Journal of Siberian Federal University. Mathematics & Physics / A Model of Averaged Molecular Viscosity for Turbulent Flow of Non-Newtonian Fluids

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
Authors
Gavrilov, Andrey A.; Rudyak, Valeriy Ya.
Contact information
Gavrilov, Andrey A.:Institute of Physics, SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036 Russia;; Rudyak, Valeriy Ya.:Novosibirsk State University of Architecture and Civil Engineering, Leningradskaya, 113, Novosibirsk, 630008 Russia;
Keywords
shear-thinning fluids; Reynolds averaging; turbulent flow models; finite volume method
Abstract

A novel turbulence model for flows of viscoplastic fluid is presented. It is based on the Reynolds-Averaged approach. A closed model for the averaged viscosity that takes into account its nonlinear dependence on the fluctuating rate of deformation tensor is proposed. Test calculations were performed for power-law fluid and Herschel–Bulkley fluid flows in a straight round pipe. Numerical data obtained with the use of the proposed model are compared with the results of direct numerical simulations. The proposed model adequately describes the reduction in the turbulent transport of momentum with decreasing power-law index and with increasing yield stress of the fluid

Pages
46–57
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/10136