Analysis of the Influence of the Conduction Sub-Model Formulation on the Modeling of Laser-Induced Incandescence of Diesel Soot Aggregates

• Main Authors: Sébastien Menanteau, Romain Lemaire
• Format: Article
• Language: English
• Published: MDPI AG 2019-12-01
• Series: Entropy
• Subjects: laser-induced incandescence; modeling; conduction; soot aggregate; thermal accommodation coefficient
• Online Access: https://www.mdpi.com/1099-4300/22/1/21

Laser-induced incandescence (LII) is a powerful diagnostic technique allowing quantifying soot emissions in flames and at the exhaust of combustion systems. It can be advantageously coupled with modeling approaches to infer information on the physical properties of combustion-generated particles (including their size), which implies formulating and solving balance equations accounting for laser-excited soot heating and cooling processes. Properly estimating soot diameter by time-resolved LII (TiRe-LII), nevertheless, requires correctly evaluating the thermal accommodation coefficient <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>&#945;</mi> <mi>T</mi> </msub> </mrow> </semantics> </math> </inline-formula> driving the energy transferred by heat conduction between soot aggregates and their surroundings. To analyze such an aspect, an extensive set of LII signals has been acquired in a Diesel spray flame before being simulated using a refined model built upon expressions accounting for soot heating by absorption, annealing, and oxidation as well as cooling by radiation, sublimation, conduction, and thermionic emission. Within this framework, different conduction sub-models have been tested while a corrective factor allowing the particle aggregate properties to be taken into account has also been considered to simulate the so-called shielding effect. Using a fitting procedure coupling design of experiments and a genetic algorithm-based solver, the implemented model has been parameterized so as to obtain simulated data merging on a single curve with experimentally monitored ones. Eventually, values of the thermal accommodation coefficient have been estimated with each tested conduction sub-model while the influence of the aggregate size on the so-inferred <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>&#945;</mi> <mi>T</mi> </msub> </mrow> </semantics> </math> </inline-formula> has been analyzed.