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.
Highlights
Improving the efficiency of the pulse detonation engine (PDE) is an everlasting objective for the researchers in the associated fields
The purpose of this paper is to investigate the energy loss due to the viscosity of the fuel; the effect of the chemical reactions among the components of the fuel can be represented by a series of periodic impulses
Energy loss in PDE due to the viscosity of the fuel is an important factor that affects the efficiency of PDE
Summary
Improving the efficiency of the pulse detonation engine (PDE) is an everlasting objective for the researchers in the associated fields. In the current research findings, the effects on the efficiency of the PDE from the structure parameters of PDE, the mass fraction of the fuels, and the frequency of the detonation have been reported. Radulescu and Hanson [3] presented a study to address the influence of convective heat losses on the flow field and performance of PDE, considering various working conditions; Tangirala and Dean [4] proposed a performance estimation model for the PDE with exit nozzle; Glaser [5] studied the effect on the efficiency of the PDE from the structure parameters of PDE in laboratory; and Brophy and Hanson [6] investigated the fuel distribution effects on pulse detonation engine operation and performance. Yan and colleagues [7,8,9,10] studied the fuel filled length, the frequency of the detonation, and the structure parameters of PDE effects on the performance of the PDE
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