Griffiths, P. T., Garrett, S. J. & Stephen, S. O. (2014) The neutral curve for stationary disturbances in rotating disk flow for power-law fluids.pdf (1.02 MB)
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The neutral curve for stationary disturbances in rotating disk flow for power-law fluids

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journal contribution
posted on 07.03.2016, 11:32 by P. T. Griffiths, Stephen John Garrett, S. O. Stephen
This paper is concerned with the convective instabilities associated with the boundary-layer flow due to a rotating disk. Shear-thinning fluids that adhere to the power-law relationship are considered. The neutral curves are computed using a sixth-order system of linear stability equations which include the effects of streamline curvature, Coriolis force and the non-Newtonian viscosity model. Akin to previous Newtonian studies it is found that the neutral curves have two critical values, these are associated with the type I upper-branch (cross-flow) and type II lower-branch (streamline curvature) modes. Our results indicate that an increase in shear-thinning has a stabilising effect on both the type I and II modes, in terms of the critical Reynolds number and growth rate. Favourable agreement is obtained between existing asymptotic predictions and the numerical results presented here.



Journal Of Non-Newtonian Fluid Mechanics, 2014, 213, pp. 73-81 (9)

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Journal Of Non-Newtonian Fluid Mechanics





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