Nonisothermal flow of anomalously viscous liquids in the channels of screw extruders

The nonisothermal flow of an anomalously viscous liquid in the channel of a screw extruder is analyzed with allowance for the influence of the side walls. A comparison with experimental data is given.Notation x, y, z, x_i, x_j Cartesian coordinates - H height of channel - W width of channel - L and S lengths of the screw and of the channel - pitch of the helical line - v₀ velocity of the upper plate; i, j=1, 2, 3 - w_x, w_y, w_z dimensionless velocities of the liquid - v_x, v_y, v_z, v_i, v_j true velocities of liquid particles - A₁ pressure gradient - Q bulk flow rate of the product - P pressure - T temperature - N power - _ij components of the stress tensor - I₂ second (quadratic) invariant of the tensor of deformation velocities - C and specific heat and thermal conductivity of the liquid - density of the liquid - ₁ and ₂ heat-exchange coefficients - C₀ and C₁ thermophysical constants - ₀, n,, T_H rheological constants - T₀ liquid temperature at the screw inlet - Re Reynolds number Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 5, pp. 877–883, November, 1978.