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49th International Conference on Environmental Systems ICES-2019-199 7-11 July 2019, Boston, Massachusetts
Copyright © 2019 IRPI LLC
An ISS testbed approach to passive fluid phase separator
device development for life support
Logan Torres1 and Ryan Jenson2 and Mark Weislogel3
IRPI LLC, Portland, OR, 97223
Gravity passively separates gases from liquids on Earth due to buoyancy. This makes it
easy to separate and process 100% gas or liquid streams. But because such buoyancy is
essentially absent aboard spacecraft, nearly all fluid systems aboard them are, or become,
multiphase fluid systems. This outcome presents a plethora of acute fluidics challenges that
are well-known to NASA. The common theme to these issues is a lack of familiarity with large
length scale capillary fluidic phenomena that precludes proper design. If future long-term
missions are to be successful, mundane micro-gravity plumbing must be well-understood. In
response to this need, we are currently developing a testbed for the development and
exhaustive testing of next-generation capillary fluidics solutions for passive and semi-passive
phase separations that are critical to the reliable operation of current and future spacecraft
life support systems, plant and animal habitat systems, propellant/coolant management
systems, bio-fluidics processors, and passive fluids delivery and control systems for physical
sciences experiments. The single component, low profile, low-noise, and low power draw
testbed is developed for quick installation in the open ISS laboratory. Following installation,
it can be controlled from the ground for 24/7 operations for short to long duration phase
separator component testing and qualification. Quick attachment and detachment mounts for
the test devices allow for multiuser options including industry, academy, and government
users. The development and proof of concept of such a system is guided by a breadboard-style
prototype designed for use in a high-rate drop tower. The breadboard design exhibits similar
size and function as the flight ready system, as well as demonstrates the high-fidelity, high-
speed data acquisition capabilities of the system. The current state of the hardware is
presented along with the results of the preliminary low-g tests.
Nomenclature
2ϕ = Two-phase
COTS = Commercial-off-the-shelf
DDT = Dryden Drop Tower
FOV = Field-of-view
F = Flow rate
g = Gravity
go = Terrestrial gravitational constant
GUI = Graphical user interface
LED = Light emitting diode
ls = Length scale
P = Pressure
Q2ϕ = Two-phase flow rate
Qg = Gas flow rate
Ql = Liquid flow rate
T = Temperature
TRL = Technology readiness level
1 Mechanical Engineer, 11535 SW 67th Ave Portland, OR 97223 2 Principle Investigator, 11535 SW 67th Ave Portland, OR 97223 3 Principle Scientist, 11535 SW 67th Ave Portland, OR 97223
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I. Introduction
e-mixing gas-liquid streams on earth is generally a passive process due to buoyancy. Unfortunately, in orbit
buoyancy is essentially absent causing most fluid systems aboard spacecraft to become multiphase systems. This
situation produces a plethora of acute crosscutting fluidics challenges that are well known to NASA and have
significant impacts on safety, reliability, and operations.1 The challenges are due in part to a lack of familiarity with
the dynamics of large length scale (i.e., ls ~ O(1m)) capillary phenomena2 as a result of limited experimental research
in the relevant low-g environment. Capillarity is often the natural driving force for fluid orientation and flow in such
environments, but is commonly overlooked during the early stages of fluid system design and development. This
oversight can manifest in last minute modifications which may be satisfactory, but are not optimal or, under worse
cases, can lead to complete system failure on orbit. Our intent is to establish solutions to fluidic challenges where
capillary phenomena is included at the forefront of design process.
Greater designer intuition is required that can only be developed by exposure to relevant flow phenomena in the
relevant environment (i.e., low-g). Drop tower facilities provide short duration (≲ 10 s) high quality low-g (≲ 10-4go).
