Abstract
In this paper the scattered field produced by a source inside a shear layer of arbitrary profile, flowing above an infinite, rigid wall, is examined. The shear layer is topped by a uniform flow. A representation of the solution is obtained in terms of a pair of functions that satisfy a homogeneous second-order ordinary differential equation, with variable coefficients. The asymptotic form of these functions is obtained in the high-frequency limit. The representation yields, in this limit, a pair of parametric equations whose solutions describe the formation of infinite families of caustics inside the shear layer and downstream of the source. This is in agreement with previous results found by employing ray-theory techniques. Applications are given to the linear profile. The advantages of the present method and its application to other physical problems are discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
