Journal Article


Stability of the shear-thinning boundary-layer flow over a flat inclined plate

Abstract

In this study we consider the boundary-layer flow of an inelastic non-Newtonian fluid over an inclined flat plate. Using two popular generalised Newtonian models we determine base flow profiles and associated linear stability results for a range shear-thinning fluids. In addition to neutral stability curves we also present results concerning the linear growth of the Tollmien-Schlichting waves as they propagate downstream. Furthermore, to gain an insight into the underlying physical mechanisms affecting the destabilisation of the disturbances, an integral energy equation is derived and energy calculations are presented. Results from all three analyses suggest that the effect of shear-thinning will act to stabilise the boundary-layer flow. Consequently, it can be argued that the addition of shear-thinning agents could act as a passive control mechanism for flows of this nature.

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Authors

Griffiths, Paul T.

Oxford Brookes departments

Faculty of Technology, Design and Environment\Department of Mechanical Engineering and Mathematical Sciences

Dates

Year of publication: 2017
Date of RADAR deposit: 2017-09-18


Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License


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