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Flow of a Burger’s Fluid in a Channel Induced by Peristaltic Compliant Walls

Author

Listed:
  • I. Ahmad
  • N. Ali
  • A. Abbasi
  • W. Aziz
  • M. Hussain
  • M. Ahmad
  • M. Taj
  • Q. Zaman

Abstract

A theoretical analysis is presented for the peristaltic motion of a magneto‐hydrodynamic (MHD) non‐Newtonian fluid in channel with complaint walls. The fluid obeys viscoelastic non‐Newtonian model with Burger’s constitutive equation. The relevant equations are first developed and then solved using perturbation technique. Expressions of stream function and velocity components are constructed under the assumption that δ (characteristic ratio of transversal and axial scales of peristaltic motion) is small. The results indicate the strong effects of Burger’s fluid parameter, Hartman number, Reynolds number, and complaint wall parameters on the velocity field and stream function. The obtained solutions are shown graphically for the different values of involved parameters.

Suggested Citation

  • I. Ahmad & N. Ali & A. Abbasi & W. Aziz & M. Hussain & M. Ahmad & M. Taj & Q. Zaman, 2014. "Flow of a Burger’s Fluid in a Channel Induced by Peristaltic Compliant Walls," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:236483
    DOI: 10.1155/2014/236483
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    References listed on IDEAS

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    1. Ali, Nasir & Hayat, Tasawar & Asghar, Saleem, 2009. "Peristaltic flow of a Maxwell fluid in a channel with compliant walls," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 407-416.
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