1. Introduction
The WCLL BB is one of the most promising BB concepts currently under development for DEMO reactors [
1,
2,
3]. Its water-cooled first wall (FW) consists of a EUROFER steel structure, cooled by squared channels, which was designed for the removal of high heat loads in the expected operational conditions of the DEMO. For the proper qualification of this component and the investigation of its cooling capabilities, an experimental campaign to be carried out at the ENEA Brasimone research centre is planned. In the framework of these experiments, a FW mock-up (MU) is planned to be tested under relevant operating conditions. In particular, the foreseen water loop (WL) facility [
4] will provide pressurized water under the WCLL BB’s operational conditions, while the expected plasma heat fluxes (HFs) will be applied by means of an electron-beam gun (EB gun) similar to that used in [
5]. The experiments will have to provide relevant information regarding the suitability of the WCLL FW for future use in a DEMO reactor. Similar studies were recently carried out in the HELOKA helium facility at KIT, for the helium-cooled pebble bed (HCPB) blanket concept [
6,
7].
Due to the complexity of the BB layout and the heat loads expected during its operation, the representativity of the MU with respect to the reference FW presents some challenges. For this reason, the development of the MU layout and of the experimental test matrix should be accurately developed, starting from the scientific objectives and requirements of each test.
In the present paper, a preliminary FW MU layout is presented, within the context of its integration in the WL facility. Thermal loads relevant to the DEMO were applied to the MU by the EB gun, which was included in the experimental apparatus. Based on this design, a first numerical study aiming at the reproduction of the relevant cooling conditions for FW channels by the MU is presented. The investigation began with the Ansys-CFX-code simulation of the FW in normal steady-state operational conditions. The results of the reference simulation were used to set up the MU experimental-test boundary conditions and to conduct a comparison against the pre-test simulation of the MU in experimental conditions. Beyond describing the design of the experimental layout developed for the FW characterization campaign, the objective of this paper is to present the heating-system design and the approach adopted for the repartition of the thermal loads on the MU structure. The goal of the set-up is the reproduction of relevant thermal–hydraulic conditions in the water-cooling channels of the MU, which is the main requirement for the investigation of FW cooling capability in experimental conditions.
2. The Water-Loop Facility of the W-HYDRA Infrastructure
The water-thermal-hydraulic (W-HYDRA) infrastructure is an experimental platform that is to be built at the Research Centre of ENEA Brasimone. It will include three main facilities: WL, STEAM and LIFUS5/Mod4 [
4]. The WL is a medium-scale water facility that will provide a test bed for the WCLL BB, with the possibility of hosting test sections/mock-ups for the investigation of different phenomena and components. In addition, it will be applied as a platform for the testing of the water-cooling system of the ITER WCLL TBM at full scale, as well as offering the ability to test the thermal–hydraulic and thermo-mechanic performances of high heat fluxes (HF)-heated components. For this specific purpose, the facility will be equipped with a vacuum chamber hosting an 800-kilowatt EB gun.
Table 1 reports the main hydraulic features of the WL, while the general layout of the facility is shown in
Figure 1.
The facility is mainly constituted by three loops:
A primary water loop with the main goal of supplying water in PWR conditions at the different test sections, equipped with an electric heater of 800 kW.
A secondary water loop with the aim of reproducing the secondary loop of the WCLL–TBM circuit, whose main function is to avoid in any case the injection of radioactive water into the ITER component cooling water system (CCWS).
A tertiary water loop acting as a final heat sink for the WL. In the case of the WCLL–TBM, this circuit plays the role of the ITER CCWS.
3. Prototypical FW–MU Layout and Objectives of the Experimental Campaign
The first step in the design of the prototypical FW–MU and the set-up of the experimental test matrix is the definition of the scientific objectives to be achieved in the campaign. These can be summarized in three main points:
Test the thermal–hydraulic performances of the FW under relevant working conditions, at full scale.
Test the deformations of the FW under relevant working conditions and the thermal fatigue resistance under relevant cyclic working conditions, at full scale.
