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Heat and Mass Transfer

, Volume 39, Issue 4, pp 313–320 | Cite as

The extended Graetz problem with piecewise constant wall heat flux for laminar and turbulent flows inside concentric annuli

  •  B. Weigand
  •  F. Wrona
Original

Abstract.

In the present paper, the heat transfer characteristics in the thermal entrance region of concentric annuli have been analysed for laminar and turbulent internal flow. Axial heat conduction effects in the fluid have been taken into account. The present paper shows an exact analytical solution for the problem of a piecewise uniform wall heat flux. The obtained analytical solution for the extended Graetz problem is as simple and efficient to compute as the related solution of the parabolic problem. The obtained results show the effect of axial heat conduction in the fluid for a semi-infinite heated section as well as for a finite length of the heated section. It is shown, that for a finite length of the heated section, axial heat conduction effects might be important even for higher Peclet number.

Keywords

Peclet Number Finite Length Heat Transfer Characteristic Parabolic Problem Exact Analytical Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  •  B. Weigand
    • 1
  •  F. Wrona
    • 1
  1. 1.University of Stuttgart, Germany

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