Flow of a Nonlinearly Viscous Fluid over the Surface of a Rotating Flat Disk |
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Authors: | G. V. Ryabchuk A. G. Shchukina |
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Affiliation: | (1) School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200030, China |
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Abstract: | The flow of a nonlinearly viscous (power-law) fluid over the surface of a rotating flat disk is investigated. A solution form which makes it possible to reduce the complete system of partial differential equations to a system of ordinary differential equations is found. This system is integrated using the Runge-Kutta method and reduction to a Cauchy problem on the basis of Newton's method. The velocity and pressure fields in a power-law fluid film flowing over the surface of a rotating flat disk are found numerically. |
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Keywords: | thin-film flow nonlinearly viscous fluid centrifugal field |
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