Analytical Solution for Generating a Wave from a Wall with Changing Temperature. Issue 5 (October 2013)

• Record Type: Journal Article
• Authors: Takahashi, S.; Sakurai, A.
• Is Part Of: International journal of aeroacoustics. Volume 12:Issue 5/6(2013)
• Page Start: 551
• Page End: 556
• Publication Date: 2013-10
• Subjects: Kinetic theory -- Boltzmann-BGK equation -- wave generation -- analytical solution; Aerodynamic noise -- Periodicals; Acoustical engineering -- Periodicals; Sound -- Periodicals; 629.1323
• DOI: 10.1260/1475-472X.12.5-6.551
• Languages: English
• ISSNs: 2048-4003

Abstract

We consider the problem of wave generation from a wall with changing temperature to analytically solve the linear Boltzmann-BGK equation with diffuse reflection at a wall by successive approximation and to provide a foundation for the numerical approach. Convergence is verified, and approximate solutions used in its proof are utilized to demonstrate its wave-like features observed in the numerical solution.