Abstract
This paper examines the conditions under which Squire's Theorem on the stability of parallel flows is valid for Rivlin-Ericksen fluids. Although the theorem is not applicable in general, it is valid for a non-trivial class of viscoelastic fluids, for which a physical interpretation is given. Those slightly viscoelastic fluids which do not belong to this class are found to satisfy a modified form of Squire's Theorem. It is shown that the effects of viscoelasticity on in-plane and out-of-plane disturbances may be quite different: one may lead to stabilization and the other to destabilization. A method of solution which has been used for in-plane analyses may also be applied to three-dimensional analyses.
Sign-in/Register to access full text options 
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.