Parabolic flights provide longer durations (≲ 25 s) of reduced-g (≲ 10-2go), but suffer from poorly controlled initial
conditions and unsteady reduced-g levels. Neither of these methods perfectly reproduce the essentially continuous
microgravity environment aboard orbiting or coasting spacecraft. Greater capillary solution awareness and confidence
will only be achieved by direct exposure to the equivalent long duration low-g that is found on-board the ISS (≲106go).
Such exposure is crucial to gaining industry-level design confidence. Under a recent NASA SBIR Phase I effort,3 such
an effort was initiated through the design, fabrication, and demonstration of a closed loop 2-flow testbed for the
development and exhaustive testing of next-generation capillary fluidics solutions for passive and semi-passive phase
separations. Such a development is critical to gaining precious practical knowledge for the design of current and future
spacecraft fluids systems; i.e., water processing and recovery systems, air purification, plant and animal habitat
systems, propellant/coolant management systems, bio-fluidics sequencers and processors, Lab-On-Chip and Organ-
On-Chip technologies, and others. Our initial successes are currently directing our efforts towards the development of
a flight fidelity version of the testbed with the specific aim to flight qualify specific passive 2𝜙-flow separation
solutions (devices) for critical NASA and commercial aerospace applications. Terrestrial applications are also
pursued.
II. Approach
We employed a drop tower to test and demonstrate a prototype 2-flow testbed for high-TRL passive phase
separation device qualification, with future intentions of developing a flight version for the ISS. The closed-loop flow
schematic of Figure 1 suffices to convey our testbed approach. The idea is to join gas and liquid flows in numerous
ways to deliver 2-flows to any variety of phase-separating devices, conduits, and test cells. The inlet manifold
produces a vast range of laminar to transitional/turbulent flow regimes experienced aboard spacecraft. Sequentially
injecting these flows into the ‘test device’ and monitoring the outlet streams provides a highly applicable quantitative
assessment of performance. It also contributes immediately to designer understanding and intuition. The flow
parameters are varied quickly, transients and steady states are rapidly established, and exhaustive data sets are
promptly collected. Device performance limits are assessed via regime maps cast in terms of the dependent and
independent flow parameters. Closed loop operation is enabled by a novel high-TRL system-level passive phase
separator (Ref. Figure 1) that returns single phase gas and liquid to the pumps. Video and diagnostic telemetry provide
measures of inlet regimes and device performance, including system temperatures and pressures, and overall device
pressure drop. Such a system running remotely and continuously on the ISS could be completely exhausted within a
matter of days (≲10 days). During our Phase I research, our goal was to translate the main features of the Figure 1
schematic into a single remotely controlled planar device. Using primarily COTS components, we designed,
manufactured, assembled, and tested a 2-flow testbed prototype in the high rate Dryden Drop Tower (DDT).4-6 The
DDT, shown in Figure 2, is a 2.1 s dual-capsule drop tower facility. The DDT regularly performs over 1,000 drops a
year at rates of up to 100 drops per day for academic and private sector research and development. The tower provides
high quality low-g levels from 10-6 to 10-4go (depending on system configuration), which is more than adequate for
our 2-flow testbed drop tower rig.
D
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Figure 1. Schematic of highly configurable capillary −flow testbed. T, P, F, and 2 imply temperature,
pressure, flow rate, and 2-flow generator, respectively. The notional test cell shown here is a passive separation
device. Primary and secondary FOVs are indicated by red dashed outlines. The closed loop is completed by
passing 2𝝓 lines through a large verified passive phase separator ensuring single phases are returned to gas
and liquid pumps.
Figure 2. a. Portland State University Engineering Building housing b. the Dryden Drop Tower where the
capillary 2-flow rig of c. is installed and dropped in a drag shield allowing 2.1 s of free fall time.
