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Acta Mechanica

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20-03-2023 | Original Paper

Families of superposable planar exact solutions for skew-symmetric couple stress fluid flows

Author: Subin P. Joseph

Published in: Acta Mechanica | Issue 7/2023

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Abstract

Several types of new planar exact solutions are derived for skew-symmetric couple stress fluid flows. These solutions are obtained by assuming the stream function as a finite sum of constituent functions with different arguments. A large class of spatially periodic new exact solutions are constructed from the first family of solutions. The derived solutions are having complex two-dimensional vortex structures which generalizes the Taylor vortices. All the derived solutions are superposable in such a way that any finite linear combination of the solutions are again exact solutions. Exact solutions for Navier–Stokes equations of motion are also derived as a special case of these flows. Several explicit exact solutions are discussed and illustrated in the paper.

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Title: Families of superposable planar exact solutions for skew-symmetric couple stress fluid flows
Author: Subin P. Joseph
Publication date: 20-03-2023
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 7/2023
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-023-03528-z

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Families of superposable planar exact solutions for skew-symmetric couple stress fluid flows

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