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Convection and heat transfer of elliptical tubes

Konvektion und Wärmeübergang an elliptischen Rohren

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Abstract

Convection heat transfer (including natural and forced convection) of elliptical tubes had been studied system-atically. The experienced formula of heat transfer had been given. It presents fin efficiency of rectangular finned elliptical tube and optimized fin geometry (i.e. length/width ratio) and fin spacing for rectangular fin.

Zusammenfassung

Konvektion und Wärmeübergang (sowohl bei freier als auch bei erzwungener Konvektion) an elliptischen Rohren wurden systematisch untersucht. Es wird eine aus dem Experiment abgeleitete Beziehung für den Wärmeübergang angegeben, die den Gütegrad elliptischer Rohre mit Rechteckrippen unter optimierter Rippengeometrie (Längen- zu Breitenverhältnis und Rippenabstand) beinhaltet. Stichworte: Konvektiver Wärmeübergang, Rippengütegrad, Elliptische Rohre mit Rechteckrippe.

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Abbreviations

A :

length of a rectangular fin

A F :

\( = AB = \frac{\pi }{4}ab\) area of a fin

A f :

overall fin area of per length

A r :

tube surface of per length

B :

width of a rectangular fin

Gr :

\( = \frac{{\beta g\Delta T \cdot l^3 }}{{v^2 }}\) Grashof number

N :

fin number of per length

Nu :

=hl/λ Nusselt number

Pr :

Prandtl number

Ra :

=Gr·Pr Rayleigh number

Re :

=wl/ν Reynolds number

S 1 :

transverse tube pitch

S 2 :

longitudinal tube pitch

w :

fluid velocity

a :

long axis of a ellipse

b :

short axis of a ellipse

c :

=a/b shape factor

d e :

equivalent diameter

g :

acceleration of gravity

h :

heat exchange coefficient

l :

characteristic length

t :

fin spacing

β:

coefficient of thermal expansion

δ:

fin thickness

η fm :

area average fin efficiency

λ:

coefficient of fluid thermal conductivity

λ f :

fin's thermal conductivity

ν:

kinematic viscosity

References

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  2. Huang, S.;Yan, J. Heat Transfer of a Elliptic Tube in Across Flow. Fluid Engineering 10 (1984) 11–15

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  3. Huang, S. Heat Transfer of a Finned Elliptic Tube in Across Flow. Fluid Engineering, 10 (1987) 56–59

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  4. Huang, S.;Yan, J. Heat Transfer of Finned Elliptic Tube Banks in Across. Proc. of Engineering Thermophysics, Science Press, Beijing, 1988, 249–252

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  5. Kraus, A. D. Extended Surfaces. Clever-Hume Press, Kondom, 1964, chapter 2

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  6. Chuchill, S. M.;Usagai, R. A. General Expression for the Correlation of Rates of Transfer and Other Phenomena. A.l.Ch.E. Journal 18(6) (1992) 1121–1128

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Author information

Authors and Affiliations

  1. Department of Power Engineering, Huazhong University of Science and Technology, 430074, Wuhan, Hubei, P.R. China

    Huang Suyi

  2. Wuhan Institute of Chemical Technology, 430074, Wuhan, Hubei, P.R. China

    Pu Shizhou

Authors
  1. Huang Suyi
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  2. Pu Shizhou
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Suyi, H., Shizhou, P. Convection and heat transfer of elliptical tubes. Heat and Mass Transfer 30, 411–415 (1995). https://doi.org/10.1007/BF01647445

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  • DOI: https://doi.org/10.1007/BF01647445

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