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| Content Provider | Springer Nature Link |
|---|---|
| Author | Green, J. E. F. Smith, F. T. Ovenden, N. C. |
| Copyright Year | 2009 |
| Abstract | The problem of fluid flow in a compliant-walled channel which branches into two or more daughters is considered with the aim of understanding blood flow through arterio-venous malformations (AVMs) in the brain. The outer walls of the channel are assumed for definiteness to behave as spring-back plates, whilst the divider is taken as rigid. The fluid is assumed to be incompressible and inviscid. When the Strouhal number is small (as occurs in practice in the brain), there are two main axial length scales, one much longer than the vessel width and the other comparable with the vessel width. Also, in the case of small wall displacements, one can analyse the local flow-structure interaction problem using a complex variable method. The flow shows markedly different qualitative features downstream of the branching, depending on the wall stiffness. |
| Starting Page | 353 |
| Ending Page | 365 |
| Page Count | 13 |
| File Format | |
| ISSN | 00220833 |
| Journal | Journal of Engineering Mathematics |
| Volume Number | 64 |
| Issue Number | 4 |
| e-ISSN | 15732703 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2009-03-28 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Branching channel Compliant walls Inviscid fluid flow Matching Numeric Computing Mathematical Modeling and Industrial Mathematics Analysis Applications of Mathematics Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Engineering |
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