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When we did King Kong in the 70s, one minute you'd have a shot of Rick Baker in this big suit and then you'd cut to this 80ft stiff model, and they looked nothing alike.
But Robertson stiff model has better agreement with the experimental values of shear stress and shear rate data of the developed polymer gel system than the other models tested.
Conventional continuum mechanistic models for polymer degradation typically involve thousands of coupled differential-algebraic equations, requiring an efficient solver to solve the complex set of stiff model equations.
This steady state is in practice often simulated by chemical engineers using a series of CSTRs type model due to its stable behavior with respect to spatial discretization and smooth convergence for the underlying stiff model equations.
For a stiff model, the uniformization rate λ ≥ max x ∈ S λ x will correspond to the fastest time scale.
In a stiff model the components of the underlying system act on time scales that differ by several orders of magnitude and this arises in various application domains, especially in systems biology.
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Regarding IVP solvers, explicit and implicit Runge-Kutta of several orders and Adams methods have been incorporated to deal with non-stiff or mildly-stiff dynamic systems; methods based on the backward differentiation formulae (BDF) are available to solve stiff models and methods using sparse algebra may be used for large-scale models.
The yield-pseudoplastic rheology is represented by the three-parameter Robertson-Stiff model.
Attempts have been made to validate the onset of gelation behavior with Bingham plastic, Herschel-Bulkley, Mizrahi-Berk, and Robertson-Stiff model.
It was observed that the developed polymer gel system under the present study has better agreement with the Robertson-Stiff model.
Out of the three nonlinear rheological models (Herschel-Bulkley, Mizrahi-Berk, and Robertson-Stiff), the Robertson-Stiff model has better agreement with the experimental values of shear stress and shear rate data of the developed polymer gel system.
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