<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Nb alloy in the liquid phase
measured with an electromagnetic levitation device on board the International Space Station, ISS-
EML. International Journal of Materials Research</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>The Electro-Thermal Budget of a Factory in Orbit</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Francesco Lucchini</string-name>
          <email>francesco.lucchini@unipd.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Riccardo Torchio</string-name>
          <email>riccardo.torchio@unipd.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Michele Forzan</string-name>
          <email>michele.forzan@unipd.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fabrizio Dughiero</string-name>
          <email>fabrizio.dughiero@unipd.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Industrial Engineering, University of Padova</institution>
          ,
          <addr-line>Via Gradenigo 6/A, 35131, Padova</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Information Engineering, University of Padova</institution>
          ,
          <addr-line>Via Gradenigo 6/B, 35131, Padova</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>112</volume>
      <fpage>770</fpage>
      <lpage>781</lpage>
      <abstract>
        <p>The Enhanced Factory for Extraterrestrial Space Technology Operations (EFESTO) project investigates the feasibility of an in-space factory to realize a full recycling chain of space waste. The melting process of debris is a crucial aspect of the recycling chain and requires the development of sophisticated techniques capable of operating in microgravity conditions. The electro-thermal budged of an Electromagnetic Levitation Melting (EML), a viable candidate to assess the melting task, is examined in this paper.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Induction heating</kwd>
        <kwd>electromagnetic levitation melting (EML)</kwd>
        <kwd>microgravity</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>2. Electromagnetic levitation melting</title>
      <p>
        Terrestrial EML for manufacturing highly pure materials has been studied for many decades [
        <xref ref-type="bibr" rid="ref1">3, 4,
5</xref>
        ]. Conversely to ground experiments at 1 g where strong levitation fields are required to counteract
the gravitational force, under µg conditions, experienced inside the factory in orbit, the EML process
is particularly simplified making this technology a viable solution to assess the melting process in the
EFESTO workflow drawn in Figure 1. EML is not a new concept in the context of electrothermal
processes in space. Indeed, the ISS has been equipped with an EML facility in the European Columbus
module since 2014 [2, 6, 7, 8, 9, 10].
      </p>
      <p>Preliminary</p>
      <p>debris
transformation</p>
      <p>Melting
process</p>
      <p>Additive
manufacturing</p>
      <p>Besides the EML facility, the ISS has been joined with an Electrostatic Levitation Furnace (ELF) [11,
12, 13] whose development started in 1993 by the Japan Aerospace Exploration Agency (JAXA). The
major advantage of ELF, which is based on the Coulomb force, is the possibility of handling a broad
range of materials if compared to EML, such as ceramics. However, a high-speed real-time feedback
control system is mandatory [14]. An extended description concerning the EML and the ELF on board
the ISS can be found in the book [1]. A remarkable advantage of EML and ELF techniques, making
them very attractive for metallurgical processes, relies upon the absence of the crucible; thus, the
contact of the molten sample with container walls is avoided, resulting in less contaminated materials.
In this section, a preliminary investigation has been carried out concerning a pre-conceptual design
of an EML facility, hereafter termed EFESTO-EML, which could be installed in the factory in orbit to
assess the melting task. The layout of EFESTO-EML presented here is for preliminary considerations
and is subject to potential changes during subsequent project phases.</p>
      <p>The analysis is based on the axisymmetric model reported in Figure 2. Even if the EML facility is
generally composed of many modules, e.g., for the power supply and diagnostics [2], here only the
functional block, where the electromagnetic levitator and the sample are located, is analyzed. The
system is enclosed by a stainless-steel chamber, which operates at ultra-high vacuum conditions.
Similar to ISS-EML, the system consists of heating and positioning coils. The former are used to
provide the heating power to the sample, while the latter are used to control the position of the
sample, which is subjected to the Lorentz force density [N/m3] written as:
() = ℜ{() × ∗()}.
(1)
In (1), ℜ{∙} takes the real part, * is the complex conjugate operator, while () is the induced current
density in the molten sample, and () is the magnetic flux density.</p>
      <p>From an operational standpoint, a notable divergence exists between EFESTO-EML and ISS-EML.
