HEXvle2gas L3 1ph BU ntu
Created Friday 01 November 2013
A block-shaped steam to air preheater model with flue gas at shell side and steam/water medium at the tube side, NTU-based heat transfer calculation. A block-geometry for low pressure air preheaters with U-type tube bundles is assumed.
1. Purpose of Model
This model is well suited to model slow transients of commonly designed low pressure air preheaters. If large-scale short-term transients occur, e.g. as can be found during start-up the model might give imprecise results since the basic assumptions of the NTU approach (applied for calculation of heat resistance) can be violated.
2. Level of Detail, Physical Effects Considered and Physical Insight
2.1 Level of Detail
Referring to Brunnemann et al. [1], this model refers to the level of detail L3 because the system is modelled with the use of balance equations applied to two different zones of the component: liquid condensate at tube side, vapour volume at shell side.
2.2 Physical Effects Considered
- dynamic conservation of energy (neglecting kinetic energy terms) in desuperheating and cooling flows
- dynamic conservation of mass (neglecting kinetic energy terms) in condensating and cooling flows
- taking static pressure differences due to friction losses and geostatic into account
- calculation of heat transfer resistance between the two flows is calculated according to a NTU model
- heat transfer from air to heating steam, losses to the ambience are neglected
2.3 Level of Insight
Heat Transfer
shell side
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:Adiabat L2 : No heat transfer
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:CharLine L2 : All Geo || HTC || Characteristic Line
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:Constant L2 : All Geo || HTC || Constant
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:IdealHeatTransfer L2 : All Geo || Ideal Heat Transfer
- Basics:ControlVolumes:Fundamentals:HeatTransport:Gas HT:Convection:Convection flatWall L2 All geo || Convection flat wall
- Basics:ControlVolumes:Fundamentals:HeatTransport:Gas HT:Convection:Convection tubeBank L2 Shell geo || Convection tube banks
- Basics:ControlVolumes:Fundamentals:HeatTransport:Gas HT:Convection:Convection finnedTubes L2 Shell geo || Convection finned tube banks
tube side:
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:Adiabat L2 : No heat transfer
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:CharLine L2 : All Geo || HTC || Characteristic Line
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:Constant L2 : All Geo || HTC || Constant
- Basics:ControlVolumes:Fundamentals:HeatTransport:Generic HT:IdealHeatTransfer L2 : All Geo || Ideal Heat Transfer
- Basics:ControlVolumes:Fundamentals:HeatTransport:VLE HT:NusseltPipe1ph L2 : Pipe Geo || L2 || HTC || Nusselt (1ph)
Pressure Loss
shell side
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:NoFriction L2 : friction free flow between inlet and outlet
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:LinearPressureLoss L2 : Linear pressure loss based on nominal values, different zones are seen in parallel, pressure loss is located at flanges
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:QuadraticNominalPoint L2 : Quadratic pressure loss based on nominal values, different zones are seen in parallel, pressure loss is located at flanges, density independent
tubes side
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:NoFriction L2 : friction free flow between inlet and outlet
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:LinearPressureLoss L2 : Linear pressure loss based on nominal values, different zones are seen in parallel, pressure loss is located at flanges
- Basics:ControlVolumes:Fundamentals:PressureLoss:Generic PL:QuadraticNominalPoint L2 : Quadratic pressure loss based on nominal values, different zones are seen in parallel, pressure loss is located at flanges, density independent
- Basics:ControlVolumes:Fundamentals:PressureLoss:VLE PL:PressureLossCoefficient L2 : Density dependent pressure loss based on zeta value
- Basics:ControlVolumes:Fundamentals:PressureLoss:VLE PL:QuadraticNominalPoint L2 : Density dependent, quadratic pressure loss based on nominal values
Phase Separation
shell side
intrinsic ideally mixed gas flow.
tube side:
Basics:ControlVolumes:Fundamentals:SpatialDistributionAspects:IdeallyStirred : ideally mixed phases
Heat Exchanger Type
- Basics:ControlVolumes:SolidVolumes:Fundamentals:HeatExchangerTypes:CounterFlow
- Basics:ControlVolumes:SolidVolumes:Fundamentals:HeatExchangerTypes:CrossCounterFlow
- Basics:ControlVolumes:SolidVolumes:Fundamentals:HeatExchangerTypes:CrossFlow
- Basics:ControlVolumes:SolidVolumes:Fundamentals:HeatExchangerTypes:ParallelFlow
- Basics:ControlVolumes:SolidVolumes:Fundamentals:HeatExchangerTypes:TubeBundle
3. Limits of Validity
- only small transients are allowed due to application of NTU-based wall model.
