Akademik Məlumat İdarəetmə Sistemi
Journal of Applied Mathematics and Mechanics, vol.55, no.3, pp.423-425, 1991 (Scopus)
The group properties /1/ of a system of equations describing flows in tubes of fluids the viscosity of which depends on the temperature are investigated for large Peclet numbers. It is shown that for exponential and power dependences there is an extension of the main group of transformations. For these cases, invariant solutions which have a physical meaning are considered. The equations describing the motion of a viscous fluid in a cylindrical tube may be written, in dimensionless from as follows for δ≪1, Pe≫1 /2/: ∂p ∂R = 0, ∂p ∂z = o ̊ Pe 1 R ∂ ∂R(μRu) ∂v ∂R+R ∂u ∂z=0, ∂2T ∂R2+ 1-v R ∂T ∂R = u ∂T ∂z. © 1992.