Applied Mathematics and Mechanics

, Volume 16, Issue 9, pp 859–876 | Cite as

Actuation of sloshing modulated force and moment on liquid container driven by jitter accelerations associated with siew motion in microgravity

  • R. J. Hung
  • Y. T. Long
  • H. L. Pan
Article
  • 28 Downloads

Abstract

The mathematical formulation of sloshing dynamics for a partially liquid filled dewar container driven by the gravity jitter acceleration associated with slew motion is studied. Explicit mathematical expressions to manage jitter acceleration associated with slew motion which is acting on the fluid systems in microgravity are derived. The numerical computation of sloshing dynamics is based on the non-inertia frame container bound coordinate and the solution of time-dependent, three-dimensional formulations of partial differential equations subject to initial and boundary conditions The numerical computation of fluid viscous stress forces and moment fluctuations exerted on the dewar container driven by jitter acceleration associated with slew motion is investigated.

Key words

fluid mechanics sloshing dynamics liquid-vapor interface microgravity spacecraft force moment 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Y. Kamotani, A. Prasad, S. Ostrach, Thermal convection in an enclosure due to vibration abroad a spacecraft,AIAA Journal,19 (1981), 511–516.Google Scholar
  2. [2]
    R. J. Hung and K. L. Shyu, Cryogenic liquid hydrogen reorientation activated by high frequency impulsive reverse gravity acceleration of geyser initiation,Microgravity Quarterly,1, 2 (1991), 81–92.Google Scholar
  3. [3]
    R. J. Hung and K. L. Shyu, Space-based cryogenic liquid hydrogen reorientation activated by low frequency impulsive reverse gravity thruster of geyser initiation,Acta Astronautica,25 (1991), 709–719.CrossRefGoogle Scholar
  4. [4]
    R. J. Hung and K. L. Shyu, Constant reverse thrust activated reorientation of liquid hydrogen with geyser initiation,Journal of spacecraft and Rockets,29 (1992), 279–285.Google Scholar
  5. [5]
    R. J. Hung and K. L. Shyu, Excitation of slosh waves associated with low frequency impulsive reverse gravity acceleration of geyser initiation,Acta Astronautica,26 (1992), 425–433.CrossRefGoogle Scholar
  6. [6]
    R. J. Hung and K. L. Shyu, Medium frequency impulsive thrust activated liquid hydrogen reorientation with geyser,Journal of Propulsion and Power,8 (1992), 987–994.Google Scholar
  7. [7]
    R. J. Hung, C. C. Lee and F. W. Leslie, Response of gravity level fluctuations on the gravity probe-B spacecraft propellant system,Journal of Propulsion and Power,7 (1991), 556–564.CrossRefGoogle Scholar
  8. [8]
    R. J. Hung, C. C. Lee and F. W. Leslie, Spacecraft dynamical distribution of fluid stresses activated by gravity jitter induced slosh waves,Journal of Guidance, Control and Dynamics,15 (1992), 817–824.MATHCrossRefGoogle Scholar
  9. [9]
    R. J. Hung, C. C. Lee and F. W. Leslie, Similarity rules in gravity jitter-related spacecraft liquid propellant slosh waves excitation,Journal of fluids and Structures,6 (1992), 493–522.CrossRefGoogle Scholar
  10. [10]
    R. J. Hung, C. C. Lee and F. W. Leslie, Effect of the baffle on the spacecraft fluid propellant viscous stress and moment fluctuations,Transaction of the Japan Society for Aeronautical and Space Sciences,35 (1993), 187–207.Google Scholar
  11. [11]
    R. J. Hung, Y. D. Tsao, B. B. Hong, and F. W. Leslie, Dynamical behavior of surface tension on rotating fluids in low and microgravity environments,International Journal for Microgravity Research and Applications,11 (1989), 81–95.Google Scholar
