WOLFRAM SYSTEMMODELER

ConvectionPipe

Pipe with convection

Wolfram Language

In[1]:=
SystemModel["SmartCooling.Components.ConvectionPipe"]
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 (13)

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

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 (4)

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

Components (1)

medium

Type: Medium

Description: medium type

Used in Examples (1)

ConvectionPipe

SmartCooling.Examples

Example of a pipeline circuit

Used in Components (2)

Cooler

SmartCooling.Components

Cooler component

Engine

SmartCooling.Components

Thermal model of internal combustion engine