I'm searching for 1D, 2D, and 3D tutorials and case studies with its analytical solution of Steady State & Transient Diffusion for the following field of study:
1- Diffusion of heat (Mechanical Engineering)
2- Diffusion of chemical mixtures (Chemical Engineering)
3- Diffusion of pollutants in air/water (Environmental Engineering)
4- infiltration of water through soil (Water Resources Engineering)
5- Any related topic in engineering
Each tutorial must have the following:
- Body Text
- Mathematical Model.
- Analytical Solution
Kindly, attach files if possible.
Dear Mishaal,
The tutorials you seek are readily available in a lot of custom made softwares. Refer to Pollute for Diffusion of Pollutants through water. You can find solutions for pure advection case, pure diffusion case and advective-diffusive case as well. Further, follow the works of Shackelford et al., and Bharat TV. They have been working on a lot on both numerical and analytical solutions to arrive for the same. Since, most of the content is copyright protected, I really cannot share it. It is not that simple. Hope you understand. You may have to contact them personally since you address these things in text book. I believe, if they find the content interesting, they would be more than willing to co-operate. Give it a try.
My best wishes...
@Arif Ali Baig Moghal I've searched for these references. It's copyright protected with hidden pages. Thank you for your participation.
@Vitalii Pertsevyi Both references are very good. However, it' clear that both are written by mathematicians (not engineers) and they use variable symbols that are different from default engineering symbols. In addition, all the examples are without numerical values (only symbols) which will make them useless for this project.
Thank you for your participation.
You can try the following books:
1- Geankoplis "Transport Processes and Unit Operations"
2- Diran Basmadjian"Mass Transfer Principles and Applications"
3- Bird, Stewart and Lightfoot " Transport Phenomena"
4- Robert E. Treybal " Mass Transfer Operations"
Far from exhaustive, this example I've just found is nice to play with. And you can test couple of alternative scenarios of the ADE: diffusion only, advection+dispersion... Let's say it's a small start of an answer to your request.
Cheers.
https://www.particleincell.com/2014/advection-diffusion/
These books could be helpful for your topic:
H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford,1959
J. Crank, The Mathematics of Diffusion, 2nd edition, Oxford University Press, 1975
R. Ghez, A Primer of Diffusion Problems, John Wiley & Sons, Inc., 1988
J. Crank, Free and Moving Boundary Problems, Oxford University Press, Oxford,
1984; reprinted in 1988, 1996
@Andrei V. Nazarov All references are very good. However, it's clear that they are written by mathematicians (not engineers) and they use variable symbols that are different from default engineering symbols. In addition, all the examples are without numerical values (only symbols) which will make them useless for this project.
Thank you for your participation.
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