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Numerical investigation of serrated fins on natural convection from concentric and eccentric annuli with different cross sections

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Abstract

In this paper, the effect of internal serrated fins and eccentricity on natural convection heat transfer between annular spaces with the equivalent circular, square, and triangular cross sections has been studied numerically using control volume method. The annuli’s inner and outer walls were maintained at different uniform temperatures of 373 and 327 K, respectively, and Rayleigh number ranges were 105 ≤ Ra ≤ 108. According to the results, although heat transfer coefficient was reduced between the space of fins, fins increased the total heat transfer of both inner and outer walls of annuli. The best heat transfer rate belongs to reverse triangular annulus when fins were mounted on the inner wall. As an example, heat transfer of inner wall of reverse triangular annulus was, respectively, increased about 31 and 10% at Ra = 105 and 108, when serrated fins were mounted on the inner wall. In addition, fin efficiency of inner and outer walls was decreased with the increase in Rayleigh number. Nevertheless, thermal efficiency of reverse triangular annulus was uppermost at all Rayleigh numbers compared to other ones. In addition, eccentric annuli showed better heat transfer rate than concentric ones, in which cases 3.5 and 6.7% thermal improvements have been obtained for 0.6 and 1 mm downward movement of the inner wall at Ra = 108, respectively.

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Abbreviations

d h :

Hydraulic diameter (m)

e :

Eccentricity

Gr :

Grashof number

K :

Thermal conductivity (W m−1 K−1)

L :

Length (m)

Nu :

Nusselt number

p :

Pressure (Pa)

Pr :

Prandtl number

Q :

Heat transfer (W)

Ra :

Rayleigh number

T :

Temperature (K)

u :

x Component of velocity (m s−1)

v :

y Component of velocity (m s−1)

α :

Thermal diffusivity

β :

Thermal expansion factor (1/K)

υ :

Kinematic viscosity (m2 s−1)

ρ :

Density (kg m−3)

μ :

Dynamic viscosity (kg m−1 s−1)

ε :

Fin efficiency

i :

Inner surface

o :

Outer surface

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Authors and Affiliations

  1. Department of Mechanical and Energy Engineering, University of North Texas, Denton, TX, USA

    Arash Shadlaghani & Mahsa Farzaneh

  2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran

    Mohammad Shahabadi & Mohammad Reza Tavakoli

  3. Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Mohammad Reza Safaei

  4. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Mohammad Reza Safaei

  5. Department of Civil Engineering, Faculty of Engineering Building, University of Malaya, Kuala Lumpur, Malaysia

    Iman Mazinani

Authors
  1. Arash Shadlaghani
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  2. Mahsa Farzaneh
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  3. Mohammad Shahabadi
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  4. Mohammad Reza Tavakoli
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  5. Mohammad Reza Safaei
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  6. Iman Mazinani
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Correspondence to Mohammad Reza Safaei.

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Shadlaghani, A., Farzaneh, M., Shahabadi, M. et al. Numerical investigation of serrated fins on natural convection from concentric and eccentric annuli with different cross sections. J Therm Anal Calorim 135, 1429–1442 (2019). https://doi.org/10.1007/s10973-018-7542-y

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  • DOI: https://doi.org/10.1007/s10973-018-7542-y

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