modelNus_SinglePhase_2Region
Specify Nus | Single Phase | 2 Regions
Extends from TRANSFORM.HeatAndMassTransfer.ClosureRelations.HeatTransfer.Models.PartialSinglePhase (Base model).
Information
Local heat transfer model for fully developed laminar and turbulent flow in circular pipes.
- The laminar region has been shown to be significantly impacted by the duct shape and wall boundary conditions but not the surface roughness.
- The turbulent region has been shown to be highly depenedent of surface roughness but not impacted by duct shape or wall boundary conditions.
- The characteristic dimension is defined as dimension = 4*crossArea/perimeter where "crossArea" is the cross sectional flow area and "perimeter" is the wetted perimeter.
Range of validity:
- fully developed pipe flow
- forced convection
- one phase Newtonian fluid
- constant wall temperature or constant heat flux in laminar region
- 0 ≤ Re ≤ 1e6, 0.1 ≤ Pr ≤ 1000, d/L ≤ 1
- Applies only to circular pipes in the laminar region but can approximate other with the characteristic dimension. Turbulent region is independent of pipe shape.
The correlation takes into account the spatial position along the pipe flow, which changes discontinuously at flow reversal. However, the heat transfer coefficient itself is continuous around zero flow rate, but not its derivative.
References
- VDI Heat Atlas 2E, 2010.
- Heat Transfer. Nellis and Klein. 2009
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Internal Interface | |||
| Integer | nHT (from PartialHeatTransfer) | 1 | Number of heat transfer segments |
| Integer | flagIdeal (from PartialHeatTransfer) | 0 | Flag for models to handle ideal heat transfer |
| Advanced | |||
| SI.ReynoldsNumber | Re_lam (from PartialHeatTransfer) | 2300 | Laminar transition Reynolds number |
| SI.ReynoldsNumber | Re_turb (from PartialHeatTransfer) | 4000 | Turbulent transition Reynolds number |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Medium.ThermodynamicState[nHT] | states (from PartialHeatTransfer) | Thermodynamic state of fluid | |
| SI.Temperature[nHT] | Ts_wall (from PartialHeatTransfer) | Wall temperature | |
| SI.Temperature[nHT] | Ts_fluid (from PartialHeatTransfer) | Fluid temperature | |
| SI.Velocity[nHT] | vs (from PartialHeatTransfer) | Fluid Velocity | |
| SI.Diameter[nHT] | dimensions (from PartialHeatTransfer) | Characteristic dimension (e.g. hydraulic diameter) | |
| SI.Area[nHT] | crossAreas (from PartialHeatTransfer) | Cross sectional flow area | |
| SI.Length[nHT] | dlengths (from PartialHeatTransfer) | Characteristic length of heat transfer segment | |
| SI.Height[nHT] | roughnesses (from PartialHeatTransfer) | Average height of surface asperities | |
| SI.Temperature[nHT] | Ts_film (from PartialHeatTransfer) | 0.5*(Ts_wall + Ts_fluid) | Film temperature |
| Medium.ThermodynamicState[nHT] | states_film (from PartialHeatTransfer) | Medium.setState_pTX(Medium.pressure(states), Ts_film, Medium.X_default) | Film state |
| SI.MassFlowRate[nHT] | m_flows (from PartialHeatTransfer) | Fluid mass flow rate | |
| SI.Velocity[nHT] | vs_film (from PartialHeatTransfer) | Velocity with properties evaluated at film temperature | |
| SI.ReynoldsNumber[nHT] | Res (from PartialHeatTransfer) | Reynolds number | |
| SI.ReynoldsNumber[nHT] | Res_film (from PartialHeatTransfer) | Reynolds number with properties evaluated at film temperature | |
| SI.PrandtlNumber[nHT] | Prs (from PartialHeatTransfer) | Prandtl number | |
| SI.PrandtlNumber[nHT] | Prs_film (from PartialHeatTransfer) | Prandtl number with properties evaluated at film temperature | |
| SI.Length[nHT] | xs (from PartialHeatTransfer) | Position of local heat transfer calculation | |
| SI.CoefficientOfHeatTransfer[nHT] | alphas (from PartialHeatTransfer) | Coefficient of heat transfer | |
| SI.NusseltNumber[nHT] | Nus (from PartialHeatTransfer) | Nusselt number | |
| TRANSFORM.Media.BaseProperties1Phase | mediums (from PartialSinglePhase) | Bulk fluid properties | |
| TRANSFORM.Media.BaseProperties1Phase | mediums_film (from PartialSinglePhase) | Film fluid properties | |
| SI.NusseltNumber | Nus_lam | Functions.SinglePhase.InternalFlow.Nu_Laminar_Local_Developed_Circular(Res_film, Prs_film, xs, dimensions, true) | Laminar Nusselt number |
| SI.NusseltNumber | Nus_turb | Functions.SinglePhase.InternalFlow.Nu_Turbulent_Local_Developed(Res_film, Prs_film, xs, dimensions, roughnesses) | Turbulent Nusselt number |
| SI.Length | L_char | dimensions | Characteristic dimension for calculation of alpha |
| SI.ThermalConductivity | lambda | mediums_film.lambda | Thermal conductivity for calculation of alpha |