A closed macroscopic equation for the motion of the two-dimensional adiabatic piston is derived from standard hydrodynamics. It predicts a damped oscillatory motion of the piston towards a final rest position, which depends on the initial state. In the limit of large piston mass, the solution of this equation is in quantitative agreement with the results obtained from both hard disk molecular d...

It was decided at SLAC to use removable liners mechanically mounted to the chamber walls and the piston. This would allow faster replacement of the pre-fabricated units, should the Scotchlite be damaged, without the need to chisel the remains of the material from chamber walls. The problems of eddy current heating of the piston further required that the piston liner be an insulator. It seemed n...

We study a heavy piston that separates finitely many ideal gas particles moving inside a one-dimensional gas chamber. Using averaging techniques, we prove precise rates of convergence of the actual motions of the piston to its averaged behavior. The convergence is uniform over all initial conditions in a compact set. The results extend earlier work by Sinai and Neishtadt, who determined that th...

In optimal trajectory control, one formulates an optimization problem in which one is interested in minimizing a certain criteria like, say, energy used per unit distance travelled subject to various constraints like say walking speed, no foot scuffing, respecting actuator bounds and so forth. The optimal trajectory problem is then cast into a parameter optimization by, e.g., finding control to...

An opposed hydraulic free piston engine is under design at the Tianjin University in China because of the advantages of this engine compared to the conventional engine. The main challenges presented by such engines are the control of the piston motion and synchronization. This study investigates the fundamental control context and control method of the opposed hydraulic free piston engine using...

In this paper, a fault management system for a hydraulic servo axis is described. This system is capable of sustaining faults in the piston displacement sensor of the position-controlled hydraulic servo axis. By means of a parity equation based fault detection stage, faults in the displacement sensor as well as other sensors and components of the servo axis can be detected and subsequently be d...

The piston performance affects the performance of the Motorcycle. In order to forecast the piston performance effectively, the performance forecast model based on BP neural network is presented. According to the characteristics of piston performance, the training samples are made up of the orthogonal experimental data, which are utilized to ensure higher generalization of BP neural network. And...

The velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time. Four cases of different inlet volume flow rates are considered in th...

A novel application of electrowetting devices has been simulated: wavefront correction using an array of electrowetting lenses and prisms. Five waves of distortion can be corrected with Strehl ratios of 0.9 or higher, utilizing piston, tip-tilt, and curvature corrections from arrays of 19 elements and fill factors as low as 40%. Effective control of piston can be achieved by placing the liquid ...

We study the dynamics of three particles in a finite interval, in which two light particles are separated by a heavy "piston," with elastic collisions between particles but inelastic collisions between the light particles and the interval ends. A symmetry breaking occurs in which the piston migrates near one end of the interval and performs small-amplitude periodic oscillations on a logarithmic...