Low Mach number analysis of idealized thermoacoustic engines with numerical solution.

Autor: Hireche, Omar, Weisman, Catherine, Baltean-Carlès, Diana, Quéré, Patrick Le, Bauwens, Luc
Předmět:
Zdroj: Journal of the Acoustical Society of America; Dec2010, Vol. 128 Issue 6, p3438-3448, 11p, 2 Diagrams, 7 Graphs
Abstrakt: A model of an idealized thermoacoustic engine is formulated, coupling nonlinear flow and heat exchange in the heat exchangers and stack with a simple linear acoustic model of the resonator and load. Correct coupling results in an asymptotically consistent global model, in the small Mach number approximation. A well-resolved numerical solution is obtained for two-dimensional heat exchangers and stack. The model assumes that the heat exchangers and stack are shorter than the overall length by a factor of the order of a representative Mach number. The model is well-suited for simulation of the entire startup process, whereby as a result of some excitation, an initially specified temperature profile in the stack evolves toward a near-steady profile, eventually reaching stationary operation. A validation analysis is presented, together with results showing the early amplitude growth and approach of a stationary regime. Two types of initial excitation are used: Random noise and a small periodic wave. The set of assumptions made leads to a heat-exchanger section that acts as a source of volume but is transparent to pressure and to a local heat-exchanger model characterized by a dynamically incompressible flow to which a locally spatially uniform acoustic pressure fluctuation is superimposed. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index