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Powder Impulsive Water Jetter

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Jet Cutting Technology

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 13))

Abstract

The paper deals with the Impulsive water jetter in which the water is ousted by the combustion products of the powder. Its mathematical model is built, the variational problem of the optimal control with the purpose of getting the maximum water jet pressure is solved. The controlling function here is the combustion surface area of the powder.

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Abbreviations

C1, C2, C3, C4, C5 :

Lagrange’s Indefinite multipliers

f:

cross-section area

I,J:

functionals

k:

adiabata Index of the gas

m:

mass

p:

pressure

Q:

calorific ability of the powder

S:

combustion surface area of the powder

t:

time

V:

volume

x:

co-ordinate of the gas-water boundary

σ:

variation

P:

densiti

b:

blast chamber

c:

charge

g:

gas

i:

Initial values

o:

outlet

p:

powder

s:

shot

w:

water

Reference

  1. Atanov, G.A., Interior ballistics of the Impulsive water Jet. Proc. 6th International Symposium on Water Jet Cutting Technology (1982, April, Gulford, England). H.S. Stephens and E.B. Davies, Editors, BHRA. England. Paper C5:141–159.

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  2. Atanov, G.A., The Impulsive Water Jet Device: A New Machine For Breaking Rock. International Journal of Water Jet Technology, 1991, 2, pp. 85–91.

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  3. Atanov, G.A. and Beshevli, B.I., About the motion of the impulsive water jetter Jet. In col. Aerodynamic of unstationary processes, Tomsk State University, Tomsk, 1987, pp. 3–8. (In Russian).

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  4. Patent FRG 2907759, 2/1979, IPC3 B05B 3/02.

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  5. Alexseev, V.M., Tichomirov, V. M. and Fomin, S.V., Optimal Control. Nauka, Moscow, 1979, p. 432 (In Russian).

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Author information

Authors and Affiliations

  1. Donetsk State University, Donetsk, 340015, Ukraine

    G. A. Atanov

Authors
  1. G. A. Atanov
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Editor information

Editors and Affiliations

  1. University of Nottingham, UK

    A. Lichtarowicz

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© 1992 Springer Science+Business Media Dordrecht

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Atanov, G.A. (1992). Powder Impulsive Water Jetter. In: Lichtarowicz, A. (eds) Jet Cutting Technology. Fluid Mechanics and Its Applications, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2678-6_19

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  • DOI: https://doi.org/10.1007/978-94-011-2678-6_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5185-9

  • Online ISBN: 978-94-011-2678-6

  • eBook Packages: Springer Book Archive

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