Three-dimensional laminar slip-flow and heat transfer in a rectangular microchannel with constant wall temperature |
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| Authors: | HD Madhawa Hettiarachchi Mihajlo Golubovic William M Worek WJ Minkowycz |
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| Affiliation: | 1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;2. Dipartimento di Ingegneria Astronautica, Elettrica ed Energetica, Facoltà di Ingegneria, Sapienza Università di Roma, Via Eudossiana, 18-00184 Rome, Italy;3. CORIA-UMR 6614, Normandie University, CNRS-University & INSA of Rouen, 76000 Rouen, France;1. High Performance Computing (HPC) Laboratory, Department of Mechanical Engineering, Ferdowsi University of Mashhad, 91775-1111, Mashhad, Iran;2. Department of Mechanical Engineering, University of Victoria, Victoria, British Columbia, Canada;1. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran;2. Dipartimento di Ingegneria Astronautica, Elettrica ed Energetica, Sapienza Università di Roma, Via Eudossiana 18, Roma 00184, Italy;3. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;4. Sustainable Management of Natural Resources and Environment Research Group, Faculty of Environment and Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam;1. Department of Mathematics and Statistics, Al-Imam University, Riyadh, Saudi Arabia;2. Department of Mathematics and Statistical Sciences & Department of Mechanical, Energy and Industrial Engineering, Botswana International University of Science and Technology, Palapye, Botswana;3. Centro de Investigación en Creatividad y Educación Superior y Departamento de Ingeniería Mecánica, Universidad de Santiago de Chile, Santiago, Chile |
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| Abstract: | Three-dimensional laminar slip-flow and heat transfer in rectangular microchannels having constant temperature walls are studied numerically using the finite-volume method for thermally and simultaneously developing flows. The Navier–Stokes and energy equations are solved with velocity slip and temperature jump at the wall. A modified convection–diffusion coefficient at the wall–fluid interface is defined to incorporate the temperature-jump boundary condition. Validity of the numerical simulation procedure is established and the effect of rarefaction on hydrodynamicaly developing flow field, pressure gradient and entrance length is analyzed. A correlation for the fully developed friction factor is presented as a function of Knudsen number (Kn) and aspect ratio (α). The influence of rarefaction on the Nusselt (Nu) number is investigated for thermally and simultaneously developing flows. The effect of velocity slip is found to increase the Nu number, while the temperature-jump tends to decrease it, and the combined effect could result in an increase or a decrease in the Nu number. In the fully developed region, there could be high as 15% increase or low as 50% decrease in Nu number is plausible for the range of parameters considered in this work. |
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