Temperature Development in Pure Drag Flow, Exact Analytical Solution

ABSTRACT: Analytical solutions are presented for the developing temperature profile of a power law fluid in pure drag flow. Three sets of boundary conditions are considered: (1) Isothermal boundary conditions at both screw and barrel (2) Arbitrary heat transfer at the screw and isothermal barrel (3) Adiabatic screw and arbitrary heat transfer at the barrel The solutions are presented at various values of the Brinkman number and the Biot mod-ulus. Criteria are established for each set of boundary conditions from which the thermal development length can be determined. This length is primarily dependent on the Peclet number