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Scale effects in anomalous transport processes

Saczuk J.

Turbulence : international journal

2004

Vol. 10

123-130

Detailed knowledge of the structure-dependent physical mechanisms governing heat transport at the microscale is essential for assuring superior thermal performance of microelectronic devices. However, conventional transport theories cannot explain phenomena associated with the microscale flow. From this reason, the problem of developing a hydrodynamic theory of micro (fluidic) systems is a topical and still unsolved problem. Structural effects correlated with scale effects through macrosopic phenomena are incorporated into the structure-induced mesoscopic approach. The local internal structure of a condensed medium is used to define structure-dependent differential operators both at the macro- and mesolevel. The fundamental transport equations can then be derived and a relevant scale effect in the low-dimensional heat transport is presented.