Axial Couette-Poiseuille flow of Bingham fluids through concentric annuli

被引：42

作者：

Liu, Yu-Quan ^{[1
]}

Zhu, Ke-Qin ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2010年 / 165卷 / 21-22期

基金：

中国国家自然科学基金;

关键词：

Bingham fluids; Axial Couette-Poiseuille flow; Concentric annuli; Analytical solutions; VISCOPLASTIC FLUIDS; STABILITY;

D O I：

10.1016/j.jnnfm.2010.07.013

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the axial Couette-Poiseuille flow of Bingham fluids through concentric annuli is studied. Analytical solutions of different types of flow are derived Compared to previous studies, we emphasize two new types of flow, which have been missed previously, are found in our results. Hence, there are eight different forms of the velocity profile depending on values of three dimensionless parameters, which are the Bingham, axial Couette numbers and the radius ratio. Distributions of these eight forms are specified in the parameter plane of axial Couette number vs Bingham number for various radius ratios These new flow regimes are analyzed from both a mathematical and physical perspective (c) 2010 Elsevier B V All rights reserved

引用

页码：1494 / 1504

页数：11

共 8 条

[1]

Bird RB., 1983, REV CHEM ENG, V1, P1, DOI [DOI 10.1515/REVCE-1983-0102, 10.1515/revce-1983-0102]

[2] FLOW OF VISCOPLASTIC FLUIDS IN A ROTATING CONCENTRIC ANNULUS [J].

BITTLESTON, SH ;

HASSAGER, O .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1992, 42 (1-2) :19-36

[3] Couette-Poiseuille flow of Bingham fluids between two porous parallel plates with slip conditions [J].

Chen, Yong-Li ;

Zhu, Ke-Qin .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2008, 153 (01) :1-11

[4] Axial Couette-Poiseuille flow of power-law viscoplastic fluids in concentric annuli [J].

Filip, P ;

David, J .

JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2003, 40 (3-4) :111-119

[5] VISCOPLASTIC FLOW IN CENTERED ANNULI, PIPES, AND SLOTS [J].

FORDHAM, EJ ;

BITTLESTON, SH ;

TEHRANI, MA .

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1991, 30 (03) :517-524

[6] ON THE STABILITY OF POISEUILLE FLOW OF A BINGHAM FLUID [J].

FRIGAARD, IA ;

HOWISON, SD ;

SOBEY, IJ .

JOURNAL OF FLUID MECHANICS, 1994, 263 :133-150

[7] Linear stability of Bingham fluids in spiral Couette flow [J].

Peng, J ;

Zhu, KQ .

JOURNAL OF FLUID MECHANICS, 2004, 512 :21-45

[8] Couette flow of a Bingham plastic in a channel with equally porous parallel walls [J].

Tsangaris, Sokrates ;

Nikas, Christos ;

Tsangaris, Grigorios ;

Neofytou, Panagiotis .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2007, 144 (01) :42-48

← 1 →