The exterior unsteady viscous flow and heat transfer due to a porous expanding or contracting cylinder

Chao Wang, Xinhui Si (Lead / Corresponding author), Yanan Shen, Liancun Zheng, Ping Lin

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Abstract

Since the vessels in the biological tissues are characterized by low seepage Reynolds numbers and contracting or expanding walls, more attention is paid on the viscous flow outside the porous pipe with small expansion or contraction. This paper presents a numerical solution of the flow and heat transfer outside an expanding or contracting porous cylinder. The coupled nonlinear similarity equations are solved by Bvp4c, which is a collocation method with MATLAB. The effects of the different physical parameters, namely the permeability Reynolds number,the expansion ratio and the Prandtl number, on the velocity and temperature distribution are obtained and the results are shown graphically.
Original languageEnglish
Pages (from-to)S279-S285
Number of pages7
JournalBio-medical Materials and Engineering
Volume26
Issue numbers1
DOIs
Publication statusPublished - 2015
Event4th International Conference on Biomedical Engineering and Biotechnology - Royalton Hotel, Shanghia, China
Duration: 18 Aug 201521 Aug 2015
http://2015.icbeb.org/

Keywords

  • Expanding porous cylinder
  • Expansion ratio
  • Similarity solution
  • Heat transfer

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