The breadth of transition of the modified Carreau equation - its influencein steady viscometric flow

The shear flow in a tube and a slit at a fully developed flow and temperatu re distribution for a non-linear viscous medium has been analysed of which the constitutive equation is described by a generalized Carreau model. The influence of of the transition parameter a on shear rate, velocity and temp erature profile has been investigated. First, it is essential to find a sol ution to determine the reduced momentum and the energy balance with suitabl e inequalities in the form of intervals in which the solution must be conta ined. The intervals are sharply limited, in general that means that they ca nnot be improved, Within these limits, the solutions show a very different rheological behaviour depending on the quantity of a dimesionless flow rate Q.