seek to examine the possibility that the instability mechanism in self-excited,<br />

buoyant or momentum-driven jets is the same. to meet this objective, we would quantify the jet flow in normal <strong>and</strong> microgravity,<br />

while systematically decreasing the Richardson number from buoyancy-driven to momentum driven flow regime. The third<br />

objective of this research is to perform a linear stability analysis of low-density gas jets by including the gravitational effects. The<br />

flow oscillations in these jets are attributed to an absolute instability, whereby the disturbance grows exponentially at the site to<br />

ultimately contaminate the entire flow field. We seek to study the characteristics of both convective <strong>and</strong> absolute instabilities <strong>and</strong><br />

demarcate the boundary between them.<br />

Author (revised)<br />

Buoyancy; Flow Stability; Gas Jets; Gravitational Effects; Microgravity; Momentum; Low Density Flow<br />

<strong>2001</strong>0024954 Florida State Univ., Tallahassee, FL USA<br />

Lattice-Boltzmann Methods for Multiphase Flows in Microgravity Environments<br />

Chella, R., Florida State Univ., USA; Proceedings of the Fifth Microgravity Fluid Physics <strong>and</strong> Transport Phenomena Conference;<br />

December 2000, pp. 1193-1195; In English; See also <strong>2001</strong>0024890; No Copyright; Abstract Only; Available from CASI only as<br />

part of the entire parent document<br />

This is a newly funded project to use lattice-Boltzmann techniques to provide a computationally efficient <strong>and</strong> robust approach<br />

to study multiphase flow <strong>and</strong> transport in microgravity environments. The project objectives <strong>and</strong> approach are summarized, <strong>and</strong><br />

some preliminary results provided. Phase Separation Under Externally Applied Flows - Study of the influence of externally<br />

applied flows in retarding phase separation <strong>and</strong> stabilizing non-equilibrium morphologies in binary fluids undergoing spinodal<br />

decomposition <strong>and</strong> nucleation <strong>and</strong> growth of droplets. Analysis of time-dependent shear <strong>and</strong> normal stresses developed in these<br />

complex fluids. Phase Separation In Confined Geometries - Study of the role of short-range <strong>and</strong> long-range interactions at solid<br />

surfaces on phase separation of binary fluids in confined geometries. Quantitatively, to study the range of parameters where the<br />

transition from one morphology to the other occurs, <strong>and</strong> the scaling behavior of the structure factor <strong>and</strong> the growth law of the<br />

characteristic length scale of the growing domains. Contact Line Dynamics - Study of droplet, spreading, in particular the evolution<br />

of the contact angle in droplet spreading, influence of the short-range <strong>and</strong> long-range solid-fluid interactions on the equilibrium<br />

droplet shape <strong>and</strong> scaling relations for the slip velocity in terms of the surface tension, viscosity of the advancing fluid, <strong>and</strong><br />

the deviation of the contact angle from its equilibrium value. Dynamics of the contact line at a moving solid surface, in particular,<br />

the evolution of the advancing <strong>and</strong> receding contact, angles, <strong>and</strong> their dependence on the interfacial tension, fluid viscosities, <strong>and</strong><br />

101

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