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Data Definitions

This section collects and defines all the data needed to build the instance models.

Mass of water

Refname	DD:waterMass
Label	Mass of water
Symbol	${m_{\text{W}}}$
Units	${\text{kg}}$
Equation	${m_{\text{W}}}={V_{\text{W}}}\,{ρ_{\text{W}}}$
Description	${m_{\text{W}}}$ is the mass of water ( ${\text{kg}}$ ) ${V_{\text{W}}}$ is the volume of water ( ${\text{m}^{3}}$ ) ${ρ_{\text{W}}}$ is the density of water ( $\frac{\text{kg}}{\text{m}^{3}}$ )
Source	–
RefBy	FR:Find-Mass

Volume of water

Refname	DD:waterVolume.nopcm
Label	Volume of water
Symbol	${V_{\text{W}}}$
Units	${\text{m}^{3}}$
Equation	${V_{\text{W}}}={V_{\text{tank}}}$
Description	${V_{\text{W}}}$ is the volume of water ( ${\text{m}^{3}}$ ) ${V_{\text{tank}}}$ is the volume of the cylindrical tank ( ${\text{m}^{3}}$ )
Notes	Based on A:Volume-Coil-Negligible. ${V_{\text{tank}}}$ is defined in DD:tankVolume.
Source	–
RefBy	FR:Find-Mass

Volume of the cylindrical tank

Refname	DD:tankVolume
Label	Volume of the cylindrical tank
Symbol	${V_{\text{tank}}}$
Units	${\text{m}^{3}}$
Equation	${V_{\text{tank}}}=π\,\left(\frac{D}{2}\right)^{2}\,L$
Description	${V_{\text{tank}}}$ is the volume of the cylindrical tank ( ${\text{m}^{3}}$ ) $π$ is the ratio of circumference to diameter for any circle (Unitless) $D$ is the diameter of tank ( ${\text{m}}$ ) $L$ is the length of tank ( ${\text{m}}$ )
Source	–
RefBy	DD:waterVolume_nopcm and FR:Find-Mass

ODE parameter for water related to decay time

Refname	DD:balanceDecayRate
Label	ODE parameter for water related to decay time
Symbol	${τ_{\text{W}}}$
Units	${\text{s}}$
Equation	${τ_{\text{W}}}=\frac{{m_{\text{W}}}\,{C_{\text{W}}}}{{h_{\text{C}}}\,{A_{\text{C}}}}$
Description	${τ_{\text{W}}}$ is the ODE parameter for water related to decay time ( ${\text{s}}$ ) ${m_{\text{W}}}$ is the mass of water ( ${\text{kg}}$ ) ${C_{\text{W}}}$ is the specific heat capacity of water ( $\frac{\text{J}}{\text{kg}{}^{\circ}\text{C}}$ ) ${h_{\text{C}}}$ is the convective heat transfer coefficient between coil and water ( $\frac{\text{W}}{\text{m}^{2}{}^{\circ}\text{C}}$ ) ${A_{\text{C}}}$ is the heating coil surface area ( ${\text{m}^{2}}$ )
Source	koothoor2013
RefBy	IM:eBalanceOnWtr and FR:Output-Input-Derived-Values