SECONDARY FLOWS IN CONE AND PLATE FLOW OF AN OLDROYD-B FLUID

被引：21

作者：

OLAGUNJU, DO ^{[1
]}

COOK, LP ^{[1
]}

机构：

[1] UNIV DELAWARE,DEPT MATH SCI,NEWARK,DE 19716

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 1993年 / 46卷 / 01期

关键词：

AXISYMMETRICAL SOLUTIONS; CONE AND PLATE FLOW; OLDROYD-B FLUID; SECONDARY FLOW;

D O I：

10.1016/0377-0257(93)80002-S

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The cone and plate flow of an Oldroyd-B fluid in the limit of small gap angle was investigated and regions in De-beta-Re space in which there are either zero, one, or infinitely many steady axisymmetric solutions for the infinite cone and plate problem were found. Closed-form analytic expressions for the leading terms in an asymptotic expansion of a steady axisymmetric solution were obtained. This solution is valid for Re of order unity (i.e. for flows with inertia). The effect of Deborah number De, retardation parameter beta, and Reynolds number Re, on secondary flow is discussed.

引用

收藏

页码：29 / 47

页数：19

相关论文

共 11 条

[1] FLOW OF A FLUID BETWEEN 2 ROTATING COAXIAL CONES HAVING SAME VERTEX [J].

BHATNAGAR, PL ;

RATHNA, SL .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1963, 16 (03) :329-&

[2] FLOW FIELD OF NEWTONIAN FLUIDS IN CONE AND PLATE VISCOMETERS WITH SMALL GAP ANGLES [J].

HEUSER, G ;

KRAUSE, E .

RHEOLOGICA ACTA, 1979, 18 (05) :553-564

[3]

Hoppmann W. H., 1965, T SOC RHEOL, V9, P417

[4] A TRANSITION OCCURRING IN IDEAL ELASTIC LIQUIDS DURING SHEAR-FLOW [J].

MAGDA, JJ ;

LARSON, RG .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1988, 30 (01) :1-19

[5] OBSERVATIONS ON THE ELASTIC INSTABILITY IN CONE-AND-PLATE AND PARALLEL-PLATE FLOWS OF A POLYISOBUTYLENE BOGER FLUID [J].

MCKINLEY, GH ;

BYARS, JA ;

BROWN, RA ;

ARMSTRONG, RC .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1991, 40 (02) :201-229

[6] CONE-AND-PLATE FLOW OF THE OLDROYD-B FLUID IS UNSTABLE [J].

PHANTHIEN, N .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1985, 17 (01) :37-44

[7]

SAVINS JG, 1970, RHEOL ACTA, V3, P365

[8] SECONDARY FLOW AND TURBULENCE IN A CONE-AND-PLATE DEVICE [J].

SDOUGOS, HP ;

BUSSOLARI, SR ;

DEWEY, CF .

JOURNAL OF FLUID MECHANICS, 1984, 138 (JAN) :379-404

[9] PERTURBATION SOLUTION OF STEADY NEWTONIAN FLOW IN CONE AND PLATE AND PARALLEL PLATE SYSTEMS [J].

TURIAN, RM .

INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1972, 11 (03) :361-&

[10] ON THE FLOW OF A NON-NEWTONIAN FLUID BETWEEN ROTATING, COAXIAL DISKS [J].

WALSH, WP .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1987, 38 (04) :495-512