This paper presents the behavior of pressure in an air–water shock tube. In this work, high-pressure air (at 100 bar) interacts with water (at 1 atm ∼ 1 bar) through an orifice in a 100 mm constant diameter tube. The experiments are repeated with three different orifice plate diameters of 4, 8, and 15 mm. The variation of pressure during the transient stage is recorded in these experiments and it is found that with increasing orifice diameter, the amplitude of the pressure increases linearly with time when all other conditions are unchanged. The same phenomenon is simulated using the ls-dyna® software using an arbitrary Lagrangian Eulerian (ALE) method to solve the problem numerically. Simulations are made with a range of orifice diameters. The experimental results confirm the validity of the simulations algorithm. The simulations also demonstrated that the pressure behaves linearly with orifice diameter only when orifice diameter is less than 15% of the tube diameter.
Issue Section:
Fluid-Structure Interaction
References
1.
Khawaja
, H. A.
, Kapaya
, J.
, and Moatamedi
, M.
, 2015
, Shock Tube; Detail Overview of Equipment and Instruments in the Shock Tube Experimental Setup
, Lambert Academic Publishing
, Saarbrücken, Germany
.2.
Ji
, H.
, Mustafa
, M.
, Khawaja
, H.
, Ewan
, B.
, and Moatamedi
, M.
, 2014
, “Design of Water Shock Tube for Testing Shell Materials
,” World J. Eng.
, 11
(1
), pp. 55
–60
.3.
Khawaja
, H. A.
, and Moatamedi
, M.
, 2013
, “Multiphysics Investigation of Composite Shell Structures Subjected to Water Shock Wave Impact in Petroleum Industry
,” Mater. Sci. Forum
, 767
, pp. 60
–67
.4.
Ewan
, B. C. R.
, and Moatamedi
, M.
, 2000
, “Design Aspects of Chemical Plant Exposed to Transient Pressure Loads
,” Chem. Eng. Res. Des.
, 78
(6
), pp. 866
–870
.5.
Otsuka
, M.
, Maehara
, H.
, Souli
, M.
, and Itoh
, S.
, 2007
, “Study on Development of Vessel for Shock Pressure Treatment for Food
,” Int. J. Multiphys.
, 1
(1
), pp. 69
–84
.6.
Khawaja
, H. A.
, Bertelsen
, T. A.
, Andreassen
, R.
, and Moatamedi
, M.
, 2014
, “Study of CRFP Shell Structures Under Dynamic Loading in Shock Tube Setup
,” J. Struct.
, 2014
, p. 487809
.7.
Liptak
, B. G.
, 1993
, Flow Measurement
, Chilton/CRC Press
, Radnor, PA
.8.
Washio
, S.
, Takahashi
, S.
, Yu
, Y.
, and Yamaguchi
, S.
, 1996
, “Study of Unsteady Orifice Flow Characteristics in Hydraulic Oil Lines
,” ASME J. Fluids Eng.
, 118
(4
), pp. 743
–748
.9.
Gerdyukov
, N.
, Krysanov
, Y. A.
, and Novikov
, S.
, 1986
, “Study of Pressure–Pulse Propagation in Tubes Filled With Water
,” ASME J. Appl. Mech. Tech. Phys.
, 27
(5
), pp. 715
–717
.10.
Khan
, M. U.
, Moatamedi
, M.
, Souli
, M.
, and Zeguer
, T.
, 2008
, “Multiphysics Out of Position Airbag Simulation
,” Int. J. Crashworthiness
, 13
(2
), pp. 159
–166
.11.
Souli
, M.
, and Benson
, D. J.
, 2010
, Arbitrary Lagrangian Eulerian and Fluid–Structure Interaction: Numerical Simulation
, Wiley
, Hoboken, NJ
.12.
Pericevic
, I. O.
, and Moatamedi
, M.
, 2007
, “Application of the Penalty Coupling Method for the Analysis of Blood Vessels
,” Eur. J. Comput. Mech.
