It has been shown experimentally by many researchers that cooling rate and crystallization temperature affect the rate of crystal formation. In this study, crystallization kinetics of coconut oil was measured by monitoring the solid fraction of the oil using pulsed Nuclear Magnetic Resonance (pNMR). Four levels of cooling rate and crytallization temperature were studied. Parameters of crystalli...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

based on driving force for crystallization of one-component gas hydrate, in this report an expression for the supersaturation for crystallization of multicomponent gas hydrate is derived. expressions for the supersaturation are obtained in isothermal and isobaric regimes. the results obtained are applied to the crystallization of hydrates of mixtures of methane plus ethane and can apply to othe...

in this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal err...

Most Himalayan Cenozoic leucogranites are peraluminous magmas that have experienced various degrees of fractional crystallization. These characterized by relatively high heterogeneity in their elemental compositions. As the melt’s Zr/Hf ratio passes ∼20, there is an apparent change from positive to negative correlation between Zr (or Hf) and ratio. Nb/Ta ∼5, Nb first decreases then increases, b...

The interactions of magmas with their surroundings are important in the evolution igneous systems and crust. In this chapter, we conceptually distinguish assimilation from other modes magmatic interaction discuss a range geochemical models. We define its simplest form as an end-member mode which initial state ( t 0 ) that includes system melt solid wall rock evolves to later n where two entitie...