Thermally Coupled Reynolds Flows: The Poiseuille Component

Abstract

Equations from an earilier study of steady plane Couette flow are modified to apply to plane Poiseuille flow with dissipative heating, in a fluid where viscosity drops with rising temperature. Three characteristic fluid models are considered: power-law, exponential, and a two-line approximation. Numerical calculations show that all predict similar fluid behavior when the fluids are made to correspond as to fluidity φ, and dφ/dt at the maximum temperature in the channel or film.

The two-line model provides useful exact solutions, expressed in simple equations. Using this, the flow is shown to approach a condition where almost half the film is occupied by nearly rigid material, while viscous sliding is restricted to the remainder of the flow. In the asymptotic high-speed flow, pressure gradient along the flow drops with increased volume flow.

Presented at the 35th STLE/ASME Tribology Conference In Fort Lauderdale, Florida October 16–19, 1989

Notes

Presented at the 35th STLE/ASME Tribology Conference In Fort Lauderdale, Florida October 16–19, 1989