III. Design and Assembly
Images of our breadboard capillary 2-flow testbed are shown in Figure 3 with key components highlighted. The
testbed unit is compact (56 cm x 42 cm x 13 cm), lightweight (6.4 kg), and low power (< 90W), made from 20 mm
T-slotted aluminum frame with acrylic panels. The top mounting panel consists of a diffuse white acrylic sheet which
is back-illuminated by an LED light panel. The flow circuit components are attached to the top panel by press-fit holes
and bolts. The deck is integrated into the drop tower rig shown in Figure 4, which provides remote power, connection
to an onboard computer, and two overhead cameras. The camera shelf and lower deck are designed for both 1-go and
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low-g experiments. In flight configuration, a similar arrangement is expected where power and a computer interface
are provided by ISS, eliminating the need for most of the components, volume, and mass below the top deck. The two
overhead cameras provide the fields of view (FOV) identified in Figure 1. FOV-1 is the device science camera, while
FOV-2 is the overall system science camera—an excellent view for total visual confirmation and control of the system
as well as extremely rare system level science. Sample images for both testbed FOVs are provided in Figure 5.
Figure 6 provides a schematic of the actual testbed flow loop with liquid paths marked by blue arrows and gas
paths by orange arrows. In the current configuration, two variable-speed pumps provide liquid flows up to 6.5 ml/s
and gas flows up to 4.5 ml/s. Eight solenoid valves direct liquid and gas through the left side manifold channels, which
then join to generate single-phase Ql,in and Qg,in and two-phase Q2,in flows upstream of the test cell. These flows are
then directed into the test cell. Figure 7b provides a sample of various inlet flows. All regimes shown are produced
passively using a T-junction approach where phase distributions occur by regulation of water-air flow rate ratios.
Pump bypass lines with control valves provide fine flow rate control (~ 10:1 turn down ratio). Three paths are provided
for outlet connections. All outlets are passed through the low-g certified system phase separator which returns single
phase gas and liquid to the respective pumps. A syringe connected to the liquid flow path and a pinch valve connected
to the gas flow path provides system phase volume ratio control. The flow loop in Figure 6 is predominately monitored
and controlled via the laptop and LabVIEW GUI shown in Figure 8. Figure 8a shows a digital ‘switch-board’ for
cycling solenoid configurations and sending pump speed commands. The user interface also returns pressure and
temperatures for each phase. Automatically following each drop test, or upon command by the user, the data file (e.g.,
Figure 8c) is updated with time, valve configuration, pump speeds, and pressure and temperature telemetry. Once a
desired flow configuration is achieved, test cell performance as well as system wide response is captured on the
overhead cameras (ref. Figure 5). The time stamped video files are hyperlinked from the data log for ease of analysis.
Figure 3. Breadboard capillary 2-flow testbed for drop tower experiments. a. The unit is assembled from
commercial parts sourced for ease of assembly and modularity. b. The back-mounting plate is made of diffuse
white Acrylic which is illuminated from behind by LED lighting, allowing for complete system wide flow
visualization. c. The main structure of the unit is comprised of a 20 mm T-slotted aluminum extrusion frame,
a diffuse white acrylic mounting panel, and an acrylic LED backlight panel. d. The testbed is small and light
enough to be easily hand carried, with external dimensions of 56 cm x 42 cm x 13 cm and mass of 6.4 kg.
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Figure 4. Two-phase drop tower rig. The rig provides a platform with an overhead camera shelf and bottom-
level electronic control and power supply deck with which the mid-level 2-flow testbed integrates. The lower
deck frame provides a stand for benchtop testing as well as integration into the drop tower. The testbed is
bolted to the lower deck and camera shelf with electrical connections between the testbed unit and the control
system including sensor connections, pump motor connections, and valve connections.
Figure 5. a. Two top FOV cameras over 2-flow testbed. b. FOV-2 provides system wide flow visualization to
inlet and outlet manifolds, system phase separator, test cell(s), etc., whereas FOV-1 provides magnified view of
test cell performance. c.-d. FOV-1 also provides high resolution views of device inlets and outlets allowing
accurate regime characterization and flow rate/pump calibration via digital image processing techniques.
