The Kolmogorov model and Schneider

rate equation were successfully applied to simulate the crystallization behavior of neat polymers under complex thermal and flow histories.

Therefore, the flow

rate equation must be corrected considering theses effects.

Method for determining the

rate equation of the pyrolysis of oil shale

According to the research of hot deformation data, Sellar and Tegart developed an Arrhenius kinetic

rate equation which includes the activation energy and the temperature [13].

The model mainly contains three parts: (1) the fluid flow at the REV scale which is governed by the generalized Navier-Stokes equations, (2) the mass transfer in porous media with respect to the effective diffusivity and a source/sink term solved by the advection-diffusion equation, and (3) the gas-solid adsorption process in the porous matrix which is governed by the typical Langmuir adsorption

rate equation. The remaining parts are organized as follows: In Section 2, a generalized LB model for fluid flow in porous media is revisited briefly.

First, given a "rate constant" for each reaction, one can write down a differential equation called the

rate equation, which describes the time evolution of the concentration of each species in a deterministic way.

The movement of solute molecules on to solid surface particulates from the aqueous phase, and then diffusion of the solute molecules into the pore interiors [37] could be described by the intra-particle diffusion

rate equation and is given as [32].

The corresponding pseudo-second order

rate equation is given as,

Despite the above-mentioned achievements in this particular research field, there is a lack of systematic investigation on an analytical solution for the dissolution

rate equation of rock salt, so that more in-depth study is required.

A brief derivation of a nucleation

rate equation based on this framework is given in the preface.

Equation A1 is called the Minimum Error

Rate Equation (MERE).