Non stationary channel flow of a Herschel-Bulkley fluid

被引：3

作者：

Gianni, Roberto ^{[1
]}

Fusi, Lorenzo ^{[1
]}

Farina, Angiolo ^{[1
]}

机构：

[1] Univ Firenze, Dipartimento Matemat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 510卷 / 01期

关键词：

Herschel-Bulkley fluid; Shear flow; Free boundary problems; Degenerate parabolic equations;

D O I：

10.1016/j.jmaa.2022.126002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the one dimensional unsteady Poiseuille flow of an Herschel-Bulkley fluid driven by a prescribed pressure gradient. We formulate the mathematical problem that turns out to be a degenerate parabolic free boundary problem for the stress field. For such a problem we prove existence and uniqueness of a classical solution having a regular free boundary.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：24

共 12 条

[1]

[Anonymous], 1922, FLUIDITY PLASTICITY

[2] A ONE-DIMENSIONAL BINGHAM FLOW [J].

COMPARINI, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 169 (01) :127-139

[3]

Frigaard I. A., 2004, Journal of Non-Newtonian Fluid Mechanics, V123, P67, DOI 10.1016/j.jnnfm.2004.06.011

[4] A mathematical model for Bingham-like fluids with visco-elastic core [J].

Fusi, L ;

Farina, A .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (05) :826-847

[5] Lubrication flow of a generalized Casson fluid with pressure-dependent rheological parameters [J].

Fusi, Lorenzo .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2019, 274

[6] Planar squeeze flow of a bingham fluid [J].

Fusi, Lorenzo ;

Farina, Angiolo ;

Rosso, Fabio .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 225 :1-9

[7] 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

[8]

Gianni R., 1995, ADV MATH SCI APPL, V5, P557

[9]

Gianni R., 1995, NODEA NONLINEAR DIFF, V2, P291, DOI DOI 10.1007/BF01261178

[10] Consistency measurements of rubber-benzol solutions. [J].

Herschel, WH ;

Bulkley, R .

KOLLOID-ZEITSCHRIFT, 1926, 39 (04) :291-300

← 1 2 →