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Effective Rheological Properties in Semi-dilute Bacterial Suspensions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Potomkin, Mykhailo Ryan, Shawn D. Berlyand, Leonid |
| Copyright Year | 2016 |
| Abstract | Interactions between swimming bacteria have led to remarkable experimentally observable macroscopic properties such as the reduction in the effective viscosity, enhanced mixing, and diffusion. In this work, we study an individual-based model for a suspension of interacting point dipoles representing bacteria in order to gain greater insight into the physical mechanisms responsible for the drastic reduction in the effective viscosity. In particular, asymptotic analysis is carried out on the corresponding kinetic equation governing the distribution of bacteria orientations. This allows one to derive an explicit asymptotic formula for the effective viscosity of the bacterial suspension in the limit of bacterium non-sphericity. The results show good qualitative agreement with numerical simulations and previous experimental observations. Finally, we justify our approach by proving existence, uniqueness, and regularity properties for this kinetic PDE model. |
| Starting Page | 580 |
| Ending Page | 615 |
| Page Count | 36 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11538-016-0156-2 |
| PubMed reference number | 27025378 |
| Journal | Medline |
| Volume Number | 78 |
| Alternate Webpage(s) | https://engagedscholarship.csuohio.edu/cgi/viewcontent.cgi?article=1306&context=scimath_facpub |
| Alternate Webpage(s) | http://www.personal.psu.edu/users/l/v/lvb2/pdf/BerPotRya16.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1504.03030v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s11538-016-0156-2 |
| Journal | Bulletin of mathematical biology |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
