Dynamical behaviours of the gas for given piston movements Online publication date: Thu, 21-Jan-2016
by Meiyan Gao; Manjun Ma; Changqing Tong; Xu Li
International Journal of Modelling, Identification and Control (IJMIC), Vol. 25, No. 1, 2016
Abstract: In this paper, we study the dynamical behaviours of the gas in a tube which is set into motion by a piston at one end in any spacetime path. All the analytic reasoning and calculations rely on the method of characteristics, the theory of asymptotic analysis and the theorem of implicit function. The obtained results are important in application, for example, the piston may be a blunt object moving into or removing out a gas in aerodynamics, the piston may represent the fluid on one side of a valve after it is opened, and the piston may denote a detonator in an explosion process.
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