Yang, Guodong (2020) COMSOL Simulation of Mixing in a Petri Dish on a Shaker. Bachelor's Thesis, Applied Mathematics.
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Abstract
In this thesis, the behavior of a fluid in a Petri dish placed on a shaker is studied. In order to do this a simplification method was applied which is moving fame method where the coordinates system is binded to the Petri dish. This results in a periodic body forcing on the fluid in the Petri dish. Hereafter, this is implemented in COMSOL for the Burgers equation and a fluid with a free surface. For the Burgers equation, an analytic solution for the case where the nonlinear term is absent is given. This solution is replicated in the numerical solution of the Burgers equation for high viscosities. For the free surface fluid, we found that the moving mesh approach in COMSOL provided the best alternative. Finally, the mixing of a dilluted species in the fluid is considered which shows that shaking has a positive influence on reaching a homogeneous concentration of the species.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Wubs, F.W. |
| Degree programme: | Applied Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 14 Jul 2020 10:31 |
| Last Modified: | 14 Jul 2020 10:31 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/22622 |
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