WOLFRAM SYSTEMMODELER
ConvectionPipeTwoHeatPortPipe with convection and two surface heat ports |
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Wolfram Language
In[1]:=
SystemModel["SmartCooling.Components.ConvectionPipeTwoHeatPort"]
Out[1]:=
Information
This model represents a pipe model with convection. The component is modeled using the following partial models: SmartCooling.Interfaces.TwoPort and SmartCooling.Interfaces.PressureLoss. The supply of the heat flow rate from outside can be done through heatPort_a or through heatPort_b. The connector heatPort_a represents the connection directly to the medium and the connector heatPort_b represents the link to the inner pipe surface, respectively. Between these two heatPorts the convection happens according to the thermal equation for convection in a pipeline [1].
Figure 1, Relation between the Nusselt number of a medium in a component and the Reynolds number.
The relation of the Nusselt number of a medium in a component and the Reynolds number is calculated to determine the convective thermal conductance of the medium using the pipe geometry as shown in figure 1. The effects of laminar, transient and turbulent areas are considered in the calculation of the Nusselt number.
References
[1] VDI-Heat Atlas, Second Edition , Verlag Springer , 2010, ISBN 978-3-540-77876-9, G1, pages 693 ff.
Parameters (15)
| medium |
Value: SmartCooling.Medium.Medium() Type: Medium Description: medium type |
|---|---|
| m |
Value: medium.rho * area * length Type: Mass (kg) Description: medium mass |
| TStart |
Value: Type: Temperature (K) Description: medium initial temperature |
| m_flowLam |
Value: Type: MassFlowRate (kg/s) Description: laminar mass flow |
| dpLam |
Value: Type: Pressure (Pa) Description: laminar pressure loss |
| m_flowNom |
Value: Type: MassFlowRate (kg/s) Description: nominal mass flow |
| dpNom |
Value: Type: Pressure (Pa) Description: nominal pressure loss |
| k |
Value: (dpNom - dpLam / m_flowLam * m_flowNom) / (m_flowNom - m_flowLam) ^ 2 Type: Real |
| length |
Value: Type: Length (m) Description: pipe length |
| area |
Value: Type: Area (m²) Description: pipe area |
| perimeter |
Value: Type: Length (m) Description: pipe perimeter |
| conductiveArea |
Value: length * perimeter / 2 Type: Area (m²) Description: thermally conductive pipe area 1 |
| conductiveArea2 |
Value: length * perimeter / 2 Type: Area (m²) Description: thermally conductive pipe area 2 |
| dh |
Value: 4 * area / perimeter Type: Diameter (m) Description: pipe hydraulic diameter |
| dhpl |
Value: dh / length Type: Real Description: pipe heat transfer coefficient, (dh / length) |
Outputs (12)
| Nu_m_del_1 |
Type: Real |
|---|---|
| Nu_m_del_2 |
Type: Real |
| Nu_m_del_3 |
Type: Real |
| Nu_m_del |
Type: Real |
| Nu_m_L_2300 |
Type: Real |
| Nu_m_del_2_2300 |
Type: Real |
| Nu_m_del_3_2300 |
Type: Real |
| Nu_m_T_10h4 |
Type: Real |
| gama_C |
Type: Real |
| Nu_m |
Type: Real |
| eta_T |
Type: Real |
| Nu_m_T |
Type: Real |
Connectors (5)
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flowPort_a |
Type: FlowPort_a Description: flow port a |
|---|---|---|
 |
flowPort_b |
Type: FlowPort_b Description: flow port b |
 |
heatPort_a |
Type: HeatPort_a Description: heat port inner |
 |
heatPort_b |
Type: HeatPort_b Description: heat port outer |
|
heatPort_b2 |
Type: HeatPort_b Description: heat port outer |
Components (1)
 |
medium |
Type: Medium Description: medium type |
|---|