modelErgun

Empirical Correlation according to Ergun

Extends from TransiEnt.Storage.Heat.PackedBedStorage_L4.Basics.PackedBedPressureLoss.PressureLossBasePackedBed (Base model for pressure loss in packed beds).

Information

1. Purpose of model

Empirical packed bed pressure loss correlation according to Ergun.

2. Level of detail, physical effects considered, and physical insight

(Description)

3. Limits of validity

(Description)

4. Interfaces

(none)

5. Nomenclature

(no elements)

6. Governing Equations

(no equations)

7. Remarks for Usage

(none)

8. Validation

(no validation or testing necessary)

9. References

S. Ergun, Fluid Flow Through Packed Columns, Chemical Engineering Progress (1952) 89–94

10. Version History

Model created by Michael von der Heyde (heyde@tuhh.de), March 2021

Parameters

TypeNameDefaultDescription
SI.PressureDelta_p_smooth (from PressureLossBasePackedBed)iCom.Delta_p_nom/iCom.N_cv*0.2|Small Mass Flows|For pressure losses below this value the square root of the quadratic pressure loss model is regularised
ClaRa.Basics.Units.Length[iCom.N_cv]Delta_x (from PressureLossBasePackedBed)geo.Delta_x
ClaRa.Basics.Units.Length[iCom.N_cv + 1]Delta_x_FM (from PressureLossBasePackedBed)geo.Delta_x_FMflowModel grid
ClaRa.Basics.Units.MassFlowRatem_flow_nom (from PressureLossBasePackedBed)iCom.m_flow_nomNominal mass flow rate
ClaRa.Basics.Units.PressureDifferenceDelta_p_nom (from PressureLossBasePackedBed)iCom.Delta_p_nomNominal pressure loss wrt. all parallel tubes
ClaRa.Basics.Units.AreaA_cross_bed_FM (from PressureLossBasePackedBed)geo.A_cross_bed_FMCross Area of Packed Bed
BooleanfrictionAtInlet (from PressureLossBasePackedBed)
BooleanfrictionAtOutlet (from PressureLossBasePackedBed)
BooleanuseHomotopy (from PressureLossBasePackedBed)
ClaRa.Basics.Units.Areapermeability2*iCom.porosity*iCom.d_h^2/150

Components

TypeNameDefaultDescription
TILMedia.Gas_ph[iCom.N_cv]fluid (from PressureLossBasePackedBed)
TILMedia.Gas_phfluidInlet (from PressureLossBasePackedBed)
TILMedia.Gas_phfluidOutlet (from PressureLossBasePackedBed)
TransiEnt.Storage.Heat.PackedBedStorage_L4.Basics.Records.IComPackedBedControlVolume_L4iCom (from PressureLossBasePackedBed)
TransiEnt.Storage.Heat.PackedBedStorage_L4.Basics.PackedBedGeometry.PackedBedGeometry_N_cvgeo (from PressureLossBasePackedBed)
ClaRa.Basics.Units.PressureDifference[iCom.N_cv + 1]Delta_p (from PressureLossBasePackedBed)Pressure difference
ClaRa.Basics.Units.MassFlowRate[iCom.N_cv + 1]m_flow (from PressureLossBasePackedBed)Massflow in FlowModel cells
SI.PressureDifference[geo.N_cv + 1]dp_pb_V (from PressureLossBasePackedBed)Part of Pressure Difference caused by Viscosity
SI.PressureDifference[geo.N_cv + 1]dp_pb_I (from PressureLossBasePackedBed)Part of Pressure Difference caused by Inertia
SI.DensityMassSpecific[iCom.N_cv + 1]rho_FM (from PressureLossBasePackedBed)Density in FlowModel cells
SI.Velocity[geo.N_cv + 1]v_FM (from PressureLossBasePackedBed)Superficial Velocity at cell boundary
SI.DynamicViscosity[geo.N_cv + 1]eta_FM (from PressureLossBasePackedBed)Dynamic Viscosity at cell boundary
Real[geo.N_cv + 1]Re (from PressureLossBasePackedBed)Reynolds Number