Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2740

Full Length Research Paper

Influence of heat and mass transfer on Phan-Thien-Tanner fluid model for blood flow through a tapered artery with a stenosis

Noreen Sher Akbar1*, S. Nadeem2 and Changhoon Lee3
1DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan. 2Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, 44000Pakistan. 3Department of Computational Science and Engineering, Yonsei University, Seoul, Korea.  
Email: [email protected]

  •  Accepted: 16 July 2012
  •  Published: 05 November 2012

Abstract

In the present investigation, we study the influence of heat and mass transfer on blood flow through tapered artery with a stenosis. The non-Newtonian nature of blood in small arteries is analyzed mathematically by considering the blood as Phan-Thien-Tanner fluid. The representation for the blood flow is through an axially symmetrical stenosis. Symmetry of the distribution of the wall shearing stress and resistive impedance and their growth with the developing stenosis is another important feature of our analysis. Exact solutions are evaluated for velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of tapered arteries (that is, converging tapering, diverging tapering, non tapered artery) are examined for different parameters of interest.

 

Key words: Phan-Thien-Tanner fluid, blood flow, tapered artery, stenosis, exact solutions, heat and mass transfer.