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

F. Talay Akyildiz, Dennis A. Siginer

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)741-748
Number of pages8
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume62
Issue number4
DOIs
Publication statusPublished - Aug 1 2011

Fingerprint

Slip Flow
slip flow
Slip
Rough
slip
Surface roughness
continuum flow
Semi-analytical Method
Tau Method
Perturbation Solution
friction factor
Galerkin method
Pressure Drop
Galerkin methods
Laminar Flow
Surface Roughness
pressure drop
laminar flow
Laminar flow
Galerkin Method

All Science Journal Classification (ASJC) codes

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

Cite this

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Fully developed laminar slip and no-slip flow in rough microtubes. / Akyildiz, F. Talay; Siginer, Dennis A.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 62, No. 4, 01.08.2011, p. 741-748.

Research output: Contribution to journalArticle

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