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Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids

Redmon, Jessica
http://rave.ohiolink.edu/etdc/view?acc_num=case15602738261697

Abstract Details

2019, Doctor of Philosophy, Case Western Reserve University, Applied Mathematics.
Conditions for bubble cavitation and behavior in non-Newtonian fluids have numerous applications in physical sciences, engineering and medicine. Non-Newtonian fluids are a rich, but relatively undeveloped area of fluid dynamics, with phenomena from di↵u- sion to bubble growth just beginning to receive attention. In the course of examining bubble cavitation, it became apparent that the random particle motion responsible for determining potential bubble formation had not been researched. As cavitation bub- bles collapse, they deform into a variety of non-spherical shapes. Due to the complex dynamics and the radial focus of current equations on bubble behavior, no accepted model has yet emerged. This work explores the behavior using numerical methods on both fluid and bubble models to examine this system from di↵erent prospectives, culminating in a time-fractional, power-law Burger’s type equation showing bubble formation under these conditions.
Wojbor Woyczynski (Advisor)
David Gurarie (Committee Member)
Longua Zhao (Committee Member)
114 p.
Applied Mathematics
Burgers equation; Finite Difference; Stochastic; Partial differential equations; Fluid Mechanics; Bubble

Recommended Citations

Citations

  • Redmon, J. (2019). Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case15602738261697

    APA Style (7th edition)

  • Redmon, Jessica. Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids. 2019. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case15602738261697.

    MLA Style (8th edition)

  • Redmon, Jessica. "Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids." Doctoral dissertation, Case Western Reserve University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case15602738261697

    Chicago Manual of Style (17th edition)

case15602738261697
455
© 2019, some rights reserved.Creative Commons License Stochastic Bubble Formation and Behavior in Non-Newtonian Fluids by Jessica Redmon is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.