Unsteady flow of a generalized Oldroyd-B fluid using a director theory approach
Using a 1D model based on the Cosserat theory which reduces the exact three-dimensional equations to a system of partial differential equations depending on time and on a single spatial variable, we analyze the axisymmetric unsteady flow of an incompressible viscoelastic generalized Oldroyd-B fluid...
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| Format: | article |
| Language: | eng |
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2008
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| Online Access: | http://hdl.handle.net/10174/1226 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/1226 |
| Summary: | Using a 1D model based on the Cosserat theory which reduces the exact three-dimensional equations to a system of partial differential equations depending on time and on a single spatial variable, we analyze the axisymmetric unsteady flow of an incompressible viscoelastic generalized Oldroyd-B fluid with shear-dependent viscosity. In this study we consider an uniform rectilinear pipe with circular cross-section and give the relationship between average pressure gradient and volume flow rate over a finite section of the pipe and the corresponding equation of the wall shear stress. An application to blood flow is also given in the steady case. |
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