Scale-Size Analysis of Heat and Mass Transfer Correlations

摘要

An approach based on two kinds of space- and timescales is used to determine bounds on the exponents of the Reynolds number and the Grashof number contained in the heat and mass transfer correlations for free and forced convective flows. Upper bounds are obtained for laminar flow and lower bounds for turbulent flow. The exponent of the Prandtl number is independent of the exponents of micro- and macroscales, so that no bounds can be determined through the two-scale dimensional analysis.