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Electroosmotic flow of viscoelastic fluids through a slit microchannel with a step change in wall temperature

Sadeghi, A ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1115/1.4007414
  3. Publisher: 2013
  4. Abstract:
  5. Thermally developing electroosmotically generated flow of two viscoelastic fluids, namely the PTT and FENE-P models, through a slit microchannel is considered. Both the viscous dissipation and Joule heating effects are taken into account and a step change in wall temperature is considered to represent physically conceivable thermal entrance conditions. Expressions for the dimensionless temperature and Nusselt number in the form of infinite series are presented. In general, the resultant eigenvalue problem is solved numerically; nevertheless, an analytical solution is presented for the regions close to the entrance. A parametric study reveals that increasing amounts of the Peclet number result in higher wall heat fluxes. The results also indicate higher wall heat fluxes for non-Newtonian fluids in comparison with Newtonian fluids and the difference is increased with increasing the level of elasticity. Furthermore, based on the value of the dimensionless Joule heating parameter, the Nusselt number may be either an increasing or a decreasing function of the axial coordinate or even both of them in the presence of a singularity point. The viscous heating effects are also found to be negligible
  6. Keywords:
  7. microchannel ; PENE-P model ; PTT model ; Axial coordinates ; Decreasing functions ; Eigenvalue problem ; Electroosmotic flow ; FENE-P model ; Infinite series ; Joule heating effect ; Newtonian fluids ; Non-Newtonian fluids ; Parametric study ; Singularity point ; Step changes ; Thermal entrance ; Visco-elastic fluid ; Viscous dissipation ; Viscous heating effects ; Wall heat flux ; Wall temperatures ; Eigenvalues and eigenfunctions ; Elasticity ; Electroosmosis ; Forced convection ; Heat flux ; Joule heating ; Non Newtonian liquids ; Nusselt number ; Viscous flow ; Microchannels
  8. Source: Journal of Heat Transfer ; Volume 135, Issue 2 , 2013 ; 00221481 (ISSN)
  9. URL: http://heattransfer.asmedigitalcollection.asme.org/article.aspx?articleid=1666584