Unsteady flows of fluids with pressure dependent viscosity

Regularity in Sobolev Spaces of Steady Flows of Fluids with Shear-Dependent Viscosity

The system −divS(D(u)) + (u · ∇)u +∇π = f , divu = 0, is considered on a bounded three-dimensional domain under no–stick boundary value conditions, where S has p-structure for some p < 2 and D(u) is the symmetrized gradient of u. Various regularity results for the velocity u and the pressure π in fractional order Sobolev and Nikolskii spaces are obtained.

Viscous heating effects in fluids with temperature-dependent viscosity: triggering of secondary flows

Viscous heating can play an important role in the dynamics of fluids with strongly temperature-dependent viscosities because of the coupling between the energy and momentum equations. The heat generated by viscous friction produces a local temperature increase near the tube walls with a consequent decrease of the viscosity and a strong stratification in the viscosity profile. The problem of vis...

Viscous heating in fluids with temperature-dependent viscosity: implications for magma flows

Viscous heating plays an important role in the dynamics of fluids with strongly temperature-dependent viscosity because of the coupling between the energy and momentum equations. The heat generated by viscous friction produces a local temperature increase near the tube walls with a consequent decrease of the viscosity which may dramatically change the temperature and velocity profiles. These pr...

On Unsteady Flows of Implicitly Constituted Incompressible Fluids

Planar Unsteady Flows of Incompressible Heat Conducting Shear Thinning Fluids

It is evident that behaviour of many fluids varies with varying temperature. We present mathematical properties of unsteady planar flows of shear thinning incompressible fluids where the change of the temperature influences the viscosity, which is at the same time shear thinning (power law fluids with power law index r − 2 < 0). Contrary of [2] (where a threedimensional flow is studied for 9/5 ...