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Figure 6. Overhead view of top deck with flow paths marked by colored arrows. Various single-phase and two-
phase inlet conditions are supplied to the test cell from the left side manifold. Multiple outlet connections are
possible to accommodate various test cell designs. All outlets pass through the phase separator before returning
to the loop. Liquid/gas volume ratio is controlled by syringes located middle right. System level temperature
and pressure of both phases are monitored at the pump outlets. A future flight system will provide further
control and automation such as temperature, pressure, and total phase volume ratio control.
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Figure 7. a. Closed-loop capillary 2𝝓-flow schematic as built and tested in 2.1 s drop tower. b. Selection of
highly controlled/highly ordered 2𝝓-flow regimes achieved passively by T-junction approach and delivered as
inlet flows to the test cell to study phase redistribution, stability, and separation. An extremely wide range of
flow patterns are possible including new/rare regimes such as rupturing annular or slug annular flow leading
to intermittent air-driven wall-bound drops and rivulets. Annular flows are generally characterized by a ring
of liquid flow and a core of gas flow, either attached along the tube wall or unstably breaking up. Discrete
volumes of liquid slugs and gas bubbles can vary in volume fraction and flow rate. These flows are ideal as feed
streams to the significantly more complex geometries of the capillary devices to be tested. c. Selection of
resulting regimes during bench top testing.
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Figure 8. a. The 2𝝓-flow testbed is controlled remotely using a LabVIEW GUI. b. User input to the laptop
provides control of pump speeds and valve configurations while returning current gas and liquid phase
temperatures, pressures, and flow rates. c. The LabVIEW program automates data acquisition during
experiments by exporting the valve configuration, pump speeds, and gas and liquid temperature and pressure
to a text file through low-gravity detection or by user command. A two-FOV camera video archive may be
constructed real time with hyperlinks to all diagnostics.
IV. Demonstrations and Results
Automated control of the testbed enables a high rate of data acquisition. We demonstrate such capabilities both by
examining bench top experiments as well as drop tower test results. Our bench top tests mimic the expected operations
in the flight system once installed on the ISS. First, desired flow rates and valve configurations are set using the
LabVIEW user interface. The system is then left to reach steady/quasi steady state conditions (usually occurring within
< 60 s). Once in steady state, the cameras are triggered to record for 30 s to capture inlet conditions, test cell
performance, outlet conditions, and overall system response. After the video data is recorded a new flow configuration
is sent and the process is repeated. On our first attempt, 30 data points were acquired within a 45 min period. Drop
tower experiments are conducted in a similar manner, though we note that the 2.1 s of free-fall does not always allow
steady state conditions to be met. However, reorientation of the phases in the test cell and the corresponding
performance response is indictive of what to expect during low-g operation. With actual system control occurring in
a matter of seconds, most of the time consumed during a drop tower experiment is spent for nominal tower functions.
Nonetheless, drop tower experiment turnaround is achieved at a rate of roughly 3.3 min/drop (~ 18 drops/hr), a rate
higher than the highly successful 2-flow Capillary Channel Flow experiment aboard ISS.7
Results for the passive phase separator we present here are depicted in Figure 9. The inline conduit interfaces with
the testbed tubing through 4.8 mm barbed fittings. This device accommodates one 2 inlet and two 1 outlets
(sources). Thousands of data points may be collected for this single device for a wide variety of possible inlet/outlet
flow conditions and device configurations. One data set varying only flow rate ratios using air and partially wetting
contaminated water is shown in the regime map of Figure 9b and Table 1. In Figure 9b, the symbols correspond to
observed regimes and the regime transitions are delineated by black lines. Select images of the phase separator device
performance are shown in Figure 10, where it is clear under what conditions the devices fails or succeeds. Even from
these preliminary tests we identify mechanisms that explain device performance and inspire new directions for device
design. Demonstrations such as presented herein are rare in low-g fluid experiments, where poorly, but typically,
wetting fluids are often looked over for more ideal highly wetting fluids. Furthermore, system wide flow visualization
(Ref. Figure 5b) provides additional insight into system hardware performance and flow behavior at junctions, fittings,
a.
b.
c.
