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From: Energy and Momentum Transfer in Air Shocks

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1 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: Normalized wave energy/area and momentum/area for a isolated right-ward moving planar wave with an initial peak pressure p0 in air and a prescribed velocity distribution

2 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: Ratio of kinetic energy/area at t=0 to total wave energy/area as a function of initial peak pressure for a wave with a prescribed initial velocity distribution

3 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: Ratio of momentum/area transmitted to a plate to the momentum/area of the incident wave in terms of the generalized Taylor FSI parameter β in Eq. and the two dimensionless parameters characterizing the wave. The values ΔE0/I0catm=1 and 1.1 correspond to a wave released with w=0.05 m with p0/patm=16 and 127, respectively, at three distances from the plate (d=0.4 m, 0.7 m and 1.2 m.

4 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: Configuration and notation for simulations releasing compressed air layer at t=0 with no standoff distance to plate. (a) No backing to compressed layer. (b) Rigid backing to compressed layer.

5 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: An example for the case of the compressed layer with rigid backing and a plate with zero standoff distance. The evolution of the several components of the energy of the system with time is plotted until the time when the plate acquires its maximum velocity. The energy/area ΔE in the air to the left and right of the plate is the sum of the kinetic energy and the excess internal energy as defined in Eq. . As noted from the top curve, the numerical method conserves energy to a high degree of accuracy. In this example, value for mp is equivalent to a 1 cm thick steel plate; the maximum velocity attained by the plate is 120 m/s.

6 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: Configuration for simulations of energy transferred to plate with standoff d. The compressed air layer has rigid backing.

7 From: Energy and Momentum Transfer in Air Shocks
Date of download: 12/17/2017 Copyright © ASME. All rights reserved. From: Energy and Momentum Transfer in Air Shocks J. Appl. Mech. 2009;76(5): doi: / Figure Legend: The maximum kinetic energy/area transmitted to plate as a function of the standoff distance between the plate and the compressed air layer plotted for a specific set of dimensionless parameters. For reference, a set of dimensional parameters that corresponds to these results is: hatm=0.33 m, h=0.012 m, ΔE0=0.24 MJ/m2, mp=40 kg/m2, m0=0.4 kg/m2 and p0=10.5 MPa. The limit for large standoff is discussed in the text.


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