Viscous heating in the cone-and-plate viscometer—III: Non-Newtonian fluids with temperature-dependent viscosity and thermal conductivity

✍ Scribed by Raffi M. Turian

• Publisher: Elsevier Science
• Year: 1965
• Tongue: English
• Weight: 792 KB
• Volume: 20
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(65)80064-1

✦ Synopsis

Analytical solutions are given for the velocity and temperature profiles in non-Newtonian fluids between two infinite parallel planes, one of which is moving fast enough that viscous dissipation heating effects are important. The temperature-and shear-dependence of the non-Newtonian viscosity is taken into account using empirical rheological models with temperature-dependent parameters. The power-law and Ellis models are used. For each model the solutions for two sets of boundary conditions are given: in the first set of boundary conditions both plates are maintained at the same temperature, and in the second set the stationary plate is maintained at a constant temperature while the heat flux through the moving plate is assumed to be zero. The results are then applied to the cone-and plate viscometer to obtain the deviations in the torque vs. angular speed relationships due to viscous heating.