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. 2025 Jun 24;18(13):2998. doi: 10.3390/ma18132998
a Proportionality constant in the power law curve fit
Ao Outer surface area of the test tube (m2)
b Power law coefficient (−)
Bi Biot number
c Offset in the power law curve fit (W)
Cp Specific heat (kJ·kg−1·K−1)
dt Elemental change in time (second)
dT Elemental change in temperature (°C)
h Convective heat transfer coefficient (W·m−2·K−1)
ΔH Step enthalpy change (kJ·kg−1)
H Enthalpy (kJ·kg−1)
Hf Latent heat of fusion (kJ·kg−1)
H0 Reference enthalpy (kJ·kg−1)
I Area under the temperature–time curve (°C-sec)
k Thermal conductivity (W·m−1·K−1)
m Mass (gram)
N Number of PCM intervals
q Heat flow rate (W)
Ri Inner radius of the test tube (mm)
Ro Outer radius of the test tube (mm)
Rth Thermal resistance (°C·W−1)
t Time (second)
Δt Duration of the interval (second)
T Temperature (°C)
T¯ Average temperature (°C)
Tm Melting temperature (°C)
Ts Solidification temperature (°C)
TSC Supercooling temperature (°C)
ΔT Step change in temperature (°C)
ΔTint Minimum allowed temperature interval (°C)
Greek Symbols:
ε Standard uncertainty in temperature measurement (°C)
Subscripts:
Ambient
avg Average
cond Conduction
conv Convection
int Interval
l Liquid
m Melting point
pcm Phase change material
ref Reference
s Solid
sen Sensor
tube Test tube
Abbreviations:
CFD Computational fluid dynamics
CMC Carboxymethyl cellulose
DOE Department of Energy
DSC Digital scanning calorimetry
FEA Finite element analysis
HVAC Heating, ventilation, and air conditioning
IQR Interquartile range
JCGM Joint Committee for Guides in Metrology
PAM Polyacrylamide
PCM Phase change material
PDF Probability density function
SAT Sodium acetate trihydrate
SLM Shape language modeling
SPA Sodium polyacrylate
SSD Sodium sulfate decahydrate
TES Thermal energy storage