Dissipative Heating in a Rotational Viscometer with Coaxial Cylinders

Abstract

Rotational viscometers with coaxial cylinders are often used for measuring rheological behaviour. If the inner to outer cylinder diameter ratio does not differ significantly from 1, the curvature can be neglected and the flow reduces to the flow between moving and stationary plates. The power-law and Bingham models are often used for describing rheological behaviour. This paper deals with the temperature distribution obtained by solving the Fourier-Kirchhoff equation and in the case of  negligible inner  heat resistance it also covers temperature time dependence. The solution is illustrated by a numerical example.