EVALUATION OF THE EIGENVALUES FOR THE GRAETZ PROBLEM IN SLIP-FLOW

Authors
BARRON RF WANG XM WARRINGTON RO AMEEL T
Citation
Rf. Barron et al., EVALUATION OF THE EIGENVALUES FOR THE GRAETZ PROBLEM IN SLIP-FLOW, International communications in heat and mass transfer, 23(4), 1996, pp. 563-574
Citations number
15
Categorie Soggetti
Mechanics,Thermodynamics
Journal title
International communications in heat and mass transfer → ACNP
ISSN journal
07351933
Volume
23
Issue
4
Year of publication
1996
Pages
563 - 574
Database
ISI
SICI code
0735-1933(1996)23:4<563:EOTEFT>2.0.ZU;2-J
Abstract
A technique was developed for evaluation of the eigenvalues for the Gr aetz problem extended to slip-flow. The first four eigenvalues for Knu dsen numbers of 0.02, 0.04,..., 0.12 were found. By using a least squa re curve-fit method, simplified relationships between the eigenvalues and Knudsen number were obtained. The efficient and accurate determina tion of the eigenvalues will lead to better predictions of heat transf er in rarefied gas flows and for gas flows in microtubes.