A consistent dimensional analysis of gas–liquid mass transfer in an aerated stirred tank containing purely viscous fluids with shear-thinning properties

Abstract

Delaplace. A consistent dimensional analysis of gas-liquid mass transfer in an aerated stirred tank containing purely viscous fluids with shear-thinning properties. Chemical Engineering Journal, Elsevier, 2012Elsevier, , vol. 184, pp.42-56. <10.1016Elsevier, /j.cej.2011 a b s t r a c tThis paper deals with gas-liquid mass transfer in an aerated stirred tank containing Newtonian or shearthinning fluids. The aim is to demonstrate that, for a given mixing system, an unique dimensionless correlation gathering all the mass transfer rates (150 k l a measurements) can be obtained if and only if the variability of the rheological material parameters is correctly considered when implementing the theory of similarity. More particularly, it is clearly illustrated that a too gross simplification in the relevant list of the parameters characterizing the dependence of apparent viscosity with shear rates leads to pitfalls when building the -space set. This is then a striking example showing that a robust predictive correlation can be established when the non-constancy of fluid physical properties ceases to be neglected.

A dimensional analysis approach for modelling the size of droplets formed by bi-fluid atomisation

“…In order to address this phenomenological complexity, a semiempirical modelling approach by DA seems appropriate, as DA is an interesting process engineering tool that has recently showed efficiency in modelling food processes involving numerous process parameters Hassan et al, 2012;Petit et al, 2013). Also, the suitability of DA for modelling liquid atomisation by mono-and bi-fluid nozzles was demonstrated by the pioneer work of Mandato et al (2012).…”

Behavior of several pseudomonas putida strains growth under different agitation and oxygen supply conditions

“…The oxygen mass balance in the liquid phase, assuming well‐mixed culture, can be established by: …”

“…The oxygen mass balance in the liquid phase, assuming well-mixed culture, can be established by [1][2][3] :…”

“…The dissolved oxygen into the broth is an essential substrate for microbial growth, production and culture maintenance. Therefore, the oxygen supply to the culture is a very important variable affecting the performance and scale‐up of bioprocesses …”

“…Therefore, the oxygen supply to the culture is a very important variable affecting the performance and scale-up of bioprocesses. [1][2][3] In a stirred tank bioreactor (STBR), the airflow rate and the agitation are the main variables affecting fluid dynamic conditions, and they have a decisive importance in the growth rate of cells and in product distribution, even in the controlling step of the overall bioprocess rate culture. [3][4][5] Many studies have shown how the agitation and aeration rates influence the oxygen transfer rate but there are much less studies on the influence on cell growth and metabolites productivity.…”