Diffusion modeling of the Rayleigh piston

1981 ◽  
Vol 26 (3) ◽  
pp. 539-553 ◽  
Author(s):  
Bruce N. Miller ◽  
William E. Stein
Keyword(s):  
Diffusion Modeling ◽  
Rayleigh Piston

Examination of diffusion modeling using zero-mean-shear turbulence

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 929-935
Author(s):  
A. G. Straatman ◽  
G. D. Stubley ◽  
G. D. Raithby
Keyword(s):  
Diffusion Modeling ◽  
Shear Turbulence

scholarly journals Biosorption and Diffusion Modeling of Pb(II) by Malt Bagasse

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Klaiani B. Fontana ◽  
Giane Gonçalves Lenzi ◽  
Erica R. L. R. Watanabe ◽  
Ervin Kaminski Lenzi ◽  
Juliana A. M. T. Pietrobelli ◽  
...  
Keyword(s):  
Sorption Process ◽  
Isotherm Models ◽  
Diffusion Modeling ◽  
Biosorption Capacity ◽  
Kinetic And Thermodynamic Parameters ◽  
Pseudo Second Order ◽  
Ph Optimization ◽  
Kinetics Of ◽  
And Diffusion

The removal of Pb(II) from water by biosorption processes onto malt bagasse was investigated and the kinetic and thermodynamic parameters were obtained; additionally a diffusion modeling was proposed. The characterization of malt bagasse was performed by FTIR and SEM/EDS. The experiments were conducted in batch system and an experimental design based response surface methodology was applied for agitation speed and pH optimization. The kinetics of biosorption followed pseudo-second-order model and the temperature of the process affected the biosorption capacity. Isotherm models of Langmuir, Freundlich, and Elovich were applied and the Langmuir model showed better fit and the estimated biosorption capacity was 29.1 mg g−1. The negative values obtained for ΔG° and positive values of ΔH° confirm, respectively, the spontaneous and endothermic nature of the process. The diffusion modeling was performed based on experiments in the absence of agitation to investigate the influence of the biosorbent on the sorption process of Pb(II) ions.

scholarly journals Stochastic reaction-diffusion modeling of calcium dynamics in 3D-dendritic spines of Purkinje Cells

2021 ◽  
Author(s):  
Victor Nicolai Friedhoff ◽  
Gabriela Antunes ◽  
Martin Falcke ◽  
Fabio M. Simões de Souza
Keyword(s):  
Purkinje Cells ◽  
Dendritic Spines ◽  
Reaction Diffusion ◽  
Calcium Dynamics ◽  
Diffusion Modeling ◽  
Stochastic Reaction

Discrete Fractional Diffusion Equation of Chaotic Order

2016 ◽  
Vol 26 (01) ◽  
pp. 1650013 ◽  
Author(s):  
Guo-Cheng Wu ◽  
Dumitru Baleanu ◽  
He-Ping Xie ◽  
Sheng-Da Zeng
Keyword(s):  
Porous Media ◽  
Fractional Calculus ◽  
Diffusion Equation ◽  
Discrete Time ◽  
Chaotic Map ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Variable Order ◽  
Diffusion Modeling ◽  
Discrete Fractional Calculus

Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.

scholarly journals LINEAR-QUADRATIC JUMP-DIFFUSION MODELING

2007 ◽  
Vol 17 (4) ◽  
pp. 575-598 ◽  
Author(s):  
Peng Cheng ◽  
Olivier Scaillet
Keyword(s):  
Jump Diffusion ◽  
Diffusion Modeling ◽  
Linear Quadratic
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