On the validity of the thermal explosion model in shock wave initiated nitromethane

1996 ◽  
Vol 21 (1) ◽  
pp. 19-23 ◽  
Author(s):  
Henri-Christian Pujols ◽  
Brigitte Pouligny
2005 ◽  
Vol 10 (3) ◽  
pp. 175-189 ◽  
Author(s):  
Jack J. Yoh ◽  
Matthew A. McClelland ◽  
Jon L. Maienschein ◽  
Jeffrey F. Wardell

2011 ◽  
Vol 110 (3) ◽  
pp. 1029-1036 ◽  
Author(s):  
Haiying Liu ◽  
Xinming Qian ◽  
Zhiming Du ◽  
Ping Huang ◽  
Zhenyi Liu

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2173
Author(s):  
Song-Yue Yu ◽  
Baoqiang Yan

In this paper, the thermal explosion model described by a nonlinear boundary value problem is studied. Firstly, we prove the comparison principle under nonlinear boundary conditions. Secondly, using the sub-super solution theorem, we prove the existence of a positive solution for the case K(x)>0, as well as the monotonicity of the maximal solution on parameter λ. Thirdly, the uniqueness of the solution for K(x)<0 is proved, as well as the monotonicity of the solutions on parameter λ. Finally, we obtain some new results for the existence of solutions, and the dependence on the λ for the case K(x) is sign-changing.


2004 ◽  
Vol 261-263 ◽  
pp. 423-428
Author(s):  
Zong De Liu ◽  
Kun Yang ◽  
Shu Lin Bai ◽  
Peng Duan

The high velocity spraying experiments for preparing WC-Co ceramic coatings were carried out by using an electro-thermal explosion directional spraying device. The transient parameters of both the discharge circuit and the voltage applied to the WC-Co sheet were measured. Velocity of the shock wave in the explosive spraying nozzle was approximately measured and that was described with a one-directional piston model. The velocity of molten particles of WC-Co ceramics was estimated to be about 3162m/s. The microstructures and micro-hardness of the WC-Co coating, the interface between the coating and substrate were analyzed in details. The visible WC grain diameter of the coating ranges from 70 to 350nm, and the average value is 195nm. A metallurgical bonding layer with a thickness of about 1 was found at the interface. The values of micro-hardness of the coating are 1-1.4 times of the original one, and the micro-hardness near the interface is much higher than that of the substrate


2007 ◽  
Vol 31 (2) ◽  
pp. 2353-2359 ◽  
Author(s):  
Jack Jai-ick Yoh ◽  
M.A. McClelland ◽  
J.L. Maienschein ◽  
C.M. Tarver

1995 ◽  
Vol 71 (2-3) ◽  
pp. 201-210 ◽  
Author(s):  
C.Y. Chan ◽  
P.C. Kong

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