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Natural convection heat transfer from a single and multiple heated thin cylinders in water

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Abstract

Natural convection heat transfer from a single heated cylinder and three heated cylinders in an assembly of nine cylinders immersed in water is investigated at different heat flux values. The thin cylinders are assembled in three by three array of square pitch having a pitch to diameter ratio of 2. Empirical correlations for the overall Nusselt number versus average modified Rayleigh number are obtained and compared to the literature’s correlations.

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Abbreviations

A s :

Surface area of cylinder, m2

cp :

Specific heat capacity of water, J/kg °C

d :

Diameter of cylinder, m

Gr :

Grashof number

Gr* :

Modified Grashof number

g :

Gravitational acceleration, m/s2

h :

Heat transfer coefficient, W/m2 °C

k :

Thermal conductivity, W/m °C

L :

Total heated length of the cylinder, m

Nu :

Nusselt number

p :

Pitch of cylinders array (center to center distance between two cylinders), m

Pr :

Prandtl number

Q :

Rate of heat transfer, W

\( {\acute{q}} \) :

Heat flux, W/m2

r :

Radius of coordinate

Ra :

Rayleigh number

Ra* :

Modified Rayleigh number

T :

Temperature, °C

T b :

Bulk temperature of water, °C

T f :

Film temperature, °C

T s :

Surface temperature, °C

u, v :

Velocity components, m/s

x :

Local length of cylinder/ spatial coordinate, m

α:

Thermal diffusivity, m2/s

β :

Volumetric thermal expansion coefficient (1/Tb), 1/K

∆:

Difference

ν :

Kinematic viscosity of water, m2/s

L :

Average value

s :

Surface value

x :

Local value

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Authors and Affiliations

  1. College of Engineering, Al-Nahrain University, P.O. Box 64040, Baghdad, Iraq

    Abdul Jabbar N. Khalifa & Zaid Ali Hussien

Authors
  1. Abdul Jabbar N. Khalifa
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  2. Zaid Ali Hussien
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Correspondence to Abdul Jabbar N. Khalifa.

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Khalifa, A.J.N., Hussien, Z.A. Natural convection heat transfer from a single and multiple heated thin cylinders in water. Heat Mass Transfer 51, 1579–1586 (2015). https://doi.org/10.1007/s00231-015-1524-4

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  • DOI: https://doi.org/10.1007/s00231-015-1524-4

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