Analytical approach for forced convection of Bingham fluids in a tube

被引：6

作者：

Khatyr, R ^{[1
]}

Ouldhadda, D ^{[1
]}

Idrissi, AI ^{[1
]}

机构：

[1] Fac Sci Ben MSik, UFR Energet & Instrumentat, Casablanca, Morocco

来源：

COMPTES RENDUS MECANIQUE | 2002年 / 330卷 / 02期

关键词：

fluid mechanics; Bingham fluid; laminar forced convection; asymptotic behaviour; viscous dissipation; variable wall heat flux;

D O I：

10.1016/S1631-0721(02)01422-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The asymptotic behaviour of laminar forced convection for Bingham fluid in a circular tube subjected to an axially varying wall heat flux is studied analytically. The effect of viscous dissipation is taken into account while the axial heat conduction in the fluid is considered as negligible. The asymptotic temperature profile and the asymptotic Nusselt number are determined for various axial wall heat flux distributions which yield a thermally developed region. The results obtained show a diminution in asymptotic Nusselt number when the Brinkman number and the dimensionless radius of the plug flow region increase. Comparisons with the results in the literature for Newtonian fluids show the validity of the present analysis.

引用

页码：69 / 75

页数：7

共 9 条

[1]

Barletta A, 1997, INT J HEAT MASS TRAN, V40, P15, DOI 10.1016/S0017-9310(96)00094-4

[2] The existence of an asymptotic thermally developed region for laminar forced convection in a circular duct [J].

Barletta, A ;

Zanchini, E .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1996, 39 (13) :2735-2744

[3] LAMINAR HEAT-TRANSFER IN A TUBE WITH VISCOUS DISSIPATION [J].

BASU, T ;

ROY, DN .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1985, 28 (03) :699-701

[4]

Bejan A., 1984, CONVECTION HEAT TRAN

[5] AXIAL CONDUCTION AND THE GRAETZ PROBLEM FOR A BINGHAM PLASTIC IN LAMINAR TUBE FLOW [J].

JOHNSTON, PR .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1991, 34 (4-5) :1209-1217

[6]

Midoux N., 1985, MECANIQUE RHEOLOGIE

[7] Laminar convective heat transfer of a Bingham plastic in a circular pipe .1. Analytical approach - Thermally fully developed flow and thermally developing flow (the Graetz problem extended) [J].

Min, T ;

Yoo, JY ;

Choi, H .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1997, 40 (13) :3025-3037

[8] Heat transfer in duct flow of non-Newtonian fluids with axial conduction [J].

Olek, S .

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 1998, 25 (07) :929-938

[9]

Shah R. K., 1978, Laminar flow forced convection in ducts

← 1 →