Kinetics and selected variables (temperature, particle size and time) for extraction of Terminalia Catappa L Kernel Oil (TCKO) were investigated using solvent extraction. Kinetic models studied were: parabolic diffusion, power law, hyperbolic, Elovich and pseudo-second-order. In ascending order, the best-fitted models at the optimum temperature and oil yield were Elovich’s model, hyperbolic...

Lévy flights and fractional Brownian motion (fBm) have become exemplars of the heavy tailed jumps and long-ranged memory seen in space physics and elsewhere. Natural time series frequently combine both effects, and Linear Fractional Stable Motion (LFSM) is a model process of this type, combining alpha-stable jumps with a memory kernel. In contrast complex physical spatiotemporal diffusion proce...

A form of the Euler equation using an impulse formulation is presented. This form is based on a representation of the divergence-free projection operator in terms of a continuous distribution of vortex dipoles which have a finite self-induced velocity. A generalization of the Euler equation is presented as a kinetic equation similar to the Vlasov–Poisson equation. An interesting feature of this...

Abstract. We investigate a kinetic model for the sedimentation of dilute suspensions of rod-like particles under gravity, deduced by Helzel, Otto and Tzavaras (2011), which couples the impressible (Navier-)Stokes equation with the Fokker-Planck equation. With no-flux boundary condition for distribution function, we establish the existence and uniqueness of global weak solution to the two dimens...

mercaptans are commonly present in petroleum products. their foul odor and highly corrosive nature make them the most undesirable sulfur compounds so they should be removed because of environmental issues. merox process is used for oxidation of mercaptans to disulfide using air in the presence of alkaline solution and merox catalyst. in this paper, due to lack of information about the kinetic o...

Hydrothermal synthesis of nickel-chitosan hybrid  has  been accomplished using Ni(CH3COO)2,4H2O, chitosan and water as starting material, template and solvent respectively, followed by calcination at 800 and 900˚C to provide nanoporous NiO800  and NiO900. The solid products were characterized by X-ray diffraction (XRD), nitrogen adsorption-desorption, scanning electron microscopy (SEM) and Four...

We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also use a projection technique that allows to reformulate the kinetic equation into a coupled system of an evolution equation for the macroscopic density and a kinetic equation for the non-equilibrium part. By using a suita...

discrete element method (dem) is extensively used for mathematical modeling and simulating the behavior of discrete discs and discrete spheres in two and three dimensional space, respectively. prediction of particles flow regime, power draw and kinetic energy for a laboratory or an industrial mill is possible by dem simulation. in this article, a new approach was used to assess the main paramet...