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Study on solid liquid interface heat transfer of PCM under simultaneous charging and discharging (SCD) in horizontal cylinder annulus

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Abstract

Heat transfer performance during the simultaneous charging and discharging (SCD) operation process for phase change materials (PCM) contained inside the annulus of concentric horizontal cylinder was investigated. In the experimental set-up, the PCM inside the annulus serves as the heat sink along with an externally imposed forced cooling air. The obtained time wise temperature profile was used to determine the effects of different heat fluxes and the imposed forced convection cooling on the melt fraction values and the transition shift time from the observed conduction to natural convection heat transfer patterns. Furthermore, non-dimensional analysis was presented for the heat transfer at the interface to enable generalizing the result. Comparison of the results show that the SCD operation mode establish the condition that enables much PCM phase transition time and thus longer time of large latent heat transfer effect than the Partial and non simultaneous operations. Analysis results show that the variation of the heat flux for the SCD mode did not change the dominance of the natural convection over conduction heat transfers in the PCM. However, it significantly influences the commencement/transition shift time and melting rate while higher heat fluxes yields melt fraction that was 38–63% more for investigated process time. Variation with different cooling air flow rate shows more influences on the melt fraction than on the mode of heat transfer occurring in the PCM during melting. Available non-SCD modes correlation was shown to be insufficient to accurately predict interface heat transfer for the SCD modes.

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Abbreviations

c :

Specific heat (J/kg)

CHTF :

Cold heat transfer fluid

d :

Distance (m)

Fo :

Fourier number

g :

Gravitational acceleration

h :

Convective heat transfer coefficient (W/m2k)

HHTF :

Hot heat transfer fluid

k :

Thermal conductivity (W/mk)

Nu :

Nusselt number

Pr :

Prandtl number

q w :

Heat flux (W/m2)

Ra sl :

Rayleigh number at the interface

r c :

Characteristic radius due to melting front

r :

Inner cylinder radius (m)

R :

Outer cylinder radius (m)

Ste :

Stephan number

T :

Temperature (°C)

t :

Time, s

mf :

Melt fraction

u :

Velocity (m/s)

V :

Volume (m3)

∆H sl :

Latent heat of fusion (J/kg)

0°, 90°, 180°, 270° :

Radial angles

μ :

Dynamic viscosity of the fluid

ρ :

Density (kg/m3)

τ :

Dimensionless time

ʋ :

Kinematics viscosity

ß :

Thermal expansion coefficient

α :

Thermal diffusivity

a :

Air

ai :

Air in

a :

Air out

i :

Inner

l :

Liquid

m :

Melting point/melt

o :

Outer

p :

pcm

s :

Solid

sl :

Solid–liquid interface/melting front/interface position/melt thickness

srf :

Surface

T :

Total

w :

Wall

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Acknowledgements

This research work is supported by the Sächsisches state innovations scholarship No: L-201318.

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Authors and Affiliations

  1. Institüt für Energietechnik, Technische Universität Dresden, 01069, Dresden, Germany

    Adebola Peter Omojaro & Cornelia Breitkopf

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  1. Adebola Peter Omojaro
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Correspondence to Adebola Peter Omojaro.

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Omojaro, A.P., Breitkopf, C. Study on solid liquid interface heat transfer of PCM under simultaneous charging and discharging (SCD) in horizontal cylinder annulus. Heat Mass Transfer 53, 2223–2240 (2017). https://doi.org/10.1007/s00231-017-1971-1

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  • DOI: https://doi.org/10.1007/s00231-017-1971-1

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