Rotor-bearing system dynamic stability and calculated critical speed... [Pg.408]

For a fuller treatment of dynamic stability problems, the reader is referred to Walas (1991), Seborg et al. (1989), Habermann (1976), Perlmutter (1972) and to the simulation examples THERM, THERMPLOT, COOL, STABIL, REFRIG 1 and 2, OSCIL, LORENZ, HOPFBIF and CHAOS. [Pg.128]

This analysis is limited, since it is based on a steady-state criterion. The linearisation approach, outlined above, also fails in that its analysis is restricted to variations, which are very close to the steady state. While this provides excellent information on the dynamic stability, it cannot predict the actual trajectory of the reaction, once this departs from the near steady state. A full dynamic analysis is, therefore, best considered in terms of the full dynamic model equations and this is easily effected, using digital simulation. The above case of the single CSTR, with a single exothermic reaction, is covered by the simulation examples, THERMPLOT and THERM. Other simulation examples, covering aspects of stirred-tank reactor stability are COOL, OSCIL, REFRIG and STABIL. [Pg.156]

AUTOREFRIGERATED REACTOR OF LUYBEN DYNAMIC STABILITY ANALYSIS... [Pg.359]

Dynamic Stability of Foam Lamellae Flowing Through a Periodically Constricted Pore... [Pg.460]

Comparison of the proposed dynamic stability theory for the critical capillary pressure shows acceptable agreement to experimental data on 100-/im permeability sandpacks at reservoir rates and with a commercial a-olefin sulfonate surfactant. The importance of the conjoining/disjoining pressure isotherm and its implications on surfactant formulation (i.e., chemical structure, concentration, and physical properties) is discussed in terms of the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory of classic colloid science. [Pg.460]

JIMENEZ AND RADKE Dynamic Stability off Foam Lamellae... [Pg.477]

Abstract After some historical remarks we discuss different criteria of dynamical stability of stars and the properties of the critical states where the loss of dynamical stability leads to a collapse with formation of a neutron star or a black hole. At the end some observational and theoretical problems related to quark stars are discussed. [Pg.5]

In this review I first make a historical excursus into the problem, mentioning the results of the key works. Several criteria of stability are discussed, with the main focus on the static criteria, and the energetic method, which permits to obtain conclusions about the stability (sometimes approximate) in a most simple way. Critical states of compact stars at the boundary of the dynamic stability are considered, at which the star is becoming unstable in the process of energy losses, and a collapse begins leading to formation of a neutron star or a black hole. Physical processes leading to a loss of stability are discussed. At the end some observations and theoretical problems connected with quark stars are considered. [Pg.6]

Misner, C. W. Zapolsky, H. S. (1964). High-Density Behavior and Dynamical Stability of Neutron Star Models. Phys. Rev. Let., 12 635-637. [Pg.23]

At this point, our notion and implications of the term stability must be clarified. At the most basic level, and as utilized in Section VILA, dynamic stability implies that the system returns to its steady state after a small perturbation. More quantitatively, increased stability can be associated with a decreased amount of time required to return to the steady state as for example, quantified by the largest real part within the spectrum of eigenvalues. However, obviously, stability does not imply the absence of variability in metabolite concentrations. In the face of constantperturbations, the concentration and flux values will fluctuate around their... [Pg.220]

The Kolmogorov Smirnov test Closely related to the visual approach employed in Fig. 42, the KS test evaluates the equality of two distributions. Under the assumption that a saturation parameter has no impact on stability, its distribution within the stable subset is identical (in a statistical sense) to its initial distribution. Deviations between the two distributions, such as those shown in Fig. 42, thus indicate a dependency between the parameter and dynamic stability. [Pg.226]

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