Describing Temperature Increases in Plasmon-Resonant Nanoparticle Systems
Michael P. Hoepfner, Chemical Engineering, University of Utah, Salt Lake City, UT 84112 and D. Keith Roper, Chemical Engineering, University of Utah, 50 So. Central Campus Dr., 3290 MEB, Salt Lake City, UT 84112

Plasmon-resonant nanoparticles are being integrated into a variety of actuators and sensors due to their extraordinary optical capabilities. We show a continuum energy balance accurately describes thermal dynamics and equilibrium temperatures in plasmon-resonant nanoparticle systems. Analysis of 18 data sets in which temperature increased ≤10.6 ºC yielded a mean value of R2 >0.99. The largest single relative temperature error was 1.11 %. A characteristic temperature was introduced into a linear driving force approximation for radiative heat transfer in the continuum energy description to simplify parameter estimation. The maximum percent error of the linearized description rose to 1.5 % for the 18 sets. Comparing the two descriptions at simulated temperature increases up to 76.6 ºC gave maximum relative errors ≤7.16 %. These results indicate the energy balance and its linearized approximation are applicable to characterize dynamic and equilibrium temperatures for sensors and actuators in microfluidic and lab-on-chip systems over a broad range of heat-transfer lengths, power inputs and corresponding temperature increases.

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Modeling and Scaleup of Nanoparticle Processing

The Preliminary Program for 2007 Annual Meeting