Abstract
The fluid-structure interaction may occur in space launch vehicles, which would lead to bad performance of vehicles, damage equipments on vehicles, or even affect astronauts’ health. In this paper, analysis on dynamic behavior of liquid oxygen (LOX) feeding pipe system in a large scale launch vehicle is performed, with the effect of fluid-structure interaction (FSI) taken into consideration. The pipe system is simplified as a planar FSI model with Poisson coupling and junction coupling. Numerical tests on pipes between the tank and the pump are solved by the finite volume method. Results show that restrictions weaken the interaction between axial and lateral vibrations. The reasonable results regarding frequencies and modes indicate that the FSI affects substantially the dynamic analysis, and thus highlight the usefulness of the proposed model. This study would provide a reference to the pipe test, as well as facilitate further studies on oscillation suppression.
Similar content being viewed by others
Abbreviations
- A :
-
cross-sectional area
- E :
-
Young modulus of elasticity
- e :
-
pipe wall thickness
- I :
-
second moment of cross-sectional area
- K :
-
liquid bulk modulus
- L :
-
length
- M :
-
bending moment
- m :
-
mass
- P :
-
pressure (cross-sectional average)
- Q :
-
lateral shear force
- R :
-
(inner pipe) radius
- t :
-
time
- u :
-
pipe displacement
- \(\dot u\) :
-
pipe velocity
- V :
-
fluid velocity (cross-sectional average)
- x :
-
lateral coordinate (out-of-plane, vertical)
- y :
-
lateral coordinate (in-plane, horizontal)
- z :
-
axial coordinate (distance along pipe)
- Δ t :
-
time step (numerical grid length on t-axis)
- Δ z :
-
element length (numerical grid length on z-axis)
- \(\dot \theta\) :
-
rotational velocity of pipe
- ν :
-
Poisson ratio
- ρ :
-
mass density
- σ :
-
normal stress
- f:
-
fluid
- t:
-
pipe
- x :
-
lateral direction (out-of-plane, vertical)
- y :
-
lateral direction (in-plane, horizontal)
- z :
-
axial direction
- 0:
-
initial value
- n :
-
number of node
- *:
-
modified value
References
Oppenheim, B.W., Rubin, S.: Advanced pogo stability analysis for liquid rockets. Journal of Spacecraft and Rockets 30, 2048–2062 (1993)
Pilipenko, V.V.: Theoretical determination of amplitudes of longitudinal vibrations of liquid propellant launch vehicles. IAF-98-I.2.10 (1998)
Tijsseling, A.S., Vardy, A.E., Fan, D.: Fluid-structure interaction and cavitation in a single-elbow pipe system. Journal of Fluids and Structures 10, 395–420 (1996)
Vardy, A.E., Fan, D., Tijsseling, A.S.: Fluid/structure interaction in a T-piece pipe. Journal of Fluids and Structures 10, 763–786 (1996)
Skalak, R.: An extension of the theory of waterhammer. Transactions of the ASME 78, 105–116 (1956)
Wiggert, D.C., Otwell, R.S., Hatfield, F.J.: The effect of elbow restraint on pressure transients. ASME Journal of Fluids Engineering 107, 402–406 (1985)
Tijsseling, A.S.: Exact solution of linear hyperbolic four-equation system in axial liquid-pipe vibration. Journal of Fluids and Structures 18, 179–196 (2003)
Zhang, X., Huang, S., Wang, Y.: The FEM of fluid structure interaction in piping pressure transients. In: Proceedings of the First International Conference on Flow Interactio, Hong Kong, September, 1994. 532–535 (1994)
Zhang, L.T., Gay, M.: Immersed finite element method for fluid-structure interactions. Journal of Fluids and Structures 23, 839–857 (2007)
Giesecke, H.D.: Calculation of piping response to fluid transients including effects of fluid/structure interaction. In Transactions of SMiRT 6, Paris, France, August 1981, Paper B 4/4 (1981)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wei, X., Sun, B. Study on fluid-structure interaction in liquid oxygen feeding pipe systems using finite volume method. Acta Mech Sin 27, 706–712 (2011). https://doi.org/10.1007/s10409-011-0503-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-011-0503-3