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The mechanism underlying the pattern formation has been discussed on the light of the Flory–Huggins (FH) lattice theory, grain boundary effects and the Cahn Hilliard equation for mass conservation systems.
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The enhanced absorption of free chloride ions due to cement or supplementary cementitious material hydration is considered in ion-mass conservation system (Maekawa et al. 2003; Ishida et al. 2009).
Furthermore, the present method considerably improves mass conservation of the system, which is particularly important for long time periodical flow simulations.
The Stefan Maxwell matrix is singular and a mass conservation constraint completes the system of equations.
IGF-1 is closely related to muscle mass, conservation of the musculoskeletal system, the metabolic rate, and muscle strength.
Applying mass conservation in 1D radial system, (frac{partial p}{partial t} + frac{1}{r}frac{partial }{partial r}(rrho u_{text{r}} ) = 0), Eq. (13) can be rewritten as rho frac{partial H}{partial t} = frac{1}{r}frac{partial }{partial r}left[ {lambda rfrac{partial T}{partial r}} right] + frac{partial p}{partial t} + dot{Q}.
Following common practice in dynamical systems analysis, linearization of the mass conservation equations for a chemical reacting system around the steady state yields, (2) where J is the nxn Jacobian matrix (n = the number of dynamic concentration variables), and x'(= x - xss) is the deviation vector of the concentration variables from the steady state (xss).
A new model which is established based on the process simulation, mass conservation and characteristics of the system was employed to study the dynamic performance in these cases.
Here, the biochemical rate j is expanded as a product of a rate constant (γ j ) and the p variables of the system to characteristic kinetic orders (g jk ), while c ij are the stoichiometric coefficients of the system describing mass conservation.
A mass balance or material balance is an application of the mass conservation to the analysis of physical systems.
This system describes the mass conservation and the separation property of a cascade, which provides the hydraulic state and the component distributions in the cascade.
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