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Mathematical Problems in Engineering
Volume 2014, Article ID 735926, 5 pages
http://dx.doi.org/10.1155/2014/735926
Research Article

Energy Loss in Pulse Detonation Engine due to Fuel Viscosity

1School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China
2State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116023, China
3Guangxi Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning, Guangxi 530004, China
4School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China

Received 7 April 2014; Accepted 5 May 2014; Published 29 May 2014

Academic Editor: Zhijun Zhang

Copyright © 2014 Weipeng Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Fluid viscosity is a significant factor resulting in the energy loss in most fluid dynamical systems. To analyze the energy loss in the pulse detonation engine (PDE) due to the viscosity of the fuel, the energy loss in the Burgers model excited by periodic impulses is investigated based on the generalized multisymplectic method in this paper. Firstly, the single detonation energy is simplified as an impulse; thus the complex detonation process is simplified. And then, the symmetry of the Burgers model excited by periodic impulses is studied in the generalized multisymplectic framework and the energy loss expression is obtained. Finally, the energy loss in the Burgers model is investigated numerically. The results in this paper can be used to explain the difference between the theoretical performance and the experimental performance of the PDE partly. In addition, the analytical approach of this paper can be extended to the analysis of the energy loss in other fluid dynamic systems due to the fluid viscosity.