, 16
(3–4
), pp. 537
–548
.13.
Boffi
, D.
, Gastaldi
, L.
, and Heltai
, L.
, 2007
, “On the CFL Condition for the Finite Element Immersed Boundary Method
,” Comput. Struct.
, 85
(11–14
), pp. 775
–783
.14.
Mie
, G.
, 1903
, “Zur Kinetischen Theorie der Einatomigen Körper
,” Ann. Phys.
, 316
(8
), pp. 657
–697
.15.
Marsh
, S. P.
, 1980
, LASL Shock Hugoniot Data
, University of California Press
, Berekely, CA
.16.
Shin
, Y. S.
, Lee
, M.
, Lam
, K. Y.
, and Yeo
, K. S.
, 1998
, “Modeling Mitigation Effects of Watershield on Shock Waves
,” Shock Vib.
, 5
(4
), pp. 225
–234
.17.
Souli
, M.
, Aquelet
, N.
, Al-Bahkali
, E.
, and Moatamedi
, M.
, 2013
, “A Mapping Method for Shock Waves Using ALE Formulation
,” Comput. Model. Eng. Sci.
, 91
(2
), pp. 119
–133
.18.
Barras
, G.
, Souli
, M.
, Aquelet
, N.
, and Couty
, N.
, 2012
, “Numerical Simulation of Underwater Explosions Using an ALE Method. The Pulsating Bubble Phenomena
,” Ocean Eng.
, 41
, pp. 53
–66
.19.
Souli
, M.
, and Gabrys
, J.
, 2013
, “A Coupling Method for Hydrodynamic Ram Analysis: Experimental and Numerical Investigation
,” ASME J. Pressure Vessel Technol.
, 136
(1
), p. 011301
.20.
Ozdemir
, Z.
, Souli
, M.
, and Fahjan
, Y. M.
, 2010
, “Application of Nonlinear Fluid–Structure Interaction Methods to Seismic Analysis of Anchored and Unanchored Tanks
,” Eng. Struct.
, 32
(2
), pp. 409
–423
.21.
Cheng
, W. L.
, Itoh
, S.
, Jen
, K. C.
, and Moatamedi
, M.
, 2007
, “A New Analytical Model for High-Velocity Impact of Thick Composites
,” Int. J. Crashworthiness
, 12
(1
), pp. 57
–65
.22.
Sun
, Z.
, Howard
, D.
, and Moatamedi
, M.
, 2005
, “Finite Element Analysis of Footwear and Ground Interaction
,” Strain
, 41
(3
), pp. 113
–117
.23.
Hallquist
, J. O.
, 2006
, LS-DYNA Theoretical Manual
, Livermore Software Technology
, Livermore, CA
.24.
Cohen
, S. D.
, and Hindmarsh
, A. C.
, 1996
, “CVODE, a Stiff/Nonstiff ODE Solver in C
,” Comput. Phys.
, 10
(2
), pp. 138
–143
.25.
Tijsseling
, A.
, 2007
, “Water Hammer With Fluid–Structure Interaction in Thick-Walled Pipes
,” Comput. Struct.
, 85
(11
), pp. 844
–851
.26.
Messahel
, R.
, Cohen
, B.
, Souli
, M.
, and Moatammedi
, M.
, 2011
, “Fluid–Structure Interaction for Water Hammers Effects in Petroleum and Nuclear Plants
,” Int. J. Multiphys.
, 5
(4
), pp. 377
–386
.27.
Messahel
, R.
, Cohen
, B.
, Moatamedi
, M.
, Boudlal
, A.
, Souli
, M.
, and Aquelet
, N.
, 2015
, “Numerical and Experimental Investigations of Water Hammers in Nuclear Industry
,” Int. J. Multiphys.
, 9
(1
), pp. 21
–36
.28.
Shu
, J.-J.
, 2003
, “Modelling Vaporous Cavitation on Fluid Transients
,” Int. J. Pressure Vessels Piping
, 80
(3
), pp. 187
–195
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