Scaling and the Dimensionless Parameters for Convective Heat Transfer

Scaling and the Dimensionless Parameters for Convective Heat Transfer 

Certain features of the thermal problem can be ascertained by means of nondimensional-ization alone. An appropriate characteristic velocity is Uoo- Furthermore, it is convenient to introduce a dimensionless (i.e., rescaled) temperature, 

u and E represent the dimensionless velocity and rate-of-strain fields, and 

The dimensionless Peclet number Pe provides a measure of the relative magnitude of the convection terms in (9=1) compared with conduction. It is sometimes useftd to note that 

It is clear from (9-7) and (9-8) that the form of the temperature distribution will depend on the geometry of the heated body (represented by S) and the magnitude of the Peclet number, Pe. In addition, because the form of the velocity field depends on the Reynolds number, that is, 

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