Taylor scraping flow: Difference between revisions

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In [[fluid dynamics]], '''Taylor scraping flow''' is a type of two-dimensional [[corner flow]] whenoccurring fwhen one of the wall is sliding over the other with constant velocity, named after [[G. I. Taylor]]<ref>Taylor, G. I. "Similarity solutions of hydrodynamic problems." Aeronautics and Astronautics 4 (1960): 214.</ref><ref>Taylor, G. I. "On scraping viscous fluid from a plane surface." Miszellangen der Angewandten Mechanik (Festschrift Walter Tollmien) (1962): 313-315313–315.</ref><ref>Taylor, G. I. "Scientific Papers (edited by GK Bachelor)." (1958): 467.</ref>.
 
==Flow description==
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</math>
 
==Solution<ref>Acheson, David J. Elementary fluid dynamics. Oxford University Press, 1990.</ref><ref>Pozrikidis, Costas, and Joel H. Ferziger. "Introduction to theoretical and computational fluid dynamics." (1997): 72-7472–74.</ref>==
 
Attempting a [[Separation of variables|separable]] solution of the form <math>\psi =U r f(\theta)</math> reduces the problem to