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Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

  • R. Ellahi
  • , E. Shivanian
  • , S. Abbasbandy
  • , T. Hayat
  • International Islamic University Islamabad
  • University of California
  • Imam Khomeini International University
  • Quaid-I-Azam University
  • King Abdulaziz University

Research output: Contribution to journalArticlepeer-review

123 Scopus citations

Abstract

Purpose-The purpose of this paper is to study the generalized Couette flow of Eyring-Powell fluid. The paper aims to discuss diverse issues befell for the heat transfer, magnetohydrodynamics and slip. Design/methodology/approach-A hybrid technique based on pseudo-spectral collocation is applied for the solution of nonlinear resulting system. Findings-Viscous fluid results which are yet not available can be taken as a limiting case of presented problem. The results for the case of Hartmann flow can be obtained as a special case when plate velocity is zero, i.e. pressure gradient induced flow. The results for the zero fluid slip and no thermal slip also become special cases of this work, and the results can be recovered by setting, and to zero. These solutions are valid not only for small but also for large values of all emerging parameters. Originality/value-This model is investigated for the first time, as the authors know.

Original languageEnglish
Pages (from-to)1433-1445
Number of pages13
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume26
Issue number5
DOIs
StatePublished - 6 Jun 2016
Externally publishedYes

Keywords

  • Chebyshev-Gauss-Lobatto points
  • Eyring-Powell fluid
  • Heat transfer
  • Least square method
  • MHD generalized Couette flow
  • Newton iteration method
  • Pseudo-spectral collocation method

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