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Study on fluid-structure interaction in liquid oxygen feeding pipe systems using finite volume method

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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.

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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

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Correspondence to Xin Wei.

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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

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  • DOI: https://doi.org/10.1007/s10409-011-0503-3

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