Abstract
In eigenvalue problems for the Orr-Sommerfeld equation with nonclassical boundary conditions (which differ from the adhesion conditions), the applicability of the Squire transformation is studied (this transformation enables one to reduce the three-dimensional picture of perturbations to the two-dimensional picture in the plane of the principal shear. Linearized equations are derived that generalize the Orr-Sommerfeld equations to tensor linear non-Newtonian media. It is shown that the Squire transformation algorithm is not applicable to stability problems for shear flows of these media.
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.
