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The thermal Peclet number (Pet) is a measure of the relative importance of advective to conductive heat transport .
Pet = (vl)/k
where 'v' is the velocity at which the material is moving, 'l' a length scale and 'k' (kappa) the thermal diffusivity.
In simpler words,
Pet >>1 implies : advection dominates
Pet <<1 implies : conduction dominates.
[thermal diffusivity : can be thought of thermal inertia, a higher value means rapid movement/flow of heat through substance relative to its volumetric heat capacity or 'thermal bulk' is possible, therefore, when k is large, conduction dominates ]
[advection : transportation of some qty via bulk flow of a fluid medium]
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