Provide experimental data for the assessment and validation of numerical codes.
Each point can be further divided into more detailed objectives, from which the requirements to be met by the MU and the specifics of the experimental campaign can be defined. The present study is focused on the first point, related to the characterization of the thermal–hydraulic performances of the FW.
3.1. FW–MU Thermal–Hydraulic-Characterization Campaign
The FW–MU thermal–hydraulic-characterization campaign includes the following sub-objectives:
Measuring the temperatures reached in the solid structure of the FW under relevant conditions.
Investigating the cooling capability of the FW channels (the power exported by the water up to the critical heat flux (CHF) conditions) under relevant conditions.
Investigating the incipience of the water boiling in the FW channels and of the different boiling regimes under relevant conditions.
Investigating the effect of gravity and buoyancy forces on the cooling capability of the FW by considering different channel inclinations.
Measuring the pressure drops in the FW channels under relevant conditions.
The relevant conditions include both nominal operating conditions (steady-state and normal-operation transient) and relevant accidental transient conditions.
3.2. The MU Geometry
The first preliminary MU design investigated is intended to satisfy most of the requirements for the fulfillment of the objectives described above. Considering the complexity of the real FW layout, a simplification of the structure was needed to maintain acceptable manufacturing and operational costs. For this purpose, the considered MU design is a flat structure intended to reproduce at full scale a section of the plasma-facing FW. To this end, the four-channel cooled FW of the central outboard blanket (COB) segment of the BB [
3] was considered as the reference design. According to the dimensions reported in
Table 2, the MU reproduces two adjacent COB units in the poloidal (vertical) direction and it features the same radial thickness and channel geometry as the FW. In the toroidal direction, the MU was given the same total length as the plasma-faced FW, calculated by summing the extensions of the flat and the two bent parts. Indeed, the so-called side walls (SW) were not expected to receive any HF from the plasma. The manufacturing materials will be chosen to be as close as possible to Eurofer steel in terms of material properties. An overview of the MU geometry with the main quotes is presented in
Figure 2.
3.3. Experimental Set-Up and Diagnostics
Cooling water at nominal reference conditions of 15.5 MPa and 295 °C is provided to the MU through the connection to the WL facility. The HF mimicking that coming from the plasma is applied on the front surface of the MU by means of the 800-kilowatt EB gun. In addition, electrical heaters are planned to be installed to heat up the MU back surface, reproducing the FW heat exchange with the breeding zone (BZ).
In
Figure 3, a preliminary piping-and-instrumentation diagram (P&ID) of the MU and its connection with the WL facility is presented. In the diagram, bulk fluid temperature thermocouples are denoted as TC, wall-temperature thermocouples are denoted as TW, differential pressure (DP) meters are denoted as DP and pipes are denoted as P. The water from the WL is split into two lines, feeding the FW–MU from opposite sides. Next, a couple of manifolds are used to uniformly split the mass flows coming from the two main branches into 4 lines each, connected to the 8 MU squared channels. Cooling water flows in the MU channels in a counter current. The 8 outlet lines gather in a collector to a single outlet line stretching back to the WL.
The 2 main inlet lines from the WL can be operated by means of a pneumatic valve and a manual (isolation) valve in order to impose the same flow rate on the two branches (under normal operational conditions) or to simulate coolant-maldistribution scenarios (e.g., LOFA scenario).
Thermocouples for the bulk-fluid-temperature measurement are located on the two main inlet lines, on the output line and on 8 MU outlet pipes, as shown in
Figure 3. The DP meters will be positioned across 3 MU channels. On the same channels, there 9 bulk-fluid-temperature thermocouples are placed per channel, uniformly distributed along the length of the MU. In addition, 18 thermocouples are inserted in the MU structure, between two consecutive channels, to measure the internal temperature of the structure during tests (see
Figure 3). The accurate mapping of the temperature in the MU is also used for the validation of numerical codes.
