2 edition of Stability and multiplicity of steady states in systems of biological reactors found in the catalog.
Stability and multiplicity of steady states in systems of biological reactors
Dale A. Edwards
Written in English
|Statement||by Dale A. Edwards.|
|The Physical Object|
|Pagination||ix, 71 leaves, bound :|
|Number of Pages||71|
Biological reactors, unlike simple chemical reactors, have additional degrees of complexity due to the regulatory features of the microorganisms or bacteria. This renders the model intractable for classical bifurcation analysis to understand the steady state behavior of the system. A combinatorial strategy is used to enable classical. At steady-state, biomass balance In – Out + Prod = Acc Sterile feed: In=0 Steady state: Acc=0 −+Fx rx V0= at steady-state Cell growth kinetics rxx =μ −+Fx μxV0= Solve F μ= V D=Dilution rate F 1 ≡= V τ μ=D Biological Mechanical Cite as: K. Dane Wittrup, course materials for Chemical and Biological Reaction Engineering, Spring File Size: 60KB.
The dynamical behavior of two coupled cells or reactors is described. The cells are coupled by diffusion, e.g., through a semipermeable membrane, and the chemical reactions and initial or feed concentrations of all species are the same in the two cells. Each cell has only a single stable steady state in the absence of coupling, and the coupled system may exhibit multiple steady states Cited by: The complicated nonlinear dynamics in film blowing process has been investigated focusing on the multiplicity, bifurcation, and stability in the dynamic solutions of the system using both the theoretical model simulation and experiments. different behavior of the system with a maximum of three steady states for the nonisothermal operations Cited by:
Multiphase reactors are becoming an important subject as a result of numerous applications in various fields ranging from chemical and petrochemical to food, biological and pharmaceutical (FBPl en gineering, namely in the hydrodesulfurization of petroleum, produc tion of Format: Paperback. Steady‐State Design of Tubular Reactor Systems. William L. Luyben. Lehigh University, USA. Search for more papers by this author. Book Author(s): William L. Luyben. Lehigh University, USA. Search for more papers by this author. Types of Tubular Reactor Systems. Tubular Reactors in Isolation.
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The multiplicity of steady states and their stability depend on key operating parameter values (dilution rate, gas-liquid mass transfer coefficient, biofilm detachment rate, and inlet substrate.
Steady state multiplicity in exothermic adiabatic reaction systems has previously been demonstrated by a number of authors. Specifically, the work of Root and Schmitz proved the existence of multiple steady states in a loop reactor, but difficulty was encountered in controlling such a reaction system at the intermediate steady by: Bioreactor operation has been reliable as demonstrated by continuous operation for up to days with long periods of steady state conditions.
Bioreactors have demonstrated stability following unplanned, non-lethal perturbations in pH, temperature, dissolved oxygen, and inedible residue by: 6. The existence of multiple stable and unstable steady states in a continuous stirred tank biological reactor (CSTBR) was demonstrated experimentally for the first time.
These experiments resulted in t Cited by: dynamics, Stability analysis, Wastewater treatment MSC: 37N25, 37C10, 34C23, 93D20 1. Introduction The steady state behaviour of biological conversion systems is an impor-tant aspect in view of their process design and control.
In particular, process conditions under which steady state multiplicity occurs should be identiﬁed accurately. The model captures this multiplicity and its bifurcation analysis his revealed additional steady-state branches, three unstable and one stable. The stability of the additional steady state (steady state 4) was confirmed by dynamic simulations using fed-batch strategy prior to initiation of continuous : A.
Namjoshi, A. Kienle and D. Ramkrishna. Yet, the latter is more stable than the open-loop reactor in the sense that the domain of steady-state multiplicity is narrower. The stability of steady states and the dynamics of the systems for.
Multiplicity and Stability of Chemical Reactors with Evaporative Cooling Article in Industrial & Engineering Chemistry Research 47(23) June with 19 Reads How we measure 'reads'.
The necessary and sufficient conditions for the existence and stability of a multiplicity of steady states are given. Diagrams are presented showing the effect of wall growth, reactor feed concentration and a kinetic inhibition parameter on conversion and on the existence of multiple steady by: In PFR–separator–recycle systems feasible steady states exist only if the reactor volume exceeds a critical value.
For one-reaction systems, one stable steady state is born at a transcritical. The effect of pressure on the possible existence of multiple steady states in bubble column reactors is investigated.
A mathematical model involving fast pseudo first‐order kinetics is employed to describe the performance of non‐isobaric, non‐isothermal : A. Shaikh, H. Binous. In Part II, stability and multiplicity of steady states and oscillations in continuous biological reactors were analyzed.
A non-monotonic specific growth rate of this bacterium is responsible for the multiple steady states observed in continuous cultures. Abstract. Feedback control of an open loop, unstable, continuous flow, stirred‐tank biological reactor was investigated theoretically using several microbial growth models.
The closed loop system can be made globally stable, but constraints on the manipulated variable can lead to as many as five steady states, which are either saddle points or locally stable by: An experimental investigation of stability and multiplicity of steady states in a biological reactor David DiBiasio School of Chemical Engineering, Purdue University, West Lafayette, Indiana Cited by: The number of steady-states depends on the characters of the reactions and reactor operation conditions, such as feed temperature and flow rate, and the heat exchange between the reactor and the environment.
Only exothermic reactions can exhibit multiple steady-state behavior. For endothermic reactions there is always only one steady-state. The Mathematical Understanding of Chemical Engineering Systems. Book The three different models for the non-isothermal problem involving a single reaction were analyzed for steady state multiplicity and stability.
In the first model, the catalyst pellet was assumed internally isothermal but with intrapellet gradient of concentration, the. State multiplicity is not limited to stand-alone reactors, but also occurs in reactor–separation–recycle systems.
The occurrence of multiple steady states can best be illustrated by a CSTR in which a highly exothermic reaction takes place. Since, IC-1 steady state (Figure 1) is a good estimate of desired operating steady state, both the estimators converge close to desired operating steady state in about the same time.
SSEE values (Ref. Table 1) for unmeasured differential states (x b and x d) and for unmeasured algebraic states (Temperatures) are listed in Table 2. The article presents an approach to design tubular reactors in recycle systems, based on non-linear analysis.
system shows state multiplicity. Part I. Stability of the steady state. () Steady-state multiplicity in continuous bulk polymerization reactors—a general approach. Chemical Engineering Science() Maximal Multiplicity for Sequential Bifurcations of a First-Order Reaction Occurring in Continuous Stirred Tank Reactors Coupled in by:.
Purchase Advanced Data Analysis and Modelling in Chemical Engineering - 1st Edition. Print Book & E-Book. ISBNStability Of Chemical Reactors book. Read reviews from world’s largest community for s: 0.Access of Hydrodynamic Parameters Required in the Design and Scale-Up of Bubble Column Reactors WOLF-DIETER DECKWER Chap DOI: /bkch Publication Date (Print): Septem