Technical Briefs

Heat Transfer to Blood Flow in a Small Tube

[+] Author and Article Information
C. Y. Wang

Department of Mathematics, and Department of Physiology, Michigan State University, East Lansing, MI 48824

J Biomech Eng 130(2), 024501 (Mar 21, 2008) (3 pages) doi:10.1115/1.2898722 History: Received March 15, 2006; Revised December 04, 2007; Published March 21, 2008

Blood flow in a small tube (301000μm) can be successfully modeled by the two-fluid model. The fully developed, constant heat flux convective heat transfer problem is studied. The velocity and temperature profiles are determined in closed form. Formulas for friction-factor-Reynolds number product, axial temperature gradient, and Nusselt number are found.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 5

Nusselt number Nu as function of λ for various constant α(β=γ=1)

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Figure 4

The resistance fRe as functions of λ for various constant α(β=γ=1)

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Figure 3

Comparison of velocity profiles: (a) 48μ tube, 39.5% Hct and (b) 127μ tube, 30% Hct. Dashed curve: Poiseuille parabolic profile; solid curve: two-fluid profile; circles: experiments of Ref. 14. Velocities are normalized with the centerline velocity.

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Figure 2

Variation of viscosity ratio α and thickness parameter t as a function of hematocrit. Triangle are fitted values to experiments compiled in Ref. 9.

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Figure 1

Axial cross section of tube showing two fluids



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