Abstract
The geometry of a thin sheet metal vane terminating near a wall in a surface tension propellant management device (PMD) is common in devices designed by various people. A research program into the capillary fluid physics of the common vane-wall gap began in 1998 with the arrival of the second author at the School of Aeronautics and Astronautics at Purdue University. Drop tower experiments, Surface Evolver computations, and analysis were combined to explore the details of the fluid behavior in the vane-wall gap geometry. Results of four vane-wall gap experiment topics: critical wetting, advance rates, sensitivity to vane orientation, and effect of imperfect initial conditions, are discussed here. This work led to a desire by Weislogel to incorporate this type of geometry into his “Capillary Fluids Experiment” (CFE) that operated flawlessly on the International Space Station in 2006 and 2007. It is found that the wetting of vane-wall gaps is predicted correctly through use of the critical wetting analysis of Concus and Finn. Furthermore, the dynamics of the wetting flows are found to have scaling of flow rates versus time similar to those known for capillary advances in solid corners. In some cases, a seemingly misaligned vane is found to have more rapid capillary advance than for the same vane and gap but with the vane normal to the tank wall. An initial drop tower study of sensitivity to imperfect initial conditions shows that a critical wetting flow is largely immune to small tilts in the initial test orientation but that larger errors can be seen in cases that lack critical wetting and in the measurements of the time history of the meniscus minimum point.
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Bolleddula, D.A., Chen, Y., Semerjian, B., Tavan, N., Weislogel, M.M.: Compound capillary flows in complex containers: drop tower test results. Microgravity Sci. Technol. (2009). doi:10.1007/s12217-010-9213-x
Brakke, K.A.: The Surface Evolver. Exp. Math. 1(2), 141–165 (1992)
Chen, Y.: A study of capillary flow in a vane-wall gap in zero gravity. Ph.D. thesis, School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN (2003)
Chen, Y., Collicott, S.H.: A new design drop tower to study uncertainties in zero-gravity fluids experiments. In: 39th AIAA Aerospace SciencesMeeting and Exhibit, Reno, NV, AIAA-2001-0609 (2001)
Chen, Y., Collicott, S.H.: Investigation of the symmetric wetting behavior of vane-wall gaps in propellant tanks. AIAA J. 42(2), 305–314 (2004)
Chen, Y., Collicott, S.H.: Experimental study on the capillary flow in a vane-wall gap geometry. AIAA J. 43(11), 2395–2403 (2005)
Chen, Y., Collicott, S.H.: Study of wetting in an asymmetrical vane-wall gap in propellant tanks. AIAA J. 44(4), 859–867 (2006)
Chen, Y., Bacich, M.A., Nardin, C.L., Sitorus, A.T., Weislogel, M.M.: The shape and stability of wall-bound and wall-edge-bound drops and bubbles. Microgravity Sci. Technol. XVII-4, 14–24 (2005)
Chen, Y., Weislogel, M.M., Nardin, C.L.: Capillary-driven flows along rounded interior corners. J. Fluid Mech. 566, 235–271 (2006)
Chen, Y., Weislogel, M.M., Bolleddula, D.A.: Capillary flow in cylindrical containers with rounded interior corners. In: 45th AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, AIAA-2007-0745 (2007)
Chen, Y., Jenson, R.M., Weislogel, M.M., Collicott, S.H.: Capillary wetting analysis of the CFE-Vane gap geometry. In: 46th AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV, AIAA-2008-817 (2008)
Chernousko, F.L.: Introduction to the dynamics of a body containing a liquid under zero-gravity conditions. In: Moiseev, N.N. (ed.) Vychislitelnyi Tsentr Akad, pp. 69–97. Nauk SSSR, Moscow (1968) (partial translation from Russian for the authors by L. Slobozhanin)
Collicott, S.H., Weislogel, M.M.: Computing existence and stability capillary surfaces using surface evolver. AIAA J. 42(2), 289–295 (2004)
Collicott, S.H., Bayt, R.L., Courtney, S.D.: Ullage bubble stability in the gravity probe-b helium tank. In: 30th AIAA Joint Propulsion Conference, Indianapolis, IN, June 1994, AIAA paper number AIAA-94-3026 (1994)
Concus, P., Finn, R.: On the behavior of a capillary free surface in a wedge. In: Proceedings of the National Academy of Sciences, USA, vol. 63 (1969)
Finn, R.: Equilibrium capillary surfaces. In: A Series of Comprehensive Studies in Mathematics, vol. 284. Springer, New York (1986)
Jaekle, Jr., D.E.: Propellant management device conceptual design and analysis - vanes. In: 27th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Sacramento, CA, AIAA-91-2172 (1991)
Krautheim, M.S.: One-g fluid experiments of the Gravity Probe-B helium tank. In: 34th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA-96-0006 (1996)
Rollins, J.R., Grove, R.K., Jeakle, Jr., D.E.: Twenty-three years of surface tension propellant management system design, development, manufacture, test, and operation. In: AIAA 21st Joint Propulsion Conference, AIAA paper number AIAA-85-1199 (1985)
Smedley, G.: Containments for liquids at zero gravity. Microgravity Sci. Technol. III, 13–23 (1990a)
Smedley, G.: Preliminary drop-tower experiments on liquid-interface geometry in partially filled containers at zero-gravity. Exp. Fluids 8, 312–318 (1990b)
Stange, M., Dreyer, M., Rath, H.J.: Capillary driven flow in circular cylindrical tubes. Phys. Fluids 15, 2587–2601 (2003)
Tegart, J.: A Vane-type propellant management device. In: 33rd AIAA Joint Propulsion Conference, Seattle, WA, AIAA-97-3028 (1997)
Weislogel, M.M.: Capillary flow in an interior corner. Ph.D. thesis, Northwestern University (1996)
Weislogel, M.M., Lichter, S.: Capillary flow in an interior corner. J. Fluid Mech. 373, 349–378 (1998)
Weislogel, M.M., Ross, H.D.: Surface reorientation and settling in cylinders upon step reduction in gravity. Microgravity Sci. Technol. III(1), 24–32 (1990)
Weislogel, M.M., Collicott, S.H., Gotti, D., Bunnel, C., Kurta, C., Golliher, E.: The capillary flow experiment: handheld fluids experiments for the international space station. In: 42nd AIAA Aerospace Sciences Meeting, Reno, NV, AIAA-2004-1148 (2004)
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Collicott, S.H., Chen, Y. Studies of the Wetting of Gaps in Weightlessness. Microgravity Sci. Technol. 22, 487–498 (2010). https://doi.org/10.1007/s12217-010-9233-6
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DOI: https://doi.org/10.1007/s12217-010-9233-6