Download PDF by Irving J Dunn: Biological reaction engineering : principles, applications

By Irving J Dunn

ISBN-10: 1560812699

ISBN-13: 9781560812692

ISBN-10: 3527285113

ISBN-13: 9783527285112

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Example text

For other cases, such as diffusion in porous matrices and for turbulent diffusion applications, an effective diffusivity value is used, which must be determined experimentally. The concentration gradient may have to be approximated in finite difference terms (finite differencing techniques are described in more detail in Secs. 4). 2 Formulation of Dynamic Models [ Mass rate of component i 1 = - 17 )r [ Diffusivity Concentration Area of graodfient )(perpendicular) component i to transport The concentration gradient can often be approximated by difference quantities, where with units kg s m2 m2 kg ,2=---s ,3 1 m m2 D.

Draw boundaries around the balance region The balance region can vary substantially, depending upon the particular area of interest of the model, ranging from say the total reactor, a region of a reactor, a single phase within a reactor, to a single gas bubble or a droplet of liquid. The actual choice, however, will always be based on a region of assumed uniform composition, or on another property as in the case of population balances. Generally, the modelling exercises will involve some prior simplification of the real system.

2. Thus the variables in this example can be interpreted as follows 1 - Transfer time constant -- Convection rate KLa 1' : Residence time constant Transfer rate and kc,, KLa = Transfer time constant Reaction time constant - Reaction rate Transfer rate Further examples of the use of dimensionless terms in dynamic modelling applications are given in Sec. 1, Sec. 7 and in the simulation examples KLADYN, DISRET, DISRE, TANKD and TUBED. 1 Rate of Chemical Reaction By simplifying the general component balance of Sec.

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Biological reaction engineering : principles, applications and modelling with PC simulation by Irving J Dunn

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