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

Cha'o-Kuang Chen, Hsin-Yi Lai and Wei-Fan Chen

Mathematical Problems in Engineering, 2010, vol. 2010, 1-17

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:416837

DOI: 10.1155/2010/416837

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