- phase change, see remarks of usage
- no flow reversal is supported
4. Interfaces
5. Nomenclature
- no model specific nomenclature -
6. Governing Equations
6.1 System Description and General model approach
This model is composed by instantiation of the following classes:
- Basics:ControlVolumes:FluidVolumes:VolumeVLE L2 volume of the condensate volume in the pipes
- Basics:ControlVolumes:FluidVolumes:VolumeVLE L2 volume of the superheated steam volume in the shell side
- Basics:ControlVolumes:SolidVolumes:NTU L2 to model the heat transfer resistance and the temperature distribution in the heat exchanger
6.2 General Model Equations
Summary
A record summarising the most important variables is provided. Please be aware of the boolean showExpertSummary in the parameter dialog tab "Summary and Visualisation". Setting this parameter to true will give you more detailed information on the components behaviour. The summary consists of the outline:
and the summaries of the class instances named in section 6.1
7. Remarks for Usage
Usage with finned heat transfer models:
- If finned heat transfer models are used the parameter CF_geo will be automatically adapted to calculate the correct finned tube heat transfer area. Setting CF_geo has no effect for finned tube heat transfer model.
- The effective heat transfer area can be accessed with the parameter geo.A_heat_CF[2].
7.1 Naming
The naming of heat exchangers in this package follows some specific form that is defined as follows:
7.2 Heat Transfer Modelling
In most cases the heat transfer from one fluid to the other will be dominated by the heat transfer at one of fluid boundary layers. In that cases the heat transfer coefficient α at this side will be considerably smaller than on the other side. From a numerical point of view it is disadvantageous to have very high (close to infinite) heat transfer coefficients on either sides. If you want to take nearly ideal heat transfer at one of the sides into account please consider the corresponding replaceable model instead of defining arbitrary large heat transfer coefficients in the model.
7.3 Phase Change
Since the model has only one state on the tube side and the shell side respectively phase change is in principally possible but will result in low accuracy during the phase change transients. Furthermore, phase separation is not supported.
8. Validation
9. References
[1] Johannes Brunnemann and Friedrich Gottelt, Kai Wellner, Ala Renz, André Thüring, Volker Röder, Christoph Hasenbein, Christian Schulze, Gerhard Schmitz, Jörg Eiden: "Status of ClaRaCCS: Modelling and Simulation of Coal-Fired Power Plants with CO2 capture", 9th Modelica Conference, Munich, Germany, 2012
10. Authorship and Copyright Statement for original (initial) Contribution
Author:
DYNCAP/DYNSTART development team, Copyright 2011 - 2022.
Remarks:
This component was developed during DYNCAP/DYNSTART projects.
Acknowledgements:
ClaRa originated from the collaborative research projects DYNCAP and DYNSTART. Both research projects were supported by the German Federal Ministry for Economic Affairs and Energy (FKZ 03ET2009 and FKZ 03ET7060).
CLA:
The author(s) have agreed to ClaRa CLA, version 1.0. See https://claralib.com/pdf/CLA.pdf
By agreeing to ClaRa CLA, version 1.0 the author has granted the ClaRa development team a permanent right to use and modify his initial contribution as well as to publish it or its modified versions under the 3-clause BSD License.
11. Version History
- 2013 - v 0.1 - initial implementation - A.Renz, F.Gottelt, XRG Simulation
- 07.03.2016 - v 1.1.0 - renamed to ClaRa.Components.HeatExchangers.HEXvle2gas_L3_1ph_BU_ntu
- rename parameter mainOrientation in flowOrientation
- remove parameter verticalTubes which is without any effect
- quadruple port m_flow was taken from shell side instead of tube side
- propagated parameters staggeredAlignment, N_rows, Delta_z_par, Delta_z_ort
- corrected calculation of A_heat: previous versions used lateral shell surface instead of tube bundle lateral surface
- changed default values of z_in_shell and z_out_shell, to avoid newly introduced asserts (e.g. z_in_shell>max height). Furthermore, the new values are in consonance with the default flow orientation.
- 08.01.2019 -v 1.4.0 - added kA-value to summary
- new heat transfer models can be chosen
- correct heat transfer area for finned tube heat transfer is used automatically
- introduced parameter tubeOrientation, models are parametrisable in a more flexible way - Timm Hoppe and Annika Kuhlmann, XRG Simulation GmbH, Lasse Nielsen TLK Thermo GmbH