In addition, the following diagnostic equipment is used:
4. CFD Analysis and Validation of the Prototypical MU Design
With respect to the scientific objectives listed in
Section 3.1, it should be highlighted that some major challenges threaten the representativeness of the MU with respect to the reference FW and, thus, the production of relevant results for the FW validation in the experimental tests. From the thermal–hydraulic point of view, these challenges can be summarized through the following points:
The neutronic (volumetric) deposited heat power cannot be reproduced in the MU.
Power exchange with the BZ is non-uniformly distributed along the poloidal abscissa of the BB segment, since it depends on both the volumetric deposited heat power and the positioning of the double-wall tubes near the FW.
The MU is characterized by its different geometry (no bents) and reproduces only a part of the whole FW. However, this should be an acceptable simplification, since no HF is deposited onto the external surfaces of the neglected areas.
Accordingly, in view of the envisaged experimental campaign finalized by testing the FW thermal–hydraulic performances, the aim of the CFD analysis reported below is to investigate the applicability of the MU layout to the achievement of the presented scientific objectives. In particular, with a focus on points 2 and 3 of the objectives listed in
Section 3.1, the goal of the analysis is to investigate the possibility of reproducing representative thermal–hydraulic conditions in the water-cooling channels with the envisaged MU experimental apparatus. The simulation results will be useful for the design and sizing of some experimental components (e.g., electrical heaters, etc.) and for the set-up of the experimental-test matrix.
4.1. Set-Up of Reference FW Simulation
The reference FW conditions are represented by the COB elementary cell at equatorial level (V0.6 B model [
8]) during normal steady-state operation. This BB element is characterized by the highest neutronic power and the lowest plasma HF; therefore, it features the most challenging heat loads for the MU to be representative.
A CFD simulation of a COB elementary cell (FW and BZ domains) was carried out by applying the reference water-boundary conditions and reference heat loads (i.e., neutronic power, plasma HF) considering the most recent available neutronic calculations [
9]. A fine mesh was used in the simulation by imposing a value of
y+ = 1 to the inflation control near the solid walls for the resolution of the viscous sub-layer in all the water domains. The total number of mesh nodes was about 32 million and the total number of elements was about 57 million. The calculation was carried out with the Ansys-CFX code by using the k-ω shear-stress-transport-turbulence model. The main boundary conditions considered in the simulation are reported in
Table 3. The power-load distribution in the front part of the FW (i.e., toroidal and bent parts of FW) is reported in
Table 4.
The thermo-physical properties of water, Pb–Li, Eurofer and Tungsten were implemented in the CFX code as constants or temperature-dependent functions using a polynomial fitting of data. The properties of the solid domains are specified in terms of density, specific heat and thermal conductivity, while the fluid domain also requires dynamic viscosity.
The calculation results of interest for the set-up of the MU test is the power removal of FW channels. The results of the simulation are summarized in
Section 4.3, along with the simulation results of the MU.
4.2. Set-Up of MU Experimental Test Simulations
The results of the reference FW CFD simulation (
Section 4.1) were used as a starting point to set-up the boundary conditions to be adopted in the simulation of the MU experimental test, with the aim of obtaining conditions as similar as possible in the cooling channels of the MU. The water pressure and mass-flow rates (boundary conditions) selected were the same as those in the reference FW case; the inlet water temperature in the channels was set at 296.6 °C, as it was the average channel temperature at the inlet of the first bent of the FW in the reference simulation. Regarding the heat loads, a criterion was adopted in order to split the reference total power (
Table 4), including the volumetric heat power, between the two HFs available in the MU (i.e., the EB gun on the front surface and the heaters on the back surface). With the aim of obtaining the greatest possible similarity in the water conditions within the cooling channels, the power of the two applied HFs was obtained by means of an iterative procedure, in which the goal was to meet the following two criteria:
The sum of the two applied powers (i.e., EB-gun power and back-heater power) must be equal to the total power of the reference FW simulation (122.4 kW per elementary cell).
The ratio between the power removed by the front sides of the cooling channels and that removed by the back sides has to be the same as the reference FW calculation (Pchannels_front/Pchannels_back = 1.557).
