Specific surface area variation with geometry

EXAM PLE 1.1 Variation of Specific Surface Area with Geometry. A material of density p exists as uniform cylindrical particles of radius Rc and length L. Derive an expression for Asp for this material and examine the limiting forms when either Rc or L is very small. 

Variation of specific surface area with geometry Surface area of fractal aggregates Polydispersity of a synthetic polymer... 

Variation of the dispersed phase viscosity and interfacial surface energy, which characterise the physical properties of the reacting flows, together with the variation of the tubular turbulent reactor geometry (Figure 222), the method of reactant input and hydrodynamic mode of operation, constitute various ways of controlling the specific surface area in real processes with a two-phase reaction mixture. 

In the above equation, q represents the specific growth rate (d ), Cg is external CO2 (aq) concentration (pM/kg), V is cell volume (pm ) and A is the cell surface area (pm ). Popp et al. (1998) estimated surface area to volume ratios for cells of different geometry, with cell dimensions ranging from a radius of 0.68 pm (Synechococcus sp.) to 14 pm Porosira glacialis). Isotopic fractionation for the prokaryotic species Synechococcus sp.) employed in this study exhibited little variation with growth conditions, and did not conform to the relationship observed for the eukaryotic species. Thus, Synechococcus was not included in the development of Equation (2) data from this study are shown in Figure 2. 

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