Stability and eigenvalue bounds of the flow of a dipolar fluid between two parallel plates-Reference-Cited by-同舟云学术

Stability and eigenvalue bounds of the flow of a dipolar fluid between two parallel plates

Published:2005-04-25 Issue:2057 Volume:461 Page:1401-1421
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Puri Pratap¹

Affiliation:

1. Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA

Abstract

In this article, we derive the Orr–Sommerfeld equation for the stability of parallel flows of a dipolar fluid. The classical results found by Squire, for viscous Newtonian fluids, are generalized to the case of dipolar fluids. A sufficient condition for stability is obtained for dipolar fluids and eigenvalue bounds for the Orr–Sommerfeld equation are found.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2004.1434

Reference42 articles.

1. Microcontinuum fluid mechanics—A review

2. Applications of microcontinuum fluid mechanics

3. Eigenvalue bounds for Orr-Sommerfeld equation ‘No backward wave’ theorem

4. Eigenvalue Bounds for the Orr-Sommerfeld Equation and Their Relevance to the Existence of Backward Wave Motion

5. Eigenvalue Bounds for the Orr—Sommerfeld Equation and their Relevance to the Existence of Backward Wave Motion—II

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