In this work, we introduce a notion of dissipative weak solution for system describing the evolution heat-conducting incompressible non-Newtonian fluid. This concept is based on balance entropy instead energy and has advantage that it admits weak–strong uniqueness principle, justifying proposed formulation. We provide proof existence solutions finite element approximations, thus obtaining first...

This paper deals with a mathematical modeling of flow stability Newtonian and non-Newtonian fluids in the gap between two concentric cylinders, one which rotates. A typical feature is formation vortex flow, so-called Taylor vortices. Vortex structures are affected by speed rotating cylinder physical properties fluids, i.e., viscosity density. Analogy terms assumed for magnetorheological fluids....