A Note on the Cartesian Graetz problem with viscous dissipation

被引:2
作者
Rosales-Vera, Marco [1 ]
机构
[1] Univ Tecnol Metropolitana, Dept Mecan, Jose Pedro Alessandri 1242, Santiago, Chile
关键词
LAMINAR FORCED-CONVECTION; HEAT; FLOW;
D O I
10.1016/j.csite.2021.101391
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper a numerical analysis to the Graetz problem with viscous dissipation is carried out, based on a series expansion of the temperature field and considering two conditions for the inlet temperature profile, the case of uniform temperature and the case of adiabatic-to-isothermal entrance condition. The Nusselt number is reported for different values of the Brinkman number. The range of Brinkman numbers considered has been extended to larges values. The numerical results show the relevance of considering the effect of viscous dissipation in some engineering problems where the Brinkman number is large.
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页数:10
相关论文
共 31 条
[1]  
Arpaci VS., 1966, Conduction Heat Transfer, P203
[2]   The Graetz-Brinkman problem in a plane-parallel channel with adiabatic-to-isothermal entrance [J].
Barletta, A ;
Magyari, E .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2006, 33 (06) :677-685
[3]  
Barletta A, 1997, INT J HEAT MASS TRAN, V40, P15, DOI 10.1016/S0017-9310(96)00094-4
[4]   Forced convection with viscous dissipation in the thermal entrance region of a circular duct with prescribed wall heat flux [J].
Barletta, A. ;
Magyari, E. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (1-2) :26-35
[5]   NUMERICAL-SOLUTION OF THE GRAETZ PROBLEM FOR A BINGHAM PLASTIC IN LAMINAR TUBE FLOW WITH CONSTANT WALL TEMPERATURE [J].
BLACKWELL, BF .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (02) :466-468
[6]   HEAT EFFECTS IN CAPILLARY FLOW-I [J].
BRINKMAN, HC .
APPLIED SCIENTIFIC RESEARCH SECTION A-MECHANICS HEAT CHEMICAL ENGINEERING MATHEMATICAL METHODS, 1950, 2 (02) :120-124
[7]   An analytical solution to the Graetz problem with viscous dissipation for non-Newtonian fluids [J].
Chiba, R. ;
Izumi, M. ;
Sugano, Y. .
ADVANCED COMPUTATIONAL METHODS IN HEAT TRANSFER IX, 2006, 53 :23-+
[8]   Effects of viscous dissipation on heat convection of viscoelastic flow inside isothermal channels and tubes [J].
Daghighi, Seyed Zia ;
Norouzi, Mahmood .
KOREA-AUSTRALIA RHEOLOGY JOURNAL, 2018, 30 (04) :273-292
[9]   THE GENERALIZED GRAETZ PROBLEM IN FINITE DOMAINS [J].
Fehrenbach, Jerome ;
de Gournay, Frederic ;
Pierre, Charles ;
Plouraboue, Franck .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2012, 72 (01) :99-123
[10]  
GOLUB GH, 1983, MATRIX COMPUTATION, P384