Effect of variable thermal conductivity and viscosity on single phase convective heat transfer in slip flow |
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Authors: | Email author" target="_blank">Sad?k?Kaka?Email author Alm?la?G?Yaz?c?o?lu Arif?Cem?G?zükara |
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Institution: | (1) Mechanical Engineering Department, TOBB University of Economics and Technology, 06560 Ankara, Turkey;(2) Mechanical Engineering Department, Middle East Technical University, 06531 Ankara, Turkey;(3) MGEO Division, ASELSAN Inc, 06287 Ankara, Turkey |
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Abstract: | For a variety of fields in which micro-mechanical systems and electronic components are used, fluid flow and heat transfer
at the microscale needs to be understood and modeled with an acceptable reliability. In general, models are prepared by making
some extensions to the conventional theories by including the scaling effects that become important for microscale. Some of
these effects are; axial conduction, viscous dissipation, and rarefaction. In addition to these effects, temperature variable
thermal conductivity and viscosity may become important in microscale gas flows due to the high temperature gradients that
may exist in the fluid. For this purpose, simultaneously developing, single phase, laminar and incompressible air flow in
a microtube and in the micro gap between parallel plates is numerically analyzed. Navier–Stokes and energy equations are solved
and the variation of Nusselt number along the channel is presented in tabular and graphical forms as a function of Knudsen,
Peclet, and Brinkman numbers, including temperature variable thermal conductivity and viscosity. |
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