This paper describes the quest for invariant descriptors of the convec
tive process, and the new requirements those descriptors put on quanti
tative full-field thermal imaging. There is increasing need, in applic
ations, for heat transfer descriptors which can deal with non-uniform
thermal boundary conditions, including those induced by conjugate effe
cts. This paper discusses two approaches which have arisen within the
past 10 years:(1) the use of h(adiabatic) and T-adiabatic to describe
the convective process and more recently, (2) the emergence of discret
ized Green's functions for convection. Both of these approaches acknow
ledge the effects of upstream heat transfer on local behavior but both
do so using coefficients which; themselves, are invariant with respec
t to changes in the thermal boundary conditions. Thus measurements mad
e in the lab can be applied in the field, under different thermal boun
dary conditions. Both approaches can:be used in complex flow fields, s
uch as flows on surfaces with obstructions. To realize the full potent
ial of either approach, the uncertainties in full-field optical data a
cquistion techniques must be reduced by about a factor of 3. (C) 1998
Elsevier Science Inc. All rights reserved.