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Related Experiment Video

Updated: Jun 8, 2026

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Prediction of 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.

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

|September 28, 2010

Summary

This study presents a modified Mott-Smith method for predicting shock wave solutions. The new approach shows good agreement with experimental and simulation data for gas dynamics.

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Area of Science:

Fluid Dynamics
Kinetic Theory

Background:

Understanding shock wave structure is crucial in fluid dynamics.
Existing methods for shock wave prediction have limitations.

Purpose of the Study:

To present a modified Mott-Smith method for predicting one-dimensional shock wave solutions.
To study the steady-state structure of shock waves in gases.

Main Methods:

Utilized the Mott-Smith distribution function to construct moment equations.
Applied the modified method to gases of Maxwell molecules and argon.
Compared predictions with experimental data and Direct-Simulation Monte Carlo (DSMC) solutions for Mach numbers up to 11.

Main Results:

The modified Mott-Smith method accurately predicts density, temperature, and heat flux profiles.
Calculated shock thickness shows good agreement with experimental and DSMC data.
Excellent agreement for shock thickness was observed with DSMC at low Mach numbers.

Conclusions:

The modified Mott-Smith method provides a reliable approach for shock wave analysis.
The proposed formalism enhances the accuracy of shock wave structure prediction.
This method offers a valuable tool for gas dynamics research.