Taylor scraping flow: Difference between revisions

Revision as of 02:53, 7 November 2020

Revision as of 02:54, 7 November 2020

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==Scraping a power-law fluid==

Since scraping applications are important for [[Nonnon-Newtonian fluid]] (for example, scraping paint, nail polish, cream, butter, honey, etc.,), it is essential to consider this case. The analysis was carried out by J. Riedler and Wilhelm Schneider in 1983 and they were able to obtain [[self-similar solution]]s for [[power-law fluid]]s satisfying the relation for the [[apparent viscosity]]<ref>{{cite journal |last=Riedler, |first=J., & |last2=Schneider, |first2=W. (|year=1983). |title=Viscous flow in corner regions with a moving wall and leakage of fluid. |journal=Acta Mechanica, |volume=48( |issue=1-2), |pages=95-102 |doi=10.1007/BF01178500 }}</ref>

:<math>\mu = m_z\left\{4\left[\frac{\partial}{\partial r}\left(\frac{1}{r}\frac{\partial \psi}{\partial \theta}\right)\right]^2 + \left[\frac{1}{r^2} \frac{\partial^2\psi}{\partial \theta^2} - r \frac{\partial}{\partial r}\left(\frac{1}{r}\frac{\partial}{\partial r}\right)\right]^2\right\}^{(n-1)/2}</math>