Accession Number:

ADA461810

Title:

The Stochastic Piston Problem

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

2004-08-09

Pagination or Media Count:

11.0

Abstract:

We obtain analytical solutions for the perturbed shock paths induced by time-varying random motions of a piston moving inside an adiabatic tube of constant area. The variance of the shock location grows quadratically with time for early times and switches to linear growth for longer times. The analytical results are confirmed by stochastic numerical simulations, and deviations for large random piston motions are established.

Subject Categories:

  • Reciprocating and Rotating Engines

Distribution Statement:

APPROVED FOR PUBLIC RELEASE