Non-Newtonian channel flow-exact solutions

被引：13

作者：

Griffiths, P. T. ^{[1
]}

机构：

[1] Coventry Univ, Ctr Fluid & Complex Syst, Coventry CV1 5FB, W Midlands, England

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2020年 / 85卷 / 02期

关键词：

non-Newtonian; exact solutions; plane Poiseuille flow; FLUID;

D O I：

10.1093/imamat/hxaa005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short communication, exact solutions are obtained for a range of non-Newtonian flows between stationary parallel plates. The pressure-driven flow of fluids with a variational viscosity that adheres to the Carreau governing relationship are considered. Solutions are obtained for both shear-thinning (viscosity decreasing with increasing shear-rate) and shear-thickening (viscosity increasing with increasing shear-rate) flows. A discussion is presented regarding the requirements for such analytical solutions to exist. The dependence of the flow rate on the channel half width and the governing non-Newtonian parameters is also considered.

引用

页码：263 / 279

页数：17

共 10 条

[1]

ABRAMOWITZ M., 1972, Handbook of mathematical functions with formulas, graphs, and mathematical table

[2]

Bird R. B., 1977, DYNAMICS POLYM LIQUI, V1

[3] RHEOLOGICAL EQUATIONS FROM MOLECULAR NETWORK THEORIES [J].

CARREAU, PJ .

TRANSACTIONS OF THE SOCIETY OF RHEOLOGY, 1972, 16 (01) :99-&

[4] Analytical solutions for Newtonian and inelastic non-Newtonian flows with wall slip [J].

Ferras, L. L. ;

Nobrega, J. M. ;

Pinho, F. T. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2012, 175 :76-88

[5] Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate [J].

Fetecau, Constantin ;

Fetecau, Corina ;

Kamran, M. ;

Vieru, D. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2009, 156 (03) :189-201

[6] Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains [J].

Jamil, M. ;

Fetecau, C. .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2010, 165 (23-24) :1700-1712

[7] First instability of the flow of shear-thinning and shear-thickening fluids past a circular cylinder [J].

Lashgari, Iman ;

Pralits, Jan O. ;

Giannetti, Flavio ;

Brandt, Luca .

JOURNAL OF FLUID MECHANICS, 2012, 701 :201-227

[8] Analytical solutions for the free-draining flow of a Carreau-Yasuda fluid on a vertical plate [J].

Manuel Peralta, Juan ;

Meza, Barbara E. ;

Zorrilla, Susana E. .

CHEMICAL ENGINEERING SCIENCE, 2017, 168 :391-402

[9] Stability of plane Couette-Poiseuille flow of shear-thinning fluid [J].

Nouar, Cherif ;

Frigaard, Ian .

PHYSICS OF FLUIDS, 2009, 21 (06)

[10] Analytical solution for fully developed channel and pipe flow of Phan-Thien-Tanner fluids [J].

Oliveira, PJ ;

Pinho, FT .

JOURNAL OF FLUID MECHANICS, 1999, 387 :271-280

← 1 →