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Unsteady Unidirectional Flow of Second-Grade Fluid through a Microtube with Wall Slip and Different Given Volume Flow Rate

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  • Cha'o-Kuang Chen
  • Hsin-Yi Lai
  • Wei-Fan Chen

Abstract

The second-grade flows through a microtube with wall slip are solved by Laplace transform technique. The effects of rarefaction and elastic coefficient are considered with an unsteady flow through a microtube for a given but arbitrary inlet volume flow rate with time. Five cases of inlet volume flow rate are as follows: (1) trapezoidal piston motion, (2) constant acceleration, (3) impulsively started flow, (4) impulsively blocked fully developed flow, and (5) oscillatory flow. The results obtained are compared to those solutions under no-slip and slip condition.

Suggested Citation

  • Cha'o-Kuang Chen & Hsin-Yi Lai & Wei-Fan Chen, 2010. "Unsteady Unidirectional Flow of Second-Grade Fluid through a Microtube with Wall Slip and Different Given Volume Flow Rate," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-17, November.
  • Handle: RePEc:hin:jnlmpe:416837
    DOI: 10.1155/2010/416837
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