The nonlinear interaction of two plane waves in a viscous medium

Abstract

Earlier studies [P.J. Westervelt, J. Acoust. Soc. Am. 29, 199-203, 934-935 (1957)] of the mutual nonlinear interaction of two plane waves of sound with each other are extended to include the viscous effect. The viscous effect is considered both from the equations of motion and the equation of state of the medium. An analytical solution to the lowest-order scattering process is obtained if the viscous effect of second order and higher can be neglected.