International Journal of
Science and Technology Education Research

  • Abbreviation: Int. J. Sci. Technol. Educ. Res.
  • Language: English
  • ISSN: 2141-6559
  • DOI: 10.5897/IJSTER
  • Start Year: 2010
  • Published Articles: 79

Full Length Research Paper

Unsteady flow through porous medium induced by periodically rotating half-filled horizontal concentric cylindrical annulus with heat transfer

Bhupendra Kumar Sharma1*, Pawan Kumar Sharma2 and R. C. Chaudhary3
  1Department of Mathematics, Birla Institute of Technology and Science, Pilani-33303, India. 2Department of Applied Mathematics, Amity School of Engineering and Techonology, 580 Delhi-Palam Vihar Road, U&I Building, Bijwasan, New Delhi, India. 3Department of Mathematics, University of Rajasthan, Jaipur- 302004, India.
Email: [email protected]

  •  Accepted: 02 November 2011
  •  Published: 31 December 2011

Abstract

 

This communication investigates the unsteady flow of viscous incompressible fluid through porous medium induced by periodically heated half filled concentric cylindrical annulus placed horizontally. The boundaries of the annulus are rotating periodically with different angular velocities in the same or opposite directions about their common axis. The governing equations are expressed in terms of stream function and vorticity functions. The analytical solutions have been obtained by expanding the variables in a power series of the annulus aspect ratio. The expressions for streamlines, temperature distribution and rate of heat transfer are obtained and the effects of various parameters upon them have been examined.

 

Key words: Incompressible fluid, porous medium.

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