Analytical Solution of Boundary Layer Equations for a Nonlinearly Viscous Dilatant Fluid on a Flat Plate in the Case with Mass Transfer
A. N. Popkov
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: non-Newtonian fluid, boundary layer, particular analytical solution
Abstract
An analytical (exact) solution of equations of a two-dimensional boundary layer of a non-Newtonian viscous fluid in the case with mass transfer is obtained with the use of the Ostwald-Reiner power-law model in a particular case with n = 2 (dilatant fluid). It is noted that the apparent viscosity in this case is described by an expression that coincides with the equation for turbulent viscosity of a Newtonian fluid derived by the Prandtl mixing length model. For the particular case under consideration, it is found that there is an analogy between the flows of a non-Newtonian fluid and a Newtonian fluid with turbulent viscosity.
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