Theoretical Investigation on End Correction Problems : Part IV, Transient Flow Analysis by Multi-mode Wave Equation

概要

論文の詳細を見る
The primary concern of this paper lies in providing an exact description to the transitional wave flow in the 'transient' end correction problem. For this purpose, attention is first paid to propagation of a transient 'non-plane' wave in a tube generated by a step change of its cross-section. The multi-mode wave equation is applied to the analysis together with the Laplace transformation, yielding series expansions by Bessel functions as solutions. After the transient properties of an indivisual higher-mode wave are made clear, some intriguing behaviors of the entire non-plane wave in a tube are also revealed. With a tube radius infinitely augmented, these results turn out useful for describing an expanding wave flow around an aperture in an infinite plane wall. Finally the pressure and velocities in the flow are determined in terms of definite functions through reduction of the infinite series.
一般社団法人日本機械学会の論文