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Water hammer in hydraulic systems with an annular damper of plastic deformations

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Abstract

Results are presented on the theoretical and experimental study of the water-hammer process in a line with an annular plastic-deformation damper.

The one-shot annular plastic-deformation damper is intended to dissipate the hydraulic impact-pressure by dissipating the shock-wave energy in the plastic deformation of the inner damper wall as well as dissipating the effect of filling the damper cavity.

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Abbreviations

x:

linear coordinate

t:

time

v:

velocity of fluid motion in line

p:

fluid pressure

ρ:

fluid density

a :

shock-wave propagation velocity

R:

damper wall radius

δ:

wall thickness of line

l :

length of line segment

F:

cross-sectional area of the line

V:

volume of line segment

ϕ,ψ :

wave functions

σ:

circumferential stress in damper shell

ε:

relative circumferential deformation

ε:

relative deformation rate

E:

modulus of elasticity

ρd :

density of damper-wall material

0:

initial value

1:

line entrance

2:

line exit

f :

fluid

d:

damper

i=1, 2, 3,⋯:

interval number

References

  1. A. E. Zhmud, Water Hammer in Hydroturbine Installations [in Russian], Gostekhizdat, 1953.

  2. N. E. Zhukovskii, Water Hammer in Water Lines [in Russian], Izd-vo AN SSSR, 1949.

  3. A. I. Krylov, Lectures on Approximate Calculations [in Russian], Fizmatgiz, 1949.

  4. K. A. Rakhmatulin and O. I. Dem'yanov, Strength in Intense Transient Loading [in Russian], Fizmatgiz, 1961.

  5. A. I. Sinyukov and I. S. Mikheev, Mechanical Properties of Metals at Different Deformation Rates and Temperatures [in Russian], Oborongiz, 1958.

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Authors and Affiliations

  1. Dnepropetrovsk

    B. S. Drobyazko, G. I. Kontarev & V. A. Makhin

Authors
  1. B. S. Drobyazko
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  2. G. I. Kontarev
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  3. V. A. Makhin
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Drobyazko, B.S., Kontarev, G.I. & Makhin, V.A. Water hammer in hydraulic systems with an annular damper of plastic deformations. Fluid Dyn 3, 110–113 (1968). https://doi.org/10.1007/BF01013571

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  • DOI: https://doi.org/10.1007/BF01013571

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