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The model is formulated as a non-linear, multidimensional population balance equation describing deterministic chemical reactions and temperature variations inside the fluid elements and stochastic mass and heat exchange processes between the fluid elements by their impacts.
Depending on the wall permeability the fluid elements penetrated to different depth resulting in enhanced mass and heat transfer rates.
Development of the model is based on the concept of diffusive mass and heat exchange interactions of the fluid elements identified as the Kolmogorov-scale eddies.
The mean age of the fluid elements is derived from the friction factor and the Reynolds number using the ERSR model.
The fluid elements age distributions, needed in the surface renewal model, were determined using the variable-interval time-averaging (VITA) method.
A qualitative picture of producing the fluid elements in the eddy space as Kolmogorov microscale eddies, interpreted as mesomixing of the three scale mixing model is outlined.
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Volume of the fluid element (m3).
As the strain rate was increased, chains did not deform with the fluid element.
Average diameter of the particles occurring in the fluid element (m).
Total volume of all the particles contained within the fluid element (m3).
The porosity e is defined as: e = 1 - frac{{V_{text{p}} }}{V}, (13 where V p is the total volume of all the particles contained within the fluid element and V the volume of the fluid element.
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CEO of Professional Science Editing for Scientists @ prosciediting.com