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Journal of Engineering Mathematics
Published in:

01-08-2023

Spatiotemporal linear stability of viscoelastic subdiffusive channel flows: a fractional calculus framework

Authors: Tanisha Chauhan, Diksha Bansal, Sarthok Sircar

Published in: Journal of Engineering Mathematics | Issue 1/2023

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Abstract

The article delves into the spatiotemporal linear stability of viscoelastic subdiffusive channel flows, leveraging a fractional calculus framework. It examines the critical conditions for instability and the linear spatiotemporal response of the flow at critical material parameters. The study differentiates itself by analyzing the stability of two specific cases of monomer diffusion in Rouse chain melts and Zimm chain solutions. The authors also highlight the relationship between the subdiffusive power-law timescale and the fractional order of the time derivative in the continuum. The work is validated through comparisons with classical Oldroyd-B fluid stability analyses, revealing novel insights into the flow dynamics of viscoelastic subdiffusive fluids.
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Appendix
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Metadata
Title
Spatiotemporal linear stability of viscoelastic subdiffusive channel flows: a fractional calculus framework
Authors
Tanisha Chauhan
Diksha Bansal
Sarthok Sircar
Publication date
01-08-2023
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2023
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-023-10282-7

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