release(time,data,R​ad,z,Co,V,x0,lb,ub)

The code is a solution of unsteady state 1D diffusion from polydisperse spheres
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Updated 15 Jul 2017

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Solution of unsteady state 1-dimensional Fick's diffusion equation(total amount diffused) comes out to be in the form of a summation series. For larger length scales, where the t<<(L^2)/D holds(where L is the characteristic length scale and D is diffusivity), simple approximations to the series solution are available. Whereas, the case for which this condition does not hold, the approximations are not valid and the series also converges at a relatively lower rate. The complication increases when one has a system with distribution of lengths eg. system of polydisperse spheres.
For such a system this code considers z number of terms of the summation series to fit the experimental data. User can choose appropriate value of z for the convergence of series. Additionally, the code takes into account the polydispersity using Lorentzian distribution for sphere radii.

The inputs required for the code are explained along with syntax at the beginning of the code. Code gives the values of diffusivity, mean radius and width of distribution as fit parameters after fitting the data provided by the user.

Cite As

Aakash Sharma (2024). release(time,data,Rad,z,Co,V,x0,lb,ub) (https://www.mathworks.com/matlabcentral/fileexchange/63744-release-time-data-rad-z-co-v-x0-lb-ub), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
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Version Published Release Notes
1.0.0.0