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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.244 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimir: 1940-2503
ISSN En Línea: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.v2.i5.40
pages 439-454

SPLITTING THE CONTRIBUTIONS OF VELOCITY AND VELOCITY GRADIENT TO THE TRANSPORT OF HEAT FLUX IN LAMINAR CONVECTION THROUGH A SQUARE DUCT WITH UNIFORM WALL TEMPERATURE

Liang-Bi Wang
School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China; Key Laboratory of Railway Vehicle Thermal Engineering of MOE, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China
Zhi-Min Lin
School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China; Key Laboratory of Railway Vehicle Thermal Engineering of MOE, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China
KeWei Song
Department of Mechanical Engineering, Lanzhou Jiaotong University, 88 West Anning Rd. Anning District, Lanzhou 730070, Gansu, China
Xiang Wu
Department of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070 PRC
Kun Hong
Department of Mechanical Engineering, Lanzhou Jiaotong University

SINOPSIS

The convective heat transfer process can be described through a process parameter, heat flux defined by Fourier's law, which results in the convective transport equation of heat flux. To find more support for the efficiency of using a heat flux transport equation, this paper (i) reports the heat flux transport equation in more a general convective heat transfer case, (ii) discusses conservation of heat flux on a control volume, and (iii) splits contributions of velocity and velocity gradient to the transport of heat flux in laminar convection through a square duct with uniform wall temperature. The main results can be summarized as follows. In a more general case, the transport equation of heat flux has source terms related to the gradient of thermal conductivity, the difference of thermal conductivity with respect to time, and the gradient of (ρcp) or (ρc). Furthermore, the volumetric integrations of the diffusion term and the convection term caused by velocity are related to integrations of fluxes through the boundaries of a control volume; other terms are the volumetric sources of the conserved quantity. Third, for laminar convection through a square duct, the contributions of velocity and velocity gradient to the convective transport of heat flux can be split.


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