Theory and nonlinearity of thermoacoustics:Ⅱ. Nonlinear sound waves in thermoacoustic tubes

摘要

Nolilinarity in thermoacoustics mainly comes from asee-amplitude sound waves)which is necessary for the thermoacoustic phenomena. Exact solutions are found for sound waves in a tube, Mathematical tecniques are developed to solve the Riemann equations in cases unsuitable for conventional methods. The tube is characterized by its cross-sectional area and shape, which is reflected in the wave numer in the tube. Exact solutions for different tube configurations are found, includin thermacoustic stacks with temperature gradient. And composite tube containing sections of different characters is sloved, by using the continuity equations of volume velocity and pressure between sections.