Abstract
A Stieltjes integral representation for the effective diffusivity of a passive scalar in time-dependent, incompressible flows is developed. The representation provides a summability formula for the perturbative expansion of the diffusivity in powers of the P\'eclet number. In particular, upper and lower bounds on the effective diffusivity are obtained from Pad\'e approximants of the series.
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.
