Analysis of laminar heat transfer in micro-Poiseuille 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. Laboratory of Experimentation and Numerical Simulation in Heat and Mass Transfer, LEMA, Dept. of Mechanical Engineering and Energy, Polytechnic Institute, Rio de Janeiro State University, IPRJ/UERJ, Rua Bonfim 25, Vila Amelia, Nova Friburgo, RJ 2625-570, Brazil;2. LabMEMS - Laboratory of Nano & Microfluidics and Microsystems, Mechanical Engineering Department – PEM, POLI/COPPE, Nanoengineering Department - PENT, COPPE, Federal University of Rio de Janeiro, UFRJ, Cx. Postal 68503 – Cidade Universitária, 21945-970 Rio de Janeiro, RJ, Brazil;1. James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK;2. Center for Integrative Petroleum Research, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum & Minerals, Saudi Arabia;3. School of Engineering, University of Edinburgh, Edinburgh EH9 3FB, UK |
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| Abstract: | The present study examines laminar forced convective heat transfer of a Newtonian fluid in a microchannel between two parallel plates analytically. The viscous dissipation effect, the velocity slip and the temperature jump at the wall are included in the analysis. Both hydrodynamically and thermally fully developed flow case is examined. Either the hot wall or the cold wall case is considered for the two different thermal boundary conditions, namely the constant heat flux (CHF) and the constant wall temperature (CWT). The interactive effects of the Brinkman number and the Knudsen number on the Nusselt numbers are analytically determined. Different definitions of the Brinkman number based on the definition of the dimensionless temperature are discussed. It is disclosed that for the cases studied here, singularities for the Brinkman number-dependence of the Nusselt number are observed and they are discussed in view of the energy balance. |
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