This section collects and defines all the data needed to build the instance models.
| 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 |
| 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 |
|
| Source | – |
| RefBy | FR:Find-Mass |
| 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 | FR:Find-Mass and DD:waterVolume_nopcm |
| 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 |