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

  1. VDI Heat Atlas 2E, 2010.
  2. Heat Transfer. Nellis and Klein. 2009

Parameters

TypeNameDefaultDescription
Internal Interface
IntegernHT (from PartialHeatTransfer)1Number of heat transfer segments
IntegerflagIdeal (from PartialHeatTransfer)0Flag for models to handle ideal heat transfer
Advanced
SI.ReynoldsNumberRe_lam (from PartialHeatTransfer)2300Laminar transition Reynolds number
SI.ReynoldsNumberRe_turb (from PartialHeatTransfer)4000Turbulent transition Reynolds number

Components

TypeNameDefaultDescription
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.BaseProperties1Phasemediums (from PartialSinglePhase)Bulk fluid properties
TRANSFORM.Media.BaseProperties1Phasemediums_film (from PartialSinglePhase)Film fluid properties
SI.NusseltNumberNus_lamFunctions.SinglePhase.InternalFlow.Nu_Laminar_Local_Developed_Circular(Res_film, Prs_film, xs, dimensions, true)Laminar Nusselt number
SI.NusseltNumberNus_turbFunctions.SinglePhase.InternalFlow.Nu_Turbulent_Local_Developed(Res_film, Prs_film, xs, dimensions, roughnesses)Turbulent Nusselt number
SI.LengthL_chardimensionsCharacteristic dimension for calculation of alpha
SI.ThermalConductivitylambdamediums_film.lambdaThermal conductivity for calculation of alpha