Rating function

Apart from this simple result, comparison of stability predictions for the two limiting situations can be made only by direct numerical computation, and for this purpose a specific algebraic form must be assumed for the reaction rate function, and a specific shape for che catalyst pellet. In particular, Lee and Luss considered a spherical pellet and a first order... 

Irreversible reaction with Arrhenius temperature dependence, so that the rate function took the form... 

DmJl Diameter of mill m ft Su Grinding-rate function ... 

In the matrix method a modified rate function is defined, S[ = S At as the amount of grinding that occurs in some small time At. The result is... 

Grinding-Rate Functions These were determined by tracer experiments in laboratoiy mills by Kelsall et al. (op. cit.) as shown in Fig. 20-19 and in similar work by Szantho and Fuhrmann [Aujhereit. Tech., 9(5), 222 (1968)]. These cuives can be fitted by the following equation ... 

Variation of rate function with size of feed particles and size of balls mill. [Kelsall, Reid, and Restaiick, Powder Technol., 1(5), 291 (1968).]... 

The principal techniques used to determine reaction rate functions from the experimental data are differential and integral methods. 

Set a hypothesis as to the mathematical form of the reaction rate function. In a constant volume system, the rate equation for the disappearance of reactant A is... 

Mechanical constant flow rare Self-actLiacing and deriving ics energy from the airstream to maintain the constant flow rate function. 

Pneumatic or electric Deriving the energy for maintaining the constant flow rate function from an external source. It can be either of the constant or variable type. 

System-powered Deriving its energy from the dynamic pressure in the air-stream to maintain its constant flow rate function and can be either a constant or variable type. 

Mydlarz, I. and Jones, A.G., 1990. On the estimation of size-dependent crystal growth rate functions in MSMPR crystallizers. Chemical Engineering Journal, 53, 125-135. 

Analyses of reactor performance are limited to rate functions... 

Reaction rate functions expressing rate of polymerization R generally depend upon the molar concentrations of monomer and Initiator, and temperature. 

In the computer simulations It was necessary to study reaction sequences more complex than those studied by Barkelew, which consequently led to rate functions having double rather than single concentration dependence. Numerous results from both theoretical and computational analyses. Including the effects of e and Tr, have been described elsewhere (see especially Figure 8 of reference 1). 

The rate function for copolymerization contains a summation of terms, each of which... 

PjPk = active intermediate of any length with comonomer j and k as penultimate and ultimate units, respectively R = rate function for total monomer conversion (rate of polymerization) or any rate function with appropriate subscript Rp = rate function defined in Table I Rg = gas constant... 

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