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The dimensionless ratio of the mean free path to a reference length scale typically quantifies the extent to which the continuum assumption in fluid flow dynamics breaks down. However, ambiguity exists in the choice of an appropriate length scale and some researchers have suggested a local parameter, like the Knudsen number, for quantifying continuum breakdown. The authors review a few selected parameters and suggest a continuum breakdown parameter based on local entropy production rates. The selected parameter was chosen by observing and comparing alternatives and abstracting common elements and results. Results presented include laminar boundary flow and one–dimensional shock wave structure. Although both cases are well within the continuum description, they provide an ideal setting for comparison since both have semi–analytical solutions.

Continuum Breakdown Parameter Based on Entropy Generation Rates