Thermal and hydrodynamic analysis of gaseous flow in trapezoidal silicon microchannels |
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| Authors: | Lütfullah Kuddusi Edvin Çetegen |
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| Affiliation: | 1. School of Mathematical Science, Inner Mongolia University, Hohhot, Inner Mongolia 010021, China;2. School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, Inner Mongolia 010051, China;3. The State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China;1. Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar, India;2. Department of Physics, Sabang S. K. Mahavidyalaya, Vidyasagar University, Midnapore, India;1. School of Mathematical Science, Inner Mongolia University, Hohhot, Inner Mongolia 010021, PR China;2. School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, Inner Mongolia 010051, PR China;1. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;2. Petroleum Engineering Department, Colorado School of Mines, Golden, CO 80402, USA |
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| Abstract: | Thermal and hydrodynamic character of a hydrodynamically developed and thermally developing flow in trapezoidal silicon microchannels is analyzed. The continuum momentum and energy equations, with the velocity slip and temperature jump condition at the solid walls, are solved numerically in a square computational domain obtained by transformation of the trapezoidal geometry. The effects of rarefaction, aspect ratio and a parameter representing the fluid/wall interaction on thermal and hydrodynamic character of flow in trapezoidal microchannels are explored. It is found that the friction factor decreases if rarefaction and/or aspect ratio increase. It is also found that at low rarefactions the very high heat transfer rate at the entrance diminishes rapidly as the thermally developing flow approaches fully developed flow. At high rarefactions, heat transfer rate does not exhibit considerable changes along the microchannel, no matter the flow is developing or not. |
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