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Title of Journal: Sci China Phys Mech Astron

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Abbravation: Science China Physics, Mechanics and Astronomy

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SP Science China Press

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DOI

10.1007/s00127-011-0396-2

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1862-2844

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Effects of viscosity on shockinduced damping of a

Authors: XiaoJuan Ma FuSheng Liu FuQian Jing
Publish Date: 2010/05/08
Volume: 53, Issue: 5, Pages: 802-806
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Abstract

A lack of reliable data treatment method has been for several decades the bottleneck of viscosity measurement by disturbance amplitude damping method of shock waves In this work the finite difference method is firstly applied to obtain the numerical solutions for disturbance amplitude damping behavior of sinusoidal shock front in inviscid and viscous flow When water shocked to 15 GPa is taken as an example the main results are as follows 1 For inviscid and lower viscous flows the numerical method gives results in good agreement with the analytic solutions under the condition of small disturbance a 0/λ=002 2 For the flow of viscosity beyond 200 Pa s η = κ the analytic solution is found to overestimate obviously the effects of viscosity It is attributed to the unreal preconditions of analytic solution by Miller and Ahrens 3 The present numerical method provides an effective tool with more confidence to overcome the bottleneck of data treatment when the effects of higher viscosity in experiments of Sakharov and flyer impact are expected to be analyzed because it can in principle simulate the development of shock waves in flows with larger disturbance amplitude higher viscosity and complicated initial flow


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