Lubricating films of a viscoelastic fluid, including fluid inertia, studied by a linearization method
| Autor: | John Tichy, Patrick Bourgin |
|---|---|
| Rok vydání: | 1985 |
| Předmět: |
Physics
Mechanical Engineering media_common.quotation_subject General Engineering Fluid mechanics Laminar flow Herschel–Bulkley fluid Mechanics Inertia Physics::Fluid Dynamics Generalized Newtonian fluid Vorticity equation Mechanics of Materials Newtonian fluid General Materials Science media_common Added mass |
| Zdroj: | International Journal of Engineering Science. 23:1135-1149 |
| ISSN: | 0020-7225 |
| DOI: | 10.1016/0020-7225(85)90035-7 |
| Popis: | This study is concerned with the influence of fluid inertia in thin laminar transient or steady flows of a second order Rivlin-Ericksen fluid, predicting the combined effects of inertia and viscoelasticity. In the present study, a linearized approximation for both the convective inertia terms and the nonlinear terms involved in the fluid constitutive law is used. The problem is transformed to a coordinate system in such a way as to result in a linear diffusion-type equation for the vorticity in the Newtonian case, and for the vorticity Laplacian in the viscoelastic case. Having prescribed adequate initial or entrance conditions, closed-form solutions are obtained and tested in three cases for which solutions exist in the literature and excellent agreement is found. In the viscoelastic fluid case three examples are presented showing: 1) The influence of weak inertia effects on the steady flow of a second-order fluid. 2) The behavior in squeezing flow of a slightly viscoelastic fluid. 3) The behavior of a viscoelastic fluid undergoing large amplitude oscillatory squeezing in the presence of weak inertia effects. |
| Databáze: | OpenAIRE |
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