On Poiseuille flows of a Bingham plastic with pressure-dependent rheological parameters

被引：14

作者：

Damianou, Yiolanda ^{[1
]}

Georgiou, Georgios C. ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2017年 / 250卷

关键词：

Bingham plastic; Poiseuille flow; Pressure-dependent viscosity; Pressure-dependent yield stress; FLUID;

D O I：

10.1016/j.jnnfm.2017.10.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The plane Poiseuille flow of a Bingham plastic with pressure-dependent material parameters is analysed. Both the plastic viscosity and the yield stress are assumed to vary linearly with pressure and analytical solutions are derived for the two-dimensional pressure and the one-dimensional velocity. The effects of the plastic-viscosity and yield-stress growth parameters on the thickness of the unyielded plug and the conditions for the occurrence of flow are discussed.

引用

页码：1 / 7

页数：7

共 9 条

[1]

[Anonymous], 1893, Am. J. Sci, DOI DOI 10.2475/AJS.S3-45.266.87

[2]

Bingham EC, 1922, Fluidity and plasticity, V2

[3] Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach [J].

Fusi, Lorenzo ;

Farina, Angiolo ;

Rosso, Fabio ;

Roscani, Sabrina .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 221 :66-75

[4] Bingham flows with pressure-dependent rheological parameters [J].

Fusi, Lorenzo ;

Farina, Angiolo ;

Rosso, Fabio .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2014, 64 :33-38

[5] Combined Effect of Pressure and Temperature on the Viscous Behaviour of All-Oil Drilling Fluids [J].

Hermoso, J. ;

Martinez-Boza, F. ;

Gallegos, C. .

OIL & GAS SCIENCE AND TECHNOLOGY-REVUE D IFP ENERGIES NOUVELLES, 2014, 69 (07) :1283-1296

[6] Viscoplastic modeling of granular column collapse with pressure-dependent rheology [J].

Ionescu, Loan R. ;

Mangeney, Anne ;

Bouchut, Francois ;

Roche, Olivier .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 219 :1-18

[7] Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity [J].

Kalogirou, Anna ;

Poyiadji, Stella ;

Georgiou, Georgios C. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2011, 166 (7-8) :413-419

[8]

Málek J, 2007, HANDBOOK OF MATHEMATICAL FLUID DYNAMICS, VOL IV, P407

[9] Revisiting plane Couette-Poiseuille flows of a piezo-viscous fluid [J].

Suslov, Sergey A. ;

Tran, Thien Duc .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2008, 154 (2-3) :170-178

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