ANALYTICAL SOLUTION OF BOUNDARY LAYER EQUATIONS FOR A NONLINEARLY VISCOUS DILATANT FLUID ON A FLAT PLATE IN THE CASE WITH MASS TRANSFER

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 power-law Ostwald–Reiner 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.