Magnetic field and endoscope influences on peristaltic transport: An exact solution

T. Hayat, S. Abelman, E. Momoniat, F. M. Mahomed

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The effect of magnetic field on peristaltic flow through the gap between uniform tubes is studied under the assumption of long wavelength at low Reynolds number. The inner tube is rigid and the outer tube has a sinusoidal wave travelling down its wall. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The analytical solution for velocities and pressure gradient is derived. The effects of magnetic field and an endoscope on the velocities, pressure gradient, pressure rise and frictional forces on the inner and outer tubes are examined.

Original languageEnglish
Pages (from-to)638-657
Number of pages20
JournalMathematical and Computational Applications
Volume15
Issue number4
DOIs
Publication statusPublished - 2010
Externally publishedYes

Keywords

  • Endoscope
  • Long wavelength
  • Low Reynolds number
  • Peristalsis modelling
  • Velocity profiles

ASJC Scopus subject areas

  • General Engineering
  • Computational Mathematics
  • Applied Mathematics

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