Abstract
Although some mathematical bounds for the second normal stress in rectilinear rheological flows in semi‐infinite geometries have been demonstrated, and some closer estimates made by numerical simulation, the bound predictions and numerical estimates obtained in the present study are for more practical finite slotted ducts. Using a finite‐difference technique (previously shown for Newtonian flows in noncircular ducts) we simulate the steady velocity field due to a longitudinal pressure gradient and predict an average transverse pressure difference that must exist for an approximately second‐order fluid. This presumably measurable quantity is proportional to the second normal stress difference and thus offers a method to measure this rheological property, but it is likely to be very small. The numerical method can be extended to oscillatory linearly viscoelastic flows.
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.