  12. [12]
    R. J. Hung, Y. D. Tsao, B. B. Hong and F. W. Leslie, Axisymmetric bubble profiles in a slowly rotating helium dewar under low and microgravity environments,Acta Astronautica,19 (1989), 411–426.CrossRefGoogle Scholar
  13. [13]
    R. J. Hung, Y. D. Tsao, B. B. Hong, and F. W. Leslie, Bebble behaviors in a slowly rotating helium dewar in gravity probe-B spacecraft experiment,Journal of Spacecraft and Rockets,26 (1989), 169–172.Google Scholar
  14. [14]
    F. W. Leslie, Measurements of rotating bubble shapes in a low gravity environment,Journal of fluid Mechanics,161 (1985), 269–275.CrossRefGoogle Scholar
  15. [15]
    P. Mason, D. Collins, D. Petrac, L. Yang, F. Edeskuty, A. Schuch and K. Williamson, The behavior of superfluid helium in zero gravity,Proceedings 7th International Cryogenic Engineering Conferences, Surrey, England, Science and Technology Press (1978).Google Scholar
  16. [16]
    V. S. Avduyevsky (editor),Scientific foundations of Space Manufacturing, MIR Moscow, USSR (1984).Google Scholar
  17. [17]
    R. L. Forward, Flattening space-time near the earth,Physical Review, SeriesD, 26 (1982), 735–744.CrossRefGoogle Scholar
  18. [18]
    C. W. Misner, K. S. Thorne and J. A. Wheeler,Gravitation, W. H. Freeman Co., San Francisco, CA (1973), 1–1279.Google Scholar
  19. [19]
    R. J. Hung and C. C. Lee, Characteristics and behaviors of gravity probe-B spacecraft propulsion system,Proceeding National Science Council (A),16 (1992), 339–352.Google Scholar
  20. [20]
    S. Weinberg,Gravitation and Cosmology-Principles and Applications of General Relativity, John Wiley and Sons, New York (1972), 657.Google Scholar
  21. [21]
    R. J. Hung and F. W. Leslie, Bubble shapes in a liquid-filled rotating container under low gravity,Journal of Spacecraft and Rockets,25, (1988), 70–74.Google Scholar
  22. [22]
    R. J. Hung and H. L. Pan, Differences in gravity gradient and gravity jitter-excited slosh waves in microgravity,Transactions of the Japan Society for Aeronautical and Space Sciences,36 (1993), 153–169.Google Scholar
  23. [23]
    R. J. Hung and H. L. Pan, Asymmetric slosh wave excitation in liquidvapor interface under microgravity,Acta Mechanica Sinica,9, 4 (1993), 283–311.Google Scholar
  24. [24]
    F. H. Harlow and F. E. Welch, Numerical calculation of timedependent viscous incompressible flow of fluid with free surface,Physics of Fluids,8, (1965), 2128–2189.CrossRefGoogle Scholar
  25. [25]
    D. B. Spalding, A novel finite-difference formulation for differential expressions involving both first and second derivatives,International Journal of Numerical Methods in Enginnering,4 (1972), 251–559.CrossRefGoogle Scholar
  26. [26]
    S. V. Patanker and S. D. Spalding, A calculation procedure for heat, mass and momentum transter in three dimensional parabolic flows,International Journal of Heat Mass Transfer,15 (1972), 1787–1805.CrossRefGoogle Scholar
  27. [27]
    S. V. Patanker,Numerical Heat Transfer and Fluid Flow, Hemisphere. McGraw-Hill, New York, NY (1980), 197.Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1995

Authors and Affiliations

  • R. J. Hung
    • 1
  • Y. T. Long
    • 2
  • H. L. Pan
    • 3
  1. 1.The University of Alabama in HuntsvilleAlabamaUSA
  2. 2.Beijing University of Aeronautics and AstronicaBeijingP.R. China
  3. 3.Beijing Institute of Control EngineeringMinistry of Aerospace IndustryBeijingP.R. China

Personalised recommendations