International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2575

Full Length Research Paper

Slip flow of a second grade fluid past a lubricated rotating disc

K. Mahmood
  • K. Mahmood
  • Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan.
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M. Sajid
  • M. Sajid
  • Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan.
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N. Ali
  • N. Ali
  • Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan.
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T. Javed
  • T. Javed
  • Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan.
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  •  Received: 01 January 2016
  •  Accepted: 31 March 2016
  •  Published: 30 April 2016

Abstract

Slip flow of a second-grade fluid past a lubricated rotating disc is studied. The disc is lubricated with a power-law fluid. The interfacial conditions between fluid and lubricant are imposed on the surface of disc by assuming a thin lubrication layer. The numerical solutions are obtained using Keller-Box method. The effects of slip parameter and Weissenberg number on the three components of fluid velocity and pressure are analyzed graphically while effects on both components of skin friction are demonstrated through tables. The computed results show that spin-up by a second grade bulk fluid near the rotating disc is reduced by increasing slip at the interface. The obtained solutions agree well in the special case with those of other researches.

 

Key words: Non-Newtonian power-law fluid, second grade fluid, rotating disc, slip boundary condition.