An approximate substitution principle for viscous heat conducting flows
Abstract
A new, approximate substitution principle is presented for a class of steady flows in which both heat transfer and momentum interchange by viscous stresses are significant. The principle, which has important implications for the design and scaling of mixing experiments, can be regarded as an extension of the Munk and Prim substitution principle (for steady isentropic flows) to nonisentropic flows (Munk and Prim, 1947). The concepts that are developed explain the scaling and distribution of various fluid dynamic properties observed in several different types of flow mixing experiments. Calculations are done to indicate the expected regimes of applicability of the approximate principle and comparison with experiment is made to show its utility in practical situations.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 September 1985
 DOI:
 10.1098/rspa.1985.0093
 Bibcode:
 1985RSPSA.401..163G
 Keywords:

 Approximation;
 Computational Fluid Dynamics;
 Conductive Heat Transfer;
 Steady Flow;
 Viscous Flow;
 Free Flow;
 Momentum Transfer;
 Multiphase Flow;
 Nozzle Flow;
 Shear Layers;
 Substitutes;
 Fluid Mechanics and Heat Transfer