Taylor scraping flow: Difference between revisions

Revision as of 16:22, 25 September 2018

Revision as of 16:24, 25 September 2018

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==Scraping a power-law fluid==

Since scraping applications are important for [[Non-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>Riedler, J., & Schneider, W. (1983). Viscous flow in corner regions with a moving wall and leakage of fluid. Acta Mechanica, 48(1-2), 95-102.</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>