Abstract
In this paper, an instability problem of an unsteady oscillation flow is studied. In particular, the phase function of the disturbance wave system is solved by using the characteristic theory of partial differential equation and an expansion of Orrsommerfeid eigenvalue problem, instead of using the disturbance model which is given previously. The flow considered is a combination of plane Poiseuille flow with a flow oscillating periodically and its instability is found for a special initial value of a developing wave due to continuous oscillating source.
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Communicated by Bian Yingui
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Famin, W., Lie, Z. & Xin, Y. Stability study of an unsteady oscillation flow. Appl Math Mech 17, 281–294 (1996). https://doi.org/10.1007/BF00193624
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DOI: https://doi.org/10.1007/BF00193624