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Blast Quantification Using Hopkinson Pressure Bars

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Published on: July 5, 2016

Prediction of strong-shock structure using the bimodal distribution function.

Maxim A Solovchuk¹, Tony W H Sheu

¹Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, Taiwan 10617, Republic of China. solovchuk@gmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 17, 2011

Summary

A new fluid dynamics method accurately predicts one-dimensional shock waves at high Mach numbers. This shock wave model shows good agreement with experimental data and simulations for gases like argon.

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Area of Science:

Fluid Dynamics
Aerophysics
Computational Physics

Background:

Predicting shock wave behavior at high Mach numbers is crucial for aerospace and physics.
Existing theoretical models face limitations in accurately describing complex gas dynamics under extreme conditions.

Purpose of the Study:

To develop and validate a modified Mott-Smith method for predicting one-dimensional shock wave solutions.
To assess the accuracy of the new method across various gases and Mach numbers by comparing with experimental and simulation data.

Main Methods:

A modified Mott-Smith method was constructed using a system of fluid dynamics equations.
The method was applied to gases of Maxwell molecules, hard-sphere gases, and argon.
Predictions were compared against experimental data, Direct-Simulation Monte Carlo (DSMC) solutions, and existing theories for Mach numbers below 50.

Main Results:

The modified Mott-Smith method demonstrated good agreement in predicting density, temperature, and heat flux profiles.
Comparisons were made with experimental and DSMC solutions across a range of high Mach numbers.
The method's accuracy was validated for predicting shock profiles, including in the limit of infinite Mach number.

Conclusions:

The developed fluid dynamics approach provides a reliable method for predicting one-dimensional shock waves at very high Mach numbers.
The modified Mott-Smith method offers improved accuracy compared to existing theories for specific gas models and conditions.
This formalism enhances the understanding of shock wave phenomena in rarefied gas dynamics.