The isothermal, planar Poiseuille flow of a weakly compressible Oldroyd-B fluid is considered under the assumption that the density of the fluid obeys a linear equation of state. A perturbation analysis for all the primary flow variables is carried out with the isothermal compressibility serving as
Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids
β Scribed by Eleni G. Taliadorou; Marina Neophytou; Georgios C. Georgiou
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 884 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0377-0257
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β¦ Synopsis
Both the planar and axisymmetric isothermal Poiseuille flows of weakly compressible Newtonian liquids with constant shear and bulk viscosities are solved up to the second-order. A linear equation of state is assumed and a perturbation analysis of the primary flow variables is performed using compressibility as the perturbation parameter. The effects of compressibility, the bulk viscosity, the aspect ratio, and the Reynolds number on the velocity and pressure fields are studied and comparisons are made with available analytical results.
π SIMILAR VOLUMES
The pressure-dependence of the viscosity becomes important in flows where high pressures are encountered. Applications include many polymer processing applications, microfluidics, fluid film lubrication, as well as simulations of geophysical flows. Under the assumption of unidirectional flow, we der