Kinetic theory of piston problem and thermal disturbance by the ellipsoidal statistical model
Abstract
The formation of shock waves by a moving piston and the thermal disturbance of a fixed wall by sudden temperature change are studied according to the kinetic theory of gases. The ellipsoidal statistical model which gives the correct Prandtl number for a monatomic gas is solved numerically. The perturbation method proposed by Chu is applied. Velocity, density, temperature, and pressure distributions are calculated at each time step for various piston speeds for the piston problem. A comparison between the BhatnagerGrossKrook model solution and the ellipsoidal statistical model solution is made. The thermal disturbances of velocity, density, and temperature are calculated at each time step for various wall temperatures. A comparison between the KovitzHellman solutions and the ellipsoidal model is made.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT........56C
 Keywords:

 Kinetic Theory;
 Piston Theory;
 Statistical Analysis;
 Thermal Shock;
 Pressure Distribution;
 Shock Waves;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer