PHENOMENOLOGICAL BEHAVIOR OF MULTIPOLAR VISCOUS FLUIDS

被引：58

作者：

BELLOUT, H ^{[1
]}

BLOOM, F ^{[1
]}

NECAS, J ^{[1
]}

机构：

[1] CHARLES UNIV, CS-11636 PRAGUE 1, CZECHOSLOVAKIA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1992年 / 50卷 / 03期

关键词：

MULTIPOLAR FLUIDS; VISCOSITY; BOUNDARY-LAYER; POISEUILLE FLOW;

D O I：

10.1090/qam/1178435

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A constitutive theory is formulated to describe the flow of viscous fluids: the theory of multipolar fluids exhibits nonlinear relations among the stress tensors and spatial derivatives of the velocity of order greater than one and is compatible with the basic principles of continuum mechanics and thermodynamics. For an isothermal, incompressible, dipolar fluid the velocity profiles for various steady flows, such as proper Poiseuille flow in a circular pipe, are computed; the results are compared with the velocity profiles obtained from the steady Navier-Stokes equations through an application of the Prandtl boundary-layer theory.

引用

页码：559 / 583

页数：25

共 13 条

[1]

BELLOUT H, UNPUB EXISTENCE UNIQ

[2]

BELLOUT H, UNPUB STEADY PLANE P

[3]

BLEUSTEIN JL, 1967, J ENG SCI, V5, P323

[4]

Goldstein S., 1938, MODERN DEV FLUID DYN, V1

[5]

GREEN AE, 1964, ARCH RATION MECH AN, V16, P325

[6]

GREEN AE, 1964, ARCH RATION MECH AN, V17, P113

[7]

LIONS JL, 1969, METHODES RESOLUTION

[8]

Neas J., 1989, COMMENT MATH U CAROL, V30, P551

[9] SOME QUALITATIVE PROPERTIES OF THE VISCOUS COMPRESSIBLE HEAT CONDUCTIVE MULTIPOLAR FLUID [J].

NECAS, J ;

NOVOTNY, A .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (2-3) :197-220

[10]

NECAS J, 1991, Q APPL MATH, V49, P247

← 1 2 →