modelShs_SinglePhase_Overall
Specify Shs | Single Phase | Overall
Extends from 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 | nMT (from PartialMassTransfer) | 1 | Number of mass transfer segments |
| Integer | nC (from PartialMassTransfer) | 1 | Number of substances |
| Integer | flagIdeal (from PartialMassTransfer) | 0 | Flag for models to handle ideal heat transfer |
| Advanced | |||
| SI.ReynoldsNumber | Re_lam (from PartialMassTransfer) | 2300 | Laminar transition Reynolds number |
| SI.ReynoldsNumber | Re_turb (from PartialMassTransfer) | 4000 | Turbulent transition Reynolds number |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Medium.ThermodynamicState[nMT] | states (from PartialMassTransfer) | Thermodynamic state of fluid | |
| SI.Temperature[nMT] | Ts_wall (from PartialMassTransfer) | Wall temperature | |
| SI.Concentration[nMT,nC] | Cs_wall (from PartialMassTransfer) | Wall concentration | |
| SI.Concentration[nMT,nC] | Cs_fluid (from PartialMassTransfer) | Fluid concentration | |
| SI.Velocity[nMT] | vs (from PartialMassTransfer) | Fluid Velocity | |
| SI.Diameter[nMT] | dimensions (from PartialMassTransfer) | Characteristic dimension (e.g. hydraulic diameter) | |
| SI.Area[nMT] | crossAreas (from PartialMassTransfer) | Cross sectional flow area | |
| SI.Length[nMT] | dlengths (from PartialMassTransfer) | Characteristic length of heat transfer segment | |
| SI.Height[nMT] | roughnesses (from PartialMassTransfer) | Average height of surface asperities | |
| SI.DiffusionCoefficient[nMT,nC] | Ds_ab (from PartialMassTransfer) | Diffusion coefficient in fluid | |
| SI.MassFlowRate[nMT] | m_flows (from PartialMassTransfer) | Fluid mass flow rate | |
| SI.ReynoldsNumber[nMT] | Res (from PartialMassTransfer) | Reynolds number | |
| SI.SchmidtNumber[nMT,nC] | Scs (from PartialMassTransfer) | Schmidt number | |
| SI.Length[nMT] | xs (from PartialMassTransfer) | Position of local mass transfer calculation | |
| Units.CoefficientOfMassTransfer[nMT,nC] | alphasM (from PartialMassTransfer) | Coefficient of mass transfer | |
| Units.SherwoodNumber[nMT,nC] | Shs (from PartialMassTransfer) | Sherwood number | |
| TRANSFORM.Media.BaseProperties1Phase | mediaProps (from PartialSinglePhase) | Bulk fluid properties | |
| SI.SchmidtNumber[nMT,nC] | Shs_lam | {Functions.SinglePhase.InternalFlow.Sh_Laminar_Local_Developed_Circular_SiederTate(Res[i], Scs[i, j], sum(dlengths), dimensions[i]) for i in 1:nMT, j in 1:nC} | Laminar Schmidt number |
| SI.SchmidtNumber[nMT,nC] | Shs_turb | {Functions.SinglePhase.InternalFlow.Sh_Turbulent_Local_Developed_Circular_DittusBoelter(Res[i], Scs[i, j]) for i in 1:nMT, j in 1:nC} | Turbulent Schmidt number |
| SI.Length | L_char | dimensions | Characteristic dimension for calculation of alphaM |