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Heat transfer in an oscillating vertical annular liquid column open to atmosphere

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Abstract

The heat transfer from a surface heated with constant heat flux to an oscillating vertical annular liquid column having an interface with the atmosphere is investigated experimentally in the present paper. The analysis is carried out for the case of different oscillation frequencies while the displacement amplitude remains constant. Based on the experimental data a correlation equation is obtained for the cycle-averaged Nusselt number as a function of kinetic Reynolds number.

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Abbreviations

A :

Cross-sectional area of liquid column (m2)

A o :

Dimensionless oscillation amplitude

A p :

Cross-sectional area of piston (m2)

c :

Specific heat of fluid (kJ/kg-K)

d :

Hydraulic diameter of test duct (m)

h :

Heat transfer coefficient (W/m2-K)

H 1, H 2 :

Cycle-averaged enthalpies 6 (J)

L :

Total distance from probe1 to probe2 (m)

l h :

Heater length (m)

l o :

Distance from probes to heater (m)

Pr :

Prandtl Number

Q k :

Total heat loss to environment over a cycle (J)

Q l :

Total heat transferred to water over a cycle (J)

q e :

Total wall heat flux (W)

q 1′′:

Heat flux from heater to control volume (W/m2)

q 2′′:

Heat flux from glass tube to environment (W/m2)

R :

Flywheel radius (m)

Re ω :

Kinetic Reynolds number

r 1 :

Inner radius of annulus (m)

r 2 :

Outer radius of annulus (m)

x m :

Oscillation amplitude (m)

t :

Time (s)

T :

Temperature

T a :

Ambient temperature (°C)

T b :

Bulk temperature (°C)

T ca :

Temperatures of the outer surface of glass tube corresponding to air region of the test section (°C)

T cl :

Temperatures of the outer surface of glass tube corresponding to water region of the test section (°C)

T 10 :

First probe temperatures (°C)

T 20 :

Second probe temperatures (°C)

T wo :

Space-cycle averaged wall temperatures (°C)

T 0 :

Averaged bulk temperature defined in 14 (°C)

u :

Mean velocity (m/s)

u m :

Maximum velocity (m/s)

y :

Vertical coordinate

y*:

Distance from reference to the meniscus (m)

z :

Interface position (m)

z 0 :

Oscillation axis or filling height (m)

δ:

Momentum boundary layer thickness (m)

ϕ:

Loss parameter defined in (8)

ρ:

Fluid density (kg/m3)

ω:

Angular frequency (rad/s)

l:

Liquid

a:

Air

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Acknowledgements

The present work was supported by ITU Institute of Science and Technology. Thesis support number : 1969.

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Authors and Affiliations

  1. Mechanical Engineering Faculty, Istanbul Technical University, 34437, Gumussuyu, Istanbul, Turkey

    Ünal Akdağ & Mustafa Özdemir

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  1. Ünal Akdağ
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  2. Mustafa Özdemir
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Correspondence to Ünal Akdağ.

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Akdağ, Ü., Özdemir, M. Heat transfer in an oscillating vertical annular liquid column open to atmosphere. Heat Mass Transfer 42, 617–624 (2006). https://doi.org/10.1007/s00231-005-0035-0

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