American Association for Aerosol Research - Abstract Submission

AAAR 36th Annual Conference
October 16 - October 20, 2017
Raleigh Convention Center
Raleigh, North Carolina, USA

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Fractal Scaling of Soot Packing Density across Five Size Decades

PAI LIU, William Heinson, Rajan Chakrabarty, Washington University in St. Louis

     Abstract Number: 591
     Working Group: Aerosol Physics

Abstract
Fractal aggregates in nature grow with a scaling dimensionality less than the spatial dimension. This results in their packing density (θf, solid matter volume fraction) to decrease with increasing size Rg/a (aggregate radius of gyration normalized by average radius of monomers (repeating subunits)). Fundamental questions remain regarding the scaling laws and physical mechanisms controlling the evolution of θf, especially after the onset of gelation. In this work, we experimentally map the scaling of θf for soot aggregates across five orders of magnitude of Rg/a. The θf-Rg/a scaling relationship evolves through three successive regimes with distinct power-law exponents of -1.20±0.01, -0.58±0.06, and -1.31±0.14. The first cross-over agrees with the classical aerosol-to-gel transition theory. This agreement, however, breaks down at the second cross-over point, where a late-stage cluster-cluster aggregation of aerosol gels takes over.