Specifically, EFESTO-EML is designed without the anticipation of human presence on board, thus
mandating comprehensive process automation. This distinction underscores the imperative of
integrating supplementary coils within EML techniques, enabling the movement of samples along
varied levitation paths within the chamber.</p>
      <p>In the same fashion as the ISS-EML, the position coils made of copper are supplied with a current
of 145 A at a frequency of 140 kHz. The thickness of the coils, s, is taken in such a way that s/d ³ p/2,
where d is the penetration depth in the coil, resulting in s = 1 mm. The sample is assumed to be a
spherical droplet with a radius of 4 mm. In the following, the finite element method (FEM) software
COMSOLÒ Multiphysics has been used to evaluate the electromagnetic forces by using the Magnetic
Fields (mf) interface based on the magneto-quasistatic approximation in the frequency domain. The
result of the numerical simulation is reported in Figure 3, where the electromagnetic force density
exerted on the sample is highlighted.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Thermal problem and energy requirements</title>
      <p>The power consumption of the recycling chain, in particular, the melting process of debris, as
indicated in the workflow of Figure 1, is strictly related to the amount and type of materials to be
reconditioned, and the environmental conditions inside the factory. In this respect, Table 1
summarizes the materials of interest for the recycling process within the EFESTO project. In what
follows, only the recycling of Aluminum alloys, e.g., the Al2219 (electric conductivity of ss = 1.75×107
S/m), is considered. The Al2219 sample of spherical shape has a radius of 4 mm (» 0.7 mg).</p>
      <p>The environmental conditions inside the factory can be argued by considering the following
operational scenario:
• The factory will be located in LEO; thus, the external part is subjected to a temperature
variation of approximately 300 °C, from -150 °C to 150 °C. In what follows, perfect thermal
insulation is considered between internal and external parts, and the ambient temperature
inside the factory can be estimated by looking at the typical operative temperature ranges
for the more critical subsystems shown in Table 2, resulting in Tamb=10 °C.
• The baseline scenario of the EFESTO project does not foresee the presence of crew
onboard, therefore it is not strictly necessary to pressurize the ambient. This allows the
possibility of operating in “vacuum” conditions; thus, the effect of air advection can be
neglected in the thermal problem. The thermal radiation boundary condition is the only
mechanism responsible for the heat exchange.</p>
      <p>A thermal model has been developed in COMSOLÒ, by using Heat Transfer (ht) physics, to
estimate the energy required to reach the melting temperature (in the range 543/643 °C) of the Al2219
sample. The electromagnetic problem is firstly resolved by supplying the hating coils with a current
of 210 A at a frequency of 380 kHz, following the ISS-EML [2].</p>
      <sec id="sec-3-1">
        <title>Type</title>
        <p>Al2219 or Al7075</p>
        <p>NomexÒ or Kevlar
ULTEMÔ or PEEK/PAEK</p>
        <p>The electric efficiency he of the system is evaluated at this stage resulting in he = 0.18, being the
power on the sample of Ps » 17 W and the total power of Ptot » 90 W. It is worth noting that the copper
coils must be actively cooled during the operation. For the thermal problem, Surface-to-Surface
radiation is added to the sample surface and the inner surface of the chamber, while
Surface-toAmbient radiation is imposed in the outer boundary of the chamber. The heat source is provided by
the power delivered to the sample Ps. During the phase transition, the material properties of the
sample may change, thus, a Gaussian model for the heat capacity is adopted:
"() = #$%&amp;' +</p>
        <p>exp : −

√2
( − ())
2)
&lt;
(2)
where Csolid = 0.864 J/(g°C) is the specific heat capacity in the solid state, E = 390 J/g is the energy for
phase transformation, s is the standard deviation and Tc = Ti +0.5(Tf – Ti) is the melting temperature.
Ti = 543 °C and Tf = 643 °C are the onset and completion melting temperatures. The time integration
stops at t = 40 s, when the temperature Tf in the sample is reached. The results of the simulation are
listed in Table 3, reporting the power and energy required by the EML system for the melting process
of a 4 mm-radius sample of Al2219.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>In the EFESTO project, efficient debris separation before the melting process is crucial due to its
high level of automation. This involves the use of sorting techniques, currently in the process of
definition by other research teams collaborating within the EFESTO project. Additionally, discussions
are underway regarding the potential for a two-step melting process to reduce impurities, particularly
non-metallic substances, within the samples. This step is imperative for ensuring the production of
highly pure materials required for AM processes (if needed). The energy demands of the EML system
necessitate the utilization of in-situ technologies, such as photovoltaic panels. However, scaling up
to large-scale EML facilities with substantial production rates (i.e., kg/h) introduces additional
challenges, not only for the feasibility of the EML process but also from an energy point of view.
