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Slug flow heat transfer in ducts of regular polygonal cross section

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Abstract

Nusselt numbers for slug-flow heat transfer in regular polygonal ducts for the case of uniform wall temperature have been calculated by means of the point-matching method. The Nusselt values vary from 4.38 for the triangular duct up to 5.78 for the circular duct.

Zusammenfassung

Nusselt-Zahlen für den Wärmeübergang bei Kolbenströmung in Kanälen mit regelmäßigem Vieleckquerschnitt wurden mittels des Point-Matching-Verfahrens für den Fall gleichförmiger Wandtemperatur bestimmt. Die erhaltenen Nusselt-Zahlen variieren von 4,38 für den Dreieckkanal bis 5,78 für das Kreisrohr.

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Abbreviations

C n :

coefficients

D e :

equivalent or hydraulic diameter (=2R for the regular polygon)

I :

number of angular zones

J Np :

Bessel function of the first kind of orderN p

j 0=2.404825:

zero of the Bessel function of the first kind of order zero

N :

number of vertices

N u :

Nusselt number

p :

integer

Pe :

Peclet number

R :

radius of the inscribed circle of the polygon

r :

radial coordinate

T :

temperature

u :

velocity

z :

axial coordinate

α :

thermal diffusivity

ϑ :

dimensionless temperature

ξ=4z/D e Pe :

dimensionless axial coordinate

λ n :

eigenvalue

ϱ=r/R :

dimensionless radial coordinate

Φ n :

eigenfunction

φ :

angular coordinate

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Authors and Affiliations

  1. Berlin

    K. Johannsen & L. Wolf

Authors
  1. K. Johannsen
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  2. L. Wolf
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Johannsen, K., Wolf, L. Slug flow heat transfer in ducts of regular polygonal cross section. Wärme- und Stoffübertragung 2, 147–149 (1969). https://doi.org/10.1007/BF00751161

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  • DOI: https://doi.org/10.1007/BF00751161

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