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and valves. We will continue to exploit this drop tower version of the capillary 2-flow testbed to develop and qualify
such passive separating technologies for space applications.
Figure 9. a. Sample test cell employed for drop tower tests. This test cell is pursued more as a conduit segment
than as a device and was selected for its passive phase-separating characteristics. Qualification tests on such
conduits/devices is critical to assess the flow rate ranges that achieve the desired separation function for given
geometry, wetting conditions, exit conditions, etc. b. Sample regime map collected within 45 min period. The
phase separating performance of the device is shown quantitatively in terms of flow rate ratio (correlated from
applied pump voltages Vg and Vl) with images of regime provided, where triangle symbols identify conditions
of 100% liquid flow separation.
Table 1. Sample regime map data collected as displayed in Fig. 9. The two FOV video clips are employed to
create a video archive that can be constructed with hyperlinks to all diagnostics and regime maps.
Vliq Vgas Pgas (psig) Pliq (psig) Tgas (C) Tliq (C) Relative Video path Liq.Ingestion GasIngestion GasOutState LiquidOutState Video Link
3.00 6.50 -0.03 0.21 26.81 29.03 SingleTestCell_RegimeMapTests\6o5\3o0.MP4 Y Y Periodic Slug Periodic Drain video
3.50 6.50 0.05 0.31 26.82 30.51 SingleTestCell_RegimeMapTests\6o5\3o5.MP4 Y Y Periodic Slug Periodic Drain video
4.00 6.50 0.11 0.75 26.95 31.49 SingleTestCell_RegimeMapTests\6o5\4o0.MP4 Y Y Periodic Slug Periodic Drain video
5.00 6.50 0.20 0.93 26.93 32.68 SingleTestCell_RegimeMapTests\6o5\5o0.MP4 Y Y Periodic Slug Periodic Drain video
6.00 6.50 0.26 1.02 26.91 33.72 SingleTestCell_RegimeMapTests\6o5\6o0.MP4 Y Y Periodic Slug Periodic Bubble Ingestion video
7.00 6.50 0.28 1.38 27.06 34.71 SingleTestCell_RegimeMapTests\6o5\7o0.MP4 Y Y Periodic Slug Periodic Bubble Ingestion video
8.00 6.50 0.36 1.95 27.31 36.10 SingleTestCell_RegimeMapTests\6o5\8o0.MP4 Y N Periodic Slug 1phase video
9.00 6.50 0.46 1.97 27.35 36.57 SingleTestCell_RegimeMapTests\6o5\9o0.MP4 Y Y Periodic Slug Merging Bubble Ingestion video
12.00 6.50 0.47 2.50 27.60 37.34 SingleTestCell_RegimeMapTests\6o5\12o0.MP4 Y N Periodic Slug 1phase video
14.00 6.50 0.50 2.73 27.68 37.67 SingleTestCell_RegimeMapTests\6o5\14o0.MP4 Y N Periodic Slug 1phase video
3.00 12.00 0.36 0.65 28.11 35.21 SingleTestCell_RegimeMapTests\12o0\3o0.MP4 Y N Sparse Slug 1phase video
4.00 12.00 0.40 1.30 28.09 36.54 SingleTestCell_RegimeMapTests\12o0\4o0.MP4 Y N Sparse Slug 1phase video
5.00 12.00 0.43 1.45 28.22 37.31 SingleTestCell_RegimeMapTests\12o0\5o0.MP4 Y N Periodic Slug 1phase video
6.00 12.00 0.46 1.91 28.36 37.87 SingleTestCell_RegimeMapTests\12o0\6o0.MP4 Y N Periodic Slug 1phase video
7.00 12.00 0.49 1.96 28.51 38.24 SingleTestCell_RegimeMapTests\12o0\7o0.MP4 Y N Periodic Slug 1phase video
8.00 12.00 0.52 2.02 28.57 38.52 SingleTestCell_RegimeMapTests\12o0\8o0.MP4 Y N Periodic Slug 1phase video
9.00 12.00 0.55 2.17 28.71 38.82 SingleTestCell_RegimeMapTests\12o0\9o0.MP4 Y N Slug 1phase video
