Some physical and mathematical problems related to the aerodynamics and dynamics of a flat plate in a molecular flow are studied in this paper. The considered system is a stochastic one since the initial conditions and some of the identification parameters are assumed to be given as constant random variables. The stochastic equation of the dynamics of the system is deduced in this note, and will be mathematically studied and particularized in a pertinent application proposed in the second note.
Referenze Bibliografiche
[1] F. Hurlbut e F. Sherman (1968) - Application of the Nocilla wall reflection model to the free-molecule kinetic theory, «Phys, of Fluids», 2, 486.
[2] C. Cercignani e M. Lampis (1972) - Free-molecular flow past a flat plate in the presence of nontrivial gas-surface interaction. «J. Appl. Math. Phys.», ZAMP, 23, 713.
[3]
N. Bellomo (
1978) -
The fluid dynamics of rarefied molecular flow over convex bodies: a new theory and applications.
«J. App. Math. Phys.», ZAMP,
29, 112. |
Zbl 0413.76058[4]
C. Cercignani (
1975) -
Theory and Applications of the Boltzmann Equation,
Scottish Press, Edinburgh, London. |
MR 406273[5] H. Legge e G. Koppenwalner (1971) - Sphere drag measurements in a free jet and a hypersonic low density tunnel, in «Rarefied Gas Dynamics», ed. D. Dini, S. Nocilla e C. Cercignani, Ed. Tecnico Scientifica, Pisa, Vol. I, 481.
[6] P. Sharma e E. Knuth (1978) - Interaction of satellite-speed helium atoms with satellite surfaces, UCLA-ENG 7857 Report, University of California in Los Angeles.
[7] M. Kogan (1969) - Rarefied Gas Dynamics, Plenum, New York.
[8] H. Ashkenas e F. Sherman (1965) - The structure and utilization of supersonic free jets in low density tunnels, in «Rarefied Gas Dynamics», ed. J. de Leeuw, Academic Press, New York, Vol. II, 841.
[9]
N. Bellomo e
R. Monaco (
1979) -
On the mathematical formulation of the boundary conditions in kinetic theory: stochastic models for time-dependent conditions, in
«Rarefied Gas Dynamics», ed.
R. Campargue, CEA, Paris, Vol.
I, 53. |
MR 201128 |
Zbl 0406.34049[10]
R. Monaco -
On the theory of Drag calculation and profile optimization in shockless near free molecular flow,
«Acta Mechanica»,
29, 275 (
1978). |
Zbl 0386.76041
Con il contributo del Ministero per i Beni e le Attività Culturali