These challenges are not addressed in this preliminary work.</p>
      <p>Furthermore, security concerns within the EML facility are not within the scope of this work,
which focuses solely on the processes. However, it is paramount that these issues are thoroughly
addressed in future activities to ensure the reliability of the final design. It is noteworthy that EFESTO
involves multiple research teams, necessitating collaborative discussions with partners to address
various needs effectively.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>In this paper, initial explorations into the thermal budget of the EFESTO project have been
conducted, with a specific focus on the installation of an EML facility. In Section 2 a simple scheme
of EFESTO-EML has been described. The simple electromagnetic model presented here will be
extended in future research activities to incorporate the fluid motion inside the molten sample,
through a magnetohydrodynamic (MHD) simulation [7, 15]. Due to the high level of automation
within the factory-in-orbit, a set of moving coils (e.g., for the casting process) is required, and their
design will be of interest in future activities. The thermal budget analyzed in Section 3 relies on certain
assumptions regarding the operational conditions and dimensions of the space factory. However, at
present, these parameters are not yet defined within the project. A key aspect to be investigated in
future research campaigns concerns process scalability. The effectiveness of the scrap recycling chain
requires the processing of waste of different sizes, much larger than the samples described in the
previous paragraph. This reflects the need to implement a process for large-scale EML [16, 17] in
microgravity conditions.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgements</title>
      <p>This study was carried out within the MICS (Made in Italy – Circular and Sustainable) Extended
Partnership and received funding from the European Union Next-Generation EU (PIANO
NAZIONALE DI RIPRESA E RESILIENZA (PNRR) – MISSIONE 4 COMPONENTE 2, INVESTIMENTO
1.3 – D.D. 1551.11-10-2022, PE00000004). This manuscript reflects only the authors’ views and
opinions; neither the European Union nor the European Commission can be considered responsible
for them.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <sec id="sec-7-1">
        <title>The author(s) have not employed any Generative AI tools.</title>
        <p>[1]
[2]</p>
      </sec>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>H.-J.</given-names>
            <surname>Fecht</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Mohr</surname>
          </string-name>
          , Metallurgy in Space:
          <source>Recent Results from ISS. Springer Nature</source>
          ,
          <year>2022</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          <source>In: Journal of Physics: Conference Series. IOP Publishing</source>
          ,
          <year>2011</year>
          , p.
          <fpage>012057</fpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          <string-name>
            <given-names>E. C.</given-names>
            <surname>Okress</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D. M.</given-names>
            <surname>Wroughton</surname>
          </string-name>
          , G. Comenetz,
          <string-name>
            <given-names>P. H.</given-names>
            <surname>Brace</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. C. R.</given-names>
            <surname>Kelly</surname>
          </string-name>
          ,
          <article-title>Electromagnetic levitation of solid and molten metals</article-title>
          .
          <source>Journal of applied physics</source>
          ,
          <year>1952</year>
          ,
          <volume>23</volume>
          .5:
          <fpage>545</fpage>
          -
          <lpage>552</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          <string-name>
            <given-names>F.</given-names>
            <surname>Dughiero</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Guarnieri</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Lupi</surname>
          </string-name>
          ,
          <article-title>An optimization procedure for electromagnetic confinement and levitation systems</article-title>
          .
          <source>IEEE Transactions on Magnetics</source>
          ,
          <year>1993</year>
          ,
          <volume>29</volume>
          .2:
          <fpage>1758</fpage>
          -
          <lpage>1761</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          <string-name>
            <given-names>M.</given-names>
            <surname>Bullo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Dughiero</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Forzan</surname>
          </string-name>
          , S. Lupi,
          <article-title>Laboratory Prototype of Double Frequency Longitudinal Electromagnetic Levitator for Levitation Melting</article-title>
          . Magnetohydrodynamics,
          <year>2007</year>
          ,
          <volume>43</volume>
          .2:
          <fpage>151</fpage>
          -
          <lpage>160</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          <string-name>
            <given-names>G.</given-names>
            <surname>Lohöfer</surname>
          </string-name>
          ,
          <string-name>
            <surname>J. Piller,</surname>
          </string-name>
          <article-title>The new ISS electromagnetic levitation facility-'MSL-EML'</article-title>
          .
          <source>In: 40th AIAA Aerospace Sciences Meeting &amp; Exhibit</source>
          .
          <year>2002</year>
          . p.
          <fpage>764</fpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>