As a result of the iterative procedure, the total power to be applied on the front surface of the MU (EB gun power) was 92.45 kW (per elementary cell); the total power applied to the back surface of the MU was 29.89 kW (per elementary cell). The main boundary conditions of the MU are summarized in
Table 5. The non-heated surfaces of the MU were considered adiabatic. The same code, models and mesh size were set up in the CFD calculation with respect to the reference simulation. In this case, the total number of mesh nodes was about 14.2 million and the total number of elements was about 13.6 million
4.3. Results of MU Simulation Compared with Reference FW Simulation
Both the CFD simulations converged well with all the residuals reducing below 10-6, which means that the steady-state results had good accuracy. In the comparison, attention was focused on the thermal–hydraulic parameters describing the water domains in the squared channels, removing power by convection and conduction from the hot surrounding solid domain. Accordingly, a key point is the heat transfer through the interface surfaces between the solid and liquid domains (squared channel sides).
A first general comparison can be assessed by examining the power repartition on the front (plasma-faced), back (BZ-faced) and lateral sides of the squared channels. It has been reported in
Table 6. for both the FW and the MU calculations results. It can be observed that similar heat loads were obtained with the adopted criterion on the four channel faces. The main difference is that the power removed by the lateral sides of the channels was slightly higher for the MU and, consequently, the power removed from both the front- and the back-channel sides was higher in the FW case. The average water-outlet temperature in the MU was uniform in the 8 channels and consistent with the reference FW value at the outlet of the bent part (around 329 °C).
To obtain more information on the representativity of the channels’ cooling conditions, some plot comparisons along a reference channel were reported for the MU and the FW.
Figure 4a shows the water temperature at the channel center and
Figure 4b shows the bulk temperature (mass-flow average in the channel section) along the straight part of the FW channel. In
Figure 5a, the wall-to-liquid HF on the top-side center of a reference channel is reported and
Figure 5b shows the wall temperature along the front-side center of a reference channel.
Along the bent parts of the FW channel, an increase in the turbulence enhancing the water mixing in comparison to the straight MU channel, was expected. For this reason, a slightly higher wall temperature was observed in the first 30 cm of MU channels (
Figure 5b) and, correspondingly, a slightly higher temperature was reached in the center of the FW channel (
Figure 4a). A similar behavior was observed in the outlet bent of the channel, where the wall temperature dropped faster in the FW than in the MU (
Figure 5b). Along the straight part of the FW, the slightly higher power removal obtained in the FW case (see
Table 6) suggests a slightly faster increase in the temperature both on the wall and in the fluid bulk (
Figure 4 and
Figure 5).
An oscillation of the variables plotted along the FW channels can be observed in
Figure 5. This was due to the influence of the heat exchange with the BZ, which, as explained above, varied along the toroidal abscissa due to the presence of the double wall tubes (DWTs).
In general, a good match between the plotted variables was obtained between the MU and the FW simulations, meaning a good representativity of the cooling channels in the studied steady-state conditions by the MU.
Figure 6 depicted the wall temperature along the sides of the channels for the two simulations, while
Figure 7 reports the temperature field in a vertical central section of the reference channel, in the water domain. In both cases, a very similar thermal field can be observed, but the effects of the bends-turbulence enhancement on the fluid field can also be observed in the FW temperature distribution in
Figure 7.
Some additional observations regarding the thermal field obtained in the structures should be examined (
Figure 8). The different distributions of power applied and, in particular, the higher boundary HFs applied to the MU (to compensate for the absence of the neutronic load) led to the achievement of higher temperatures in the MU structures in comparison to the FW reference scenario. Consequently, it has to be considered that experimental activities aiming at the characterization of the mechanical behavior of the FW may be influenced by this mismatch.
5. Conclusions
In view of the envisaged experimental campaign intended to provide relevant information for the validation of the FW component of the WCLL BB, a prototypical FW–MU was proposed for manufacturing and testing in the WL experimental facility within the W-HYDRA infrastructure. The prototypical MU geometry, the experimental apparatus and the diagnostic instrumentation were presented in this paper, according to the first preliminary design conceived.
