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

F. Talay Akyildiz; Dennis A. Siginer

doi:10.1007/s00033-011-0144-1

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

F. Talay Akyildiz, Dennis A. Siginer

Mechanical, Energy & Industrial Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The effect of surface roughness on developed laminar flow in microtubes is investigated. The tube boundary is defined by, with R representing the reference radius 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. The analytical solution collapses onto the perturbation solution ofDuan and Muzychka (J. Fluids Eng., 130:031102, 2008) for small enough values of.

Original language	English
Pages (from-to)	741-748
Number of pages	8
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	62
Issue number	4
DOIs	https://doi.org/10.1007/s00033-011-0144-1
Publication status	Published - Aug 1 2011

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1007/s00033-011-0144-1

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abstract = "The effect of surface roughness on developed laminar flow in microtubes is investigated. The tube boundary is defined by, with R representing the reference radius 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. The analytical solution collapses onto the perturbation solution ofDuan and Muzychka (J. Fluids Eng., 130:031102, 2008) for small enough values of.",

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AB - The effect of surface roughness on developed laminar flow in microtubes is investigated. The tube boundary is defined by, with R representing the reference radius 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. The analytical solution collapses onto the perturbation solution ofDuan and Muzychka (J. Fluids Eng., 130:031102, 2008) for small enough values of.

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

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