Numerical evaluation of the Graetz series

被引:24
作者
Housiadas, C
Larrodé, FE
Drossinos, Y
机构
[1] Natl Ctr Sci Res Demokritos, GR-15310 Athens, Greece
[2] Commiss European Communities, Joint Res Ctr, I-21020 Ispra, Italy
关键词
D O I
10.1016/S0017-9310(98)00257-9
中图分类号
O414.1 [热力学];
学科分类号
摘要
The Graetz problem describes the temperature field in fully-developed laminar flow in a circular tube where the wall temperature profile is a step-function. Several analysis of this problem, particularly the infinite series solution of the problem, referred to as the Graetz series, has been performed but a well defined method that enables the numerical evaluation of Graetz series with known accuracy is not yet developed. In this regard, an accurate method for calculating the thermal entrance region in the Graetz series is presented.
引用
收藏
页码:3013 / 3017
页数:5
相关论文
共 12 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]  
ABRAMOWITZ M, 1972, NBS APPL MATH SERIES, V55, pCH13
[3]  
ALUWERIER HA, 1950, APPL SCI RES A, V2, P184
[4]   HEAT OR MASS TRANSFER IN A FLUID IN LAMINAR FLOW IN A CIRCULAR OR FLAT CONDUIT [J].
BROWN, GM .
AICHE JOURNAL, 1960, 6 (02) :179-183
[5]  
Hameri K, 1996, J CHEM PHYS, V105, P7683, DOI 10.1063/1.472551
[6]  
Luikov AV., 1968, Analytical heat diffusion theory
[7]   EXTENSION OF LEVEQUE SOLUTION [J].
NEWMAN, J .
JOURNAL OF HEAT TRANSFER, 1969, 91 (01) :177-&
[8]  
Newman J., 1973, FUNDAMENTAL PRINCIPL, V6
[9]  
Sellars J. R., 1956, Journal of Fluids Engineering, V78, P441, DOI [10.1115/1.4013701, DOI 10.1115/1.4013701]
[10]  
SHAH RK, 1978, LAMINAR FLOW FORCED, pCHR5