Due to the complexity of the reference FW geometry and operational conditions, the representativity of the MU in prototypical experimental conditions must be investigated in order to produce relevant results in the envisaged experimental campaign. Therefore, given the MU layout, the representativity of its thermal–hydraulic conditions with respect to the reference FW were numerically assessed in the present paper. In this regard, the first step was the CFD simulation of the COB elementary cell of the FW at the equatorial level in normal steady-state operational conditions, from which relevant FW heat loads were estimated.
The simulation results for the reference FW were used to set up the HF boundary conditions for the MU, using a criterion intended to obtain representative thermal–hydraulic conditions in the water-cooling channels.
The comparison of the FW simulation results with the MU simulation results shows a good reproduction of the overall power repartition between the cooling-channel sides. The plot comparison of the thermal–hydraulic variables along the length of a reference channel also featured a good match between the cooling conditions. Moreover, these plots underline the effect of the bent part of the FW, which increases the heat exchange between the wall and the fluid, leading to some discrepancies. Further sensitivity studies on this phenomenon should be conducted to better quantify the effects of the bends on the heat transfer of the channels. A slightly different thermal field was predicted for the FW–MU with respect to the WCLL BB FW. Nevertheless, the proposed FW–MU can be used for the investigation of the mechanical behavior of the FW under selected loading conditions.
In conclusion, it can be stated that, despite some discrepancies compared with the reference model, the designed MU and its projected heating system fulfil the experimental test objectives set. Indeed, with the adopted thermal loads, it features representative thermal-–hydraulic conditions in the cooling channels. Consequently, its design and the investigated thermal loads can be used as a starting point for the development of the experimental test matrix. Future experimental testing will deal with the investigation of the channels’ cooling conditions, the investigation of the water nucleate boiling phenomenon and a test of the thermo-mechanical performances under cyclic loads.
Author Contributions
Conceptualization, P.M., P.A., A.T. and A.D.N.; methodology, P.M., P.A., R.M. and A.D.N.; software, P.M. and R.M.; validation, P.A. and R.M.; formal analysis, P.M. and P.A.; investigation, P.M. and R.M.; resources, P.A., A.D.N. and A.T.; data curation, P.M., P.A. and R.M.; writing—original draft preparation, P.M. and R.M.; writing—review and editing, P.A., R.M., A.D.N. and A.T.; visualization, P.M. and R.M.; supervision, P.A. and A.D.N.; project administration, P.A., A.T. and A.D.N.; funding acquisition, A.D.N. and P.A. All authors have read and agreed to the published version of the manuscript.
Funding
This work was carried out within the framework of the EUROfusion Consortium, funded by the European Union via the Euratom Research and Training Programme (grant agreement no. 101052200—EUROfusion).
Data Availability Statement
Data sharing is not applicable to this article.
Acknowledgments
This work was carried out within the framework of the EUROfusion Consortium, funded by the European Union via the Euratom Research and Training Programme (grant agreement no. 101052200—EUROfusion). The views and opinions expressed are, however, those of the author(s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the European Commission can be held responsible for them.
Conflicts of Interest
The authors declare no conflict of interest.
Abbreviations
BB | Breeding Blanket |
BZ | Breeding Zone |
CCWS | Component Cooling Water System |
CHF | Critical Heat Flux |
COB | Central Outboard Blanket |
DP | Differential Pressure |
DWT | Double Wall Tube |
EB Gun | Electron Beam Gun |
FW | First Wall |
HF | Heat Flux |
HCPB | Helium-Cooled Pebble Bed |
LOFA | Loss Of Flow Accident |
MU | Mock-Up |
P&ID | Piping-and-Instrumentation Diagram |
SW | Side Walls |
TBM | Test-Blanket Module |
WCLL | Water-Cooled Lithium–Lead |
WL | Water Loop |
W-HYDRA | Water-Thermal-Hydraulic |
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