The Graetz problem extended to slip-flow

被引：155

作者：

Barron, RF ^{[1
]}

Wang, XM ^{[1
]}

Ameel, TA ^{[1
]}

Warrington, RO ^{[1
]}

机构：

[1] LOUISIANA TECH UNIV,INST MICROMFG,RUSTON,LA 71272

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 1997年 / 40卷 / 08期

关键词：

D O I：

10.1016/S0017-9310(96)00256-6

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The original problem for thermally developing heat transfer in laminar flow through a circular tube, as formulated by Graetz, did not consider the 'slip-flow' condition. This paper extends the original work of Graetz to include the effect of slip-flow, which occurs in gases at low pressures or in microtubes at ordinary pressures. A special technique was developed to evaluate the eigenvalues for the problem. Eigenvalues were evaluated for Knudsen numbers ranging between 0 and 0.12. Simplified relationships were developed to describe the effect of slip-flow on the convection heat transfer coefficient. (C) 1997 Elsevier Science Ltd.

引用

页码：1817 / 1823

页数：7

共 17 条

[1] ON THE SOLUTION OF THE DIFFERENTIAL EQUATION OCCURRING IN THE PROBLEM OF HEAT CONVECTION IN LAMINAR FLOW THROUGH A TUBE [J].

ABRAMOWITZ, M .

JOURNAL OF MATHEMATICS AND PHYSICS, 1953, 32 (2-3) :184-187

[2]

[Anonymous], HEAT TRANSF S

[3]

[Anonymous], P IEEE MICROELECTRO

[4]

Arkilic EB, 1994, ASME FED, V197, P57

[5]

BESKOK A, 1992, ASME P DSC, V40, P355

[6]

CHOI SB, 1991, MICROMECHANICAL SENS, P123

[7]

ECKERT ERG, 1972, ANAL HEAT MASS TRANS, P486

[8] HEAT-TRANSFER REGIMES IN MICROSTRUCTURES [J].

FLIK, MI ;

CHOI, BI ;

GOODSON, KE .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1992, 114 (03) :666-674

[9]

GRAETZ L, 1885, ANN PHYS CHEM, V25, P337, DOI [DOI 10.1002/ANDP.18822540106, DOI 10.1002/ANDP.18852610702]

[10]

Graetz L., 1883, Annual Review of Physical Chemistry, V18, P79

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