By Irving J. Dunn, Elmar Heinzle, John Ingham, Jiri E. Prenosil
During this publication, the modelling of dynamic organic engineering techniques is gifted in a hugely comprehensible method utilizing the original blend of simplified basic conception and direct hands-on machine simulation. the math is saved to a minimal, and but the 60 examples provided on a CD-ROM illustrate nearly each element of organic engineering technology. each one instance is defined intimately, together with the version equations. The programms are written within the sleek straightforward simulation language Berkeley Madonna, which might be run on either home windows computer and Power-Macintosh computers.
Madonna solves versions comprising many traditional differential equations utilizing extremely simple programming, together with arrays. it's so robust that the version parameters can be outlined as "sliders", which permit the impression in their switch at the version habit to be noticeable presently. information will be incorporated for curve becoming, and sensitivity or a number of runs could be played. the implications might be noticeable at the same time on multiple-graph home windows or through the use of overlays. The examples may be various to slot any genuine scenario, and the instructed workouts offer functional guidance.
The vast adventure of the authors, either in college instructing and overseas classes, is mirrored during this well-balanced presentation, that is compatible for the trainer, the coed, the biochemist or the engineer.
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Extra info for Biological reaction engineering: dynamic modelling fundamentals with simulation examples
In bioreactor modelling applications, this is most frequently represented by the case of oxygen transfer from air to the liquid medium, followed by oxygen taken up by the cells during respiration. In this case, the transfer of oxygen occurs across the gas liquid interface, which exists between the surface of the air bubbles and the surrounding liquid medium, as shown in Fig. 13. 13. Transfer of oxygen across a gas-liquid interface of specific area "a" into a liquid phase of volume V. Other applications may involve the supply of oxygen to the bioreactor by transfer from the air, across a membrane and then into the bulk liquid.
A semi-continuous reactor example. The kinetics are as before: t ^ rA = -kC A moles —T— m s In terms of moles the stoichiometry gives, rB = - 2 rA = + 2 k CA The component balances with no flow of material leaving the reactor are now: = FC AO + r A V d(V C ) —at— = IB v B 38 1 Modelling Principles The number of unknowns is now five and the number of equations is four, so that an additional defining relationship is required for solution. Note that V must remain within the differential, because the volume of the reactor contents is now also a variable and must be determined by a total mass balance.
The 48 1 Modelling Principles concentration of these species is a function of the pH as can be seen in the equilibrium equation Base' + H+ Acid •£ with dissociation constant CBase- H+ CAcid where CAcid is the concentration of the undissociated acid and CBase" is the concentration of the corresponding base (salt). An ion charge balance can be written £ (cations * charge) = £ (anions * charge) In the pH range of interest (usually around pH = 7) all strong acids and strong bases are completely dissociated.
Biological reaction engineering: dynamic modelling fundamentals with simulation examples by Irving J. Dunn, Elmar Heinzle, John Ingham, Jiri E. Prenosil