When modelling the counter-gradient scalar transport phenomenon and its transition to the gradient one, as well as the peculiarities of the mean stress tensor in the turbulent flame describing, among other things, abnormally large for turbulent flow velocity fluctuations, we consider and develop the modified paradigm. This refers to the use of the two-fluid approach to the problem of turbulent premixed combustion in the flamelet regime. Only the conditional Reynolds stresses in the unburned and burned gases, as well as the mean chemical source, are needed to be described in our conditionally averaged mass and momentum equations. We propose an altered statistical-physical model of the one-step transformation of the unburned gas with the conditional mean parameters (barvec u u), (barp u u), into the burned gas with the parameters (barvec u b), (barp b), in order to avoid the requirement of modelling surface-averaged parameters appearing in the known in the literature conditionally averaged momentum equations. We offer a straightforward approach for separating the Favre ensemble averaged mass and momentum equations of the issue into two-fluid conditionally averaged equations, which allowed us to avoid the generalised functions that are frequently employed for the derivation of generalised functions.
Author(s) Details:
Vladimir L. Zimont,
CRS4 Research Center POLARIS, 09010 PULA (CA), Italy and Semenov Institute of Chemical Physics, Kosygina Street, 4, Moscow - 117977, Russia.
Please see the link here: https://stm.bookpi.org/RACMS-V3/article/view/8327
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