Fully developed laminar slip and no-slip flow in rough microtubes

Journal article

Authors / Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Akyildiz FT, Siginer DA

Publisher: Birkhäuser Verlag

Place: BASEL

Publication year: 2011

Journal: Journal of Applied Mathematics and Physics (0044-2275)

Journal acronym: Z ANGEW MATH PHYS

Volume number: 62

Issue number: 4

Start page: 741

End page: 748

Number of pages: 8

ISSN: 0044-2275

eISSN: 1420-9039

Languages: English-Great Britain (EN-GB)

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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 = R[1 + epsilon sin(lambda theta)], with R representing the reference radius and epsilon and lambda 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 epsilon lambda. The analytical solution collapses onto the perturbation solution of Duan and Muzychka (J. Fluids Eng., 130: 031102, 2008) for small enough values of epsilon lambda.

Keywords

Friction factor, Galerkin and Tau method, Newtonian fluid, Rough microtubes, Semi-analytical solution

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