Abstract
We report the efficacy of the Least Square Residual (LSR) method in parameter estimation when more than one mode of heat transfer is encountered. A vertical flat plate, made of aluminium, to ensure that lumped formulation is valid, is allowed to cool in quiescent air. The novelty arises in coating the plate with a paint of known emissivity, in this case black board paint with e = 0.85 and using the experimentally obtained transient temperature history to develop an expression for convective Nusselt number. The same plate is then given a different coating of unknown emissivity, and using the just established relationship for convective Nusselt number, by a regular parameter estimation using LSR, the emissivity is calculated. The synergy arises by using known information on emissivity to estimate convection in the first case and the reverse to back calculate an unknown emissivity. The ubiquitous vertical flat plate, thus serves as a simple, inexpensive, yet a potent emissivity comparator
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