Isothermal Flow of Polymeric Fluids in Helix Seals with a Longitudinal Circulation

Abstract

The nonisothermal flow of a viscous fluid in seals, which are two-turn screw conveyers with channels of varying depth, is examined. Expressions are derived for determination of pressure differentials and fluid flow rates in the deep and shallow channels of the seal, heating of the fluid, and the capacity required of the channels. In solving the problem, it was considered that the temperature of the fluid varies only along the channels, but its heat exchange with the surrounding medium takes place according to Newton’s law, and only through the housing of the seal. The temperature dependence of the viscosity of the product was taken into account by the Reynolds’ and hyperbolic laws.