Note on Heat Effects in Capillary Flow

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Abstract
Approximate mathematical solutions are given for the temperature distribution over the cross section of a capillary tube under two extreme conditions, (1) complete adiabatic flow, and (2) thermal equilibrium. By complete adiabatic flow is meant an ideal condition in which there is no heat conduction although sufficient time has elapsed since the beginning of flow to permit any particle of the fluid to travel the entire length of the tube. By thermal equilibrium is meant, in the present connection, a steady state in which the heat due to viscous resistance is conducted radially outward as fast as it is generated. In each case the mean temperature rise at efflux is calculated by integration. In the case of thermal equilibrium, formulas are also given for the decrease in apparent viscosity due to heat effects with increasing rate of flow.

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