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Computational Study of the Effects of Heat Generating Finned Annular Pipe on the Conjugate Heat Transfer

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Progress in Clean Energy, Volume 1

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Abstract

In this work, we numerically study the effects of heat generating fins in an annular pipe on the three-dimensional conjugate heat transfer: conduction in the solid and mixed convection in the working fluid. The horizontal annular pipe is equipped by longitudinal attached fins on internal surface of outer cylinder. The external pipe and the fins are heated by an electrical current passing through their small thickness. The number of longitudinal fins studied is: 2 vertical, 4 and 8 fins. The convection in the fluid domain is conjugated to thermal conduction in the pipes and fins solid thickness. The physical properties of the fluid are thermal dependent. The heat losses from the external pipe surface to the surrounding ambient are considered. The model equations of continuity, momenta, and energy are numerically solved by a finite volume method with a second-order spatiotemporal discretization. The obtained results showed that the axial Nusselt number increases with the increasing of number and height of fins. The participation of fins located in the lower part of the tube on the improvement of heat transfer is higher than the participation of the upper fins.

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Abbreviations

D :

Diameter (m)

g :

Gravitational acceleration (m/s2)

G :

Volumetric heat source (W/m3)

h :

Heat transfer coefficient (W/m2°C)

k :

Thermal conductivity (W/m°C)

L :

Length (m)

Nu :

Nusselt number

P :

Pressure (N/m2)

Pr :

Prandtl number

r :

Radial coordinate (m)

Ra :

Rayleigh number

Re :

Reynolds number

t :

Time, s

T :

Temperature (°K)

U :

Radial velocity component (m/s)

V :

Axial velocity component (m/s)

W :

Angular velocity component (m/s)

z :

Axial coordinate (m)

α :

Thermal diffusivity, (m2/s)

β :

Thermal expansion coefficient, (1/°K)

ε :

Emissivity coefficient

μ :

Dynamic viscosity, (kgċm/s)

θ :

Angular coordinate, (rad)

τ :

Viscous stress, (N/m2)

ρ :

Density, (kg/m3)

b :

Bulk

i, o :

Reference to the inner and outer surface of the duct, respectively

m :

Mean

r, θ, z :

Reference to the radial, angular and axial direction, respectively

0 :

Duct inlet

∞:

Ambient air away from the outer wall

*:

Nondimensional

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Authors and Affiliations

  1. Energy Physics Laboratory, Department of Physics, Faculty of Exact Science, Constantine 1 University, Constantine, Algeria

    Sofiane Touahri & Toufik Boufendi

Authors
  1. Sofiane Touahri
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  2. Toufik Boufendi
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Corresponding author

Correspondence to Toufik Boufendi .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of Ontario, Oshawa, Ontario, Canada

    Ibrahim Dincer

  2. Department of Mechanical Engineering, Dokuz Eylul University, Izmir, Turkey

    C. Ozgur Colpan

  3. Department of Energy Systems Engineering, Suleyman Demirel University, Isparta, Turkey

    Onder Kizilkan

  4. Department of Mechanical Engineering, Dokuz Eylul University, Izmir, Turkey

    M. Akif Ezan

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Touahri, S., Boufendi, T. (2015). Computational Study of the Effects of Heat Generating Finned Annular Pipe on the Conjugate Heat Transfer. In: Dincer, I., Colpan, C., Kizilkan, O., Ezan, M. (eds) Progress in Clean Energy, Volume 1. Springer, Cham. https://doi.org/10.1007/978-3-319-16709-1_25

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  • DOI: https://doi.org/10.1007/978-3-319-16709-1_25

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16708-4

  • Online ISBN: 978-3-319-16709-1

  • eBook Packages: EnergyEnergy (R0)

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