Fully developed laminar slip and no-slip flow in rough microtubes |
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Authors: | F Talay Akyildiz and Dennis A Siginer |
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Institution: | (1) Department of Micro-Nano Systems Engineering, Nagoya University, B3-1(641) Furo-cho, Chikusa, Nagoya Aichi, 464-8603, Japan;(2) Department of Mechanical Engineering, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-Cho Toyota, 470-0392, Japan |
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Abstract: | The effect of surface roughness on developed laminar flow in microtubes is investigated. The tube boundary is defined by r=R1+e sin( lq)]{r=R\left{1+\varepsilon\, {\rm sin}\left( {\lambda \theta }\right)}\right]}, with R representing the reference radius and e{\varepsilon} and λ the roughness parameters. The momentum equation is solved using Fourier–Galerkin–Tau method with slip at the boundary.
A novel semi-analytical method is developed to predict friction factor and pressure drop in corrugated rough microtubes for
continuum flow and slip flow that are not restricted to small values of el{\varepsilon \lambda } . The analytical solution collapses onto the perturbation solution ofDuan and Muzychka (J. Fluids Eng., 130:031102, 2008) for small enough values of el{\varepsilon \lambda } . |
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