Sentence examples for by the intraparticle diffusion from inspiring English sources
The three stages can be determined by the intraparticle diffusion rate as referred to k dif.
To study the kinetic models for the adsorption of AA and FA on SB-AC, pseudo-first-order, pseudo-second-order and Elovich models were used, while the adsorption mechanism was evaluated by the intraparticle diffusion model.
It is first found that the overall rate of adsorption is mainly controlled by the intraparticle diffusion at a lower lactic acid concentration (<50 g/liter) but is controlled by the film diffusion at a relatively higher concentration (>70 g/liter) via a slightly increased Di with the increase of temperature.
Kinetic data for all the metal ions can be best described by the intraparticle diffusion model.
The possibility of intraparticle diffusion was also examined by using the intraparticle diffusion equation.
These results are compared to those obtained by moment analysis of the same set of chromatographic profiles and by the determination of the intraparticle diffusion coefficient from the second central moment of these bands.
Approximate expressions of adsorbate uptake rate by spherical pellets were derived from the solutions of the intraparticle diffusion equation by the methods of weighted residuals.
An initial steep-sloped portion is followed by a linear portion to the intraparticle diffusion and a plateau to the equilibrium.
The problem of modelling of the intraparticle diffusion affected by thetime-on-stream catalyst decay is considered.
For systems with non-linear adsorption isotherms, the equivalent linear driving force (LDF) expression of adsorbate uptake rate is actually a non-linear expression which can be obtained from the approximate solution of the intraparticle diffusion equation by either the least-square method using parabolic profile approximation or by the orthogonal collocation method with one collocation point.
By fitting the kinetics data into the intraparticle diffusion model, the rate-limiting phase of the adsorption process can be determined.
