dorsal/arxiv
View SchemaEnhacement in the dymanic response of a viscoelastic fluid flowing through a longitudinally vibrating tube
| Authors | D. Tsiklauri, I. Beresnev |
|---|---|
| Categories | |
| ArXiv ID | physics/0107077 |
| URL | https://arxiv.org/abs/physics/0107077 |
| DOI | 10.1103/PhysRevE.63.046304 |
| Journal | Phys. Rev. E 63, 046304 (2001) |
Abstract
We analyzed effects of elasticity on the dynamics of fluids in porous media by studying a flow of a Maxwell fluid in a tube, which oscillates longitudinally and is subject to oscillatory pressure gradient. The present study investigates novelties brought about into the classic Biot's theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons. Using the time Fourier transform and transforming the problem into the frequency domain, we calculated: (A) the dynamic permeability and (B) the function $F(\kappa)$ that measures the deviation from Poiseuille flow friction as a function of frequency parameter $\kappa$. This provides a more complete theory of flow of Maxwell fluid through the longitudinally oscillating cylindrical tube with the oscillating pressure gradient, which has important practical applications. This study has clearly shown transition from dissipative to elastic regime in which sharp enhancements (resonances) of the flow are found.
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"abstract": "We analyzed effects of elasticity on the dynamics of fluids in porous media\nby studying a flow of a Maxwell fluid in a tube, which oscillates\nlongitudinally and is subject to oscillatory pressure gradient. The present\nstudy investigates novelties brought about into the classic Biot\u0027s theory of\npropagation of elastic waves in a fluid-saturated porous solid by inclusion of\nnon-Newtonian effects that are important, for example, for hydrocarbons. Using\nthe time Fourier transform and transforming the problem into the frequency\ndomain, we calculated: (A) the dynamic permeability and (B) the function\n$F(\\kappa)$ that measures the deviation from Poiseuille flow friction as a\nfunction of frequency parameter $\\kappa$. This provides a more complete theory\nof flow of Maxwell fluid through the longitudinally oscillating cylindrical\ntube with the oscillating pressure gradient, which has important practical\napplications. This study has clearly shown transition from dissipative to\nelastic regime in which sharp enhancements (resonances) of the flow are found.",
"arxiv_id": "physics/0107077",
"authors": [
"D. Tsiklauri",
"I. Beresnev"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1103/PhysRevE.63.046304",
"journal_ref": "Phys. Rev. E 63, 046304 (2001)",
"title": "Enhacement in the dymanic response of a viscoelastic fluid flowing through a longitudinally vibrating tube",
"url": "https://arxiv.org/abs/physics/0107077"
},
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