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Effects of partial slip on a fourth-grade fluid with variable viscosity: An analytic solution

  • S. Nadeem
  • , T. Hayat
  • , S. Abbasbandy
  • , M. Ali
  • Quaid-I-Azam University
  • Imam Khomeini International University

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

In this article we endeavour to analyse the flow and heat transfer characteristics in a fourth-grade fluid with variable viscosity. Two illustrative models of variable viscosity namely the Reynolds and Vogels are considered. The flow in a stationary cylinder is induced by a constant pressure gradient. Partial slip is taken into account at the wall of the cylinder. Analytic solutions of velocity and temperature are first developed and then discussed in each case.

Original languageEnglish
Pages (from-to)856-868
Number of pages13
JournalNonlinear Analysis: Real World Applications
Volume11
Issue number2
DOIs
StatePublished - Apr 2010
Externally publishedYes

Keywords

  • Fourth-grade fluid
  • Heat transfer
  • Partial slip
  • Variable viscosity

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