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| Content Provider | Springer Nature Link |
|---|---|
| Author | Grecov, Dana Clermont, Jean Robert |
| Copyright Year | 2007 |
| Abstract | This study involves a theoretical formulation of the stream-tube method in non-stationary flows. Initially, this approach allowed flow computations by determining an unknown transformation between the physical domain and a mapped domain where the streamlines are rectilinear and parallel. To take into account vortex zones, we define local transformations of subregions of the physical domain that are mapped into rectangular domains where the transformed streamlines are still parallel and straight. The local functions must be determined numerically from the governing equations and boundary conditions put together with compatibility equations. The method enables to compute streamlines and flow data at every time, using distinguishing properties, as verification of mass conservation and definition of rectangular meshes allowing to adopt finite-difference schemes. The numerical simulations concern different non-Newtonian fluids under various geometrical and kinematic specifications related to flows between concentric and eccentric cylinders, leading to comparisons with literature data. The results also highlight the influence of the rheological properties on the flow characteristics in unsteady conditions. |
| Starting Page | 609 |
| Ending Page | 620 |
| Page Count | 12 |
| File Format | |
| ISSN | 00354511 |
| Journal | Rheologica Acta |
| Volume Number | 47 |
| Issue Number | 5-6 |
| e-ISSN | 14351528 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2008-02-26 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Unsteady flows Concentric and eccentric cylinders Non-Newtonian fluids Stream-tube method Domain decomposition Food Science Mechanical Engineering Soft Matter, Complex Fluids Polymer Sciences Characterization and Evaluation of Materials |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanics of Materials Condensed Matter Physics Materials Science |
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