FLOW AND STABILITY OF THREE-DIMENSIONAL ROTATING VISCOELASTIC JET

Authors

Daniel N. Riahi, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2024

Abstract

We consider rotationally driven nonlinear viscoelastic jet. In contrast to previous unrealistic planar studies with no gravity effect, we investigate here realistic three-dimensional jet with gravity effect. Using theoretical and computational methods, we develop models for such jet and its stability and determine the solutions. We find three-dimensional jet with gravity effect leads to faster and thinner jet. For jet arc length higher than its exit diameter, our calculation with typical parameter values shows that jet radius is smaller by a factor of more than 1.4 and jet speed is higher by factor of more than 2 as are compared to the exact planar jet counterpart results. Our linear stability of such jet uncovers new instability of the most critical three-dimensional spatiotemporal disturbance that grows in time very close to the three-dimensional jet exit but decays in space and can become stable for sufficiently far away from jet exit.

Comments

Copyright © Journal of Theoretical and Applied Mechanics

Published online under the CC BY open access license.

https://perma.cc/J4FZ-6GTC

Recommended Citation

Riahi, Daniel R. 2024. “FLOW AND STABILITY OF THREE-DIMENSIONAL ROTATING VISCOELASTIC JET.” Journal of Theoretical and Applied Mechanics 54 (1): 27–45. https://doi.org/10.55787/jtams.24.54.1.027

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

First Page

27

Last Page

45

Publication Title

Journal of Theoretical and Applied Mechanics

DOI

10.55787/jtams.24.54.1.027