NUMERICAL-SOLUTION OF GRAETZ PROBLEM WITH AXIAL CONDUCTION

被引:51
作者
BILIR, S
机构
[1] Selçuk University, Konya
关键词
631 Fluid Flow - 641 Heat and Mass Transfer; Thermodynamics; -; 921; Mathematics;
D O I
10.1080/10407789208944889
中图分类号
O414.1 [热力学];
学科分类号
摘要
Heat transfer in the thermal entrance region of pipes is analyzed by the finite-difference method including the effect of axial fluid conduction. A hydrodynamically developed flow through a two-region pipe is investigated for constant surface temperatures by a step change and for insulated upstream and uniform wall heat flux in the downstream region. The rate of convergence is enhanced by discretizing the governing differential equation by an exact profile obtained from the analytical solution of the one-dimensional conduction-convection problem.
引用
收藏
页码:493 / 500
页数:8
相关论文
共 12 条
[1]
Graetz L., 1885, ANN PHYS CHEM, V25, P337, DOI DOI 10.1002/ANDP.18852610702
[2]
Graetz L, 1883, ANN PHYSIK, V18, P79
[3]
Hennecke D.K., 1968, W RMEUND STOFF BERTR, V1, P177, DOI [10.1007/BF00751149, DOI 10.1007/BF00751149]
[5]
KAYS WM, 1966, CONVECTIVE HEAT MASS, P102
[6]
ON APPROXIMATE SOLUTIONS OF THE GRAETZ PROBLEM WITH AXIAL CONDUCTION [J].
LAOHAKUL, C ;
CHAN, CY ;
LOOK, KY ;
TAN, CW .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1985, 28 (03) :541-545
[7]
GRAETZ PROBLEM WITH AXIAL HEAT-CONDUCTION [J].
MICHELSEN, ML ;
VILLADSEN, J .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1974, 17 (11) :1391-1402
[8]
Patankar S.V., 2018, NUMERICAL HEAT TRANS
[9]
SCHNEIDER PJ, 1957, T ASME, V79, P765
[10]
DETERMINATION OF TEMPERATURE DISTRIBUTION IN LAMINAR PIPE-FLOW WITH A STEP CHANGE IN WALL HEAT-FLUX [J].
SMITH, CE ;
FAGHRI, M ;
WELTY, JR .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1975, 97 (01) :137-139