A numerical study of single-phase convective heat transfer in microtubes for slip flow |
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| Affiliation: | 1. Institute of Engineering Thermophysics, Shanghai Jiao Tong University, Shanghai 200240, China;2. College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China;1. Izmir Institute of Technology, Mechanical Engineering Department, Izmir 35430, Turkey;2. Middle East Technical University, Mechanical Engineering Department, Ankara 06800, Turkey;3. Bilkent University, Mechanical Engineering Department, Ankara 06800, Turkey;4. TOBB Economics and Technology University, Mechanical Engineering Department, Ankara 06560, Turkey;1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China;2. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China;1. Federal Research Center “Computer Science and Control” of RAS, Moscow, Russia;2. Moscow Institute of Physics and Technology, Moscow, Russia |
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| Abstract: | The steady-state convective heat transfer for laminar, two-dimensional, incompressible rarefied gas flow in the thermal entrance region of a tube under constant wall temperature, constant wall heat flux, and linear variation of wall temperature boundary conditions are investigated by the finite-volume finite difference scheme with slip flow and temperature jump conditions. Viscous heating is also included, and the solutions are compared with theoretical results where viscous heating has been neglected. For these three boundary conditions for a given Brinkman number, viscous effects are presented in the thermal entrance region along the channel. The effects of Knudsen and Brinkman numbers on Nusselt number are presented in graphical and tabular forms in the thermal entrance region and under fully developed conditions. |
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