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Natural convection heat transfer from horizontal concentric and eccentric cylinder systems cooling in the ambient air and determination of inner cylinder location

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Abstract

Heat transfer characteristics of horizontal copper concentric cylinders in the case of natural convection was investigated numerically and experimentally. While the inner cylinder had an electric heater to keep it at a constant temperature, annulus was filled with water. There were two different test sections as bare and concentric cylinder systems located in different ambient temperatures in a conditioned room for the comparison of the results. Comparison of average Nusselt numbers for the air side of the concentric cylinder system and the effective thermal conductivity of the annulus were calculated with both experimental data, numerical results and a well-known correlation. Annulus and the air side isotherms and streamlines are shown for RaL = 9 × 105–5 × 106 and Ra = 2 × 105–7 × 105 respectively. Additionally, a numerical study was conducted by forming eccentric cylinder systems to determine the optimum location of inner cylinder to maximize the heat transfer rate. Comparison of heat transfer rates from bare and concentric horizontal cylinders were done under steady state conditions. Heat transfer enhancement, the effect of the decrease in condensing temperature of the inner cylinder surface on COP of an ideal Carnot refrigeration cycle and rise in COP were determined in the study. Also the optimum location of inner cylinder to maximize the heat transfer rate was determined as at the bottom quadrant of outer cylinder.

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Abbreviations

2D:

Two dimensional

A:

Heat transfer area (m2)

CECED:

European committee of domestic equipment manufacturers

CFD:

Computational fluid dynamics

D:

Cylinder diameter (m)

DC:

Direct current

Fcyl :

Geometric factor for concentric cylinders

Gr:

Grashof number

h:

Heat transfer coefficient (W m−2 K−1)

I:

Heater current (A)

k:

Thermal conductivity (W m−1 K−1)

keff :

Effective thermal conductivity (W m−1 K−1)

L:

Length along cylinder (m)

LDA:

Laser doppler anemometer

Nu:

Mean Nusselt number

Pr:

Prandtl number

Qcond :

Heat loss through conduction (W)

Qconv :

Heat loss through convection (W)

Qe :

Input electrical power (W)

Qrad :

Heat loss through radiation (W)

Ra:

Rayleigh number

T:

Temperature (°C)

V:

Heater voltage (V)

w:

Uncertainty

Di :

According to inner cylinder diameter

Do :

According to outer cylinder diameter

c:

Bare/inner cylinder surface

exp:

Experimental

i:

Inner

M:

Annulus average

num:

Numerical

o:

Outer

w:

Outer concentric cylinder surface

∞:

Ambient

ε:

Emissivity

ν:

Kinematic viscosity (m2 s−1)

θ:

Angle about cylinder center from bottom of cylinder

σ:

Stefan–Boltzmann constant = 5.67 × 10−8 W m−2 K−4

ρ:

Density (kg m−3)

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Acknowledgements

The researchers of this paper thankfully acknowledge the funding for the current research received from the Scientific and Technological Research Council of Turkey (TÜBİTAK) under Grant Number 107M536 and to Arçelik A. Ş. the foremost fridge firm of Turkey for the use of test devices and conditioned room.

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Authors and Affiliations

  1. Heat and Thermodynamics Division, Department of Mechanical Engineering, Faculty of Mechanical Engineering, Yildiz Technical University, 34349, Yildiz, Besiktas, Istanbul, Turkey

    Ş. Özgür Atayılmaz, Hakan Demir, Mustafa Kemal Sevindir, Özden Ağra, İsmail Teke & Ahmet Selim Dalkılıç

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  1. Ş. Özgür Atayılmaz
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  2. Hakan Demir
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  3. Mustafa Kemal Sevindir
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  4. Özden Ağra
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  5. İsmail Teke
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  6. Ahmet Selim Dalkılıç
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Correspondence to Ş. Özgür Atayılmaz or Ahmet Selim Dalkılıç.

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Atayılmaz, Ş.Ö., Demir, H., Sevindir, M.K. et al. Natural convection heat transfer from horizontal concentric and eccentric cylinder systems cooling in the ambient air and determination of inner cylinder location. Heat Mass Transfer 53, 2677–2692 (2017). https://doi.org/10.1007/s00231-017-2012-9

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