10.00 12.00 0.55 2.83 28.72 39.01 SingleTestCell_RegimeMapTests\12o0\10o0.MP4 Y N Slug 1phase video
12.00 12.00 0.55 2.68 28.75 39.19 SingleTestCell_RegimeMapTests\12o0\12o0.MP4 Y N Slug 1phase video
14.00 12.00 0.57 2.83 28.85 39.30 SingleTestCell_RegimeMapTests\12o0\14o0.MP4 Y N Slug 1phase video
3.00 20.00 0.48 0.76 29.53 38.65 SingleTestCell_RegimeMapTests\20o0\3o0.MP4 Y N Sparse Slug 1phase video
4.00 20.00 0.52 1.47 29.44 38.26 SingleTestCell_RegimeMapTests\20o0\4o0.MP4 Y N Sparse Slug 1phase video
5.00 20.00 0.53 1.64 29.61 39.16 SingleTestCell_RegimeMapTests\20o0\5o0.MP4 Y N Periodic Slug 1phase video
6.00 20.00 0.57 1.55 29.71 39.82 SingleTestCell_RegimeMapTests\20o0\6o0.MP4 Y N Periodic Slug 1phase video
7.00 20.00 0.61 1.85 29.82 40.52 SingleTestCell_RegimeMapTests\20o0\7o0.MP4 Y N Periodic Slug 1phase video
8.00 20.00 0.60 2.25 29.91 40.62 SingleTestCell_RegimeMapTests\20o0\8o0.MP4 Y N Slug 1phase video
9.00 20.00 0.59 2.50 29.79 40.45 SingleTestCell_RegimeMapTests\20o0\9o0.MP4 Y N Slug 1phase video
10.00 20.00 0.59 3.17 29.84 40.49 SingleTestCell_RegimeMapTests\20o0\10o0.MP4 Y N Slug 1phase video
12.00 20.00 0.60 2.73 29.90 40.74 SingleTestCell_RegimeMapTests\20o0\12o0.MP4 Y N Slug 1phase video
14.00 20.00 0.61 3.03 29.98 40.80 SingleTestCell_RegimeMapTests\20o0\14o0.MP4 Y N Slug 1phase video
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Figure 10. Sample images for regimes identified in Figure 9b spanning 100% passive liquid/gas separation to
mixed regimes of periodic liquid/gas ingestion. Even outside ideal limits (i.e., 100% passive phase separation),
the quality of 2ϕ flow at the liquid and gas sources is enhanced as the respective volume fraction of liquid or
gas at the sources increases.
V. Transfer to Flight level and concluding remarks
Herein, we have described the design, assembly, and testing of a drop tower 2-flow testbed for phase separation
device qualification in low-g environments. Continuing forward, we are currently transferring our successes into
design concepts for an advanced flight fidelity system. Further optimization of the size, weight, and power is found
through state-of-the-art manufacturing techniques for manifolds and connections and advanced component selection
including considerations for size, shape, performance, and reliability. Use of NASA heritage (high TRL) equipment
ensures streamlined ISS qualification, and compact size and low power characteristics affords versatile integration
with ISS facilities such as the Maintenance Work Area (MWA), Microgravity Science Glovebox (MSG), Fluids
Integrated Rack (FIR), or others. Employing low-toxicity partially wetting water allows for open cabin integration as
well as replicates the poorly wetting behavior of many actual life support and fluid management systems. Automated
control and real-time down link of video and telemetry allows on-the-fly management and reduction of data. The quiet
solid-state device will require less than 1 hour of crew time for setup and deployment upon which it can operate
remotely for hours, days, or weeks without crew interference. Quick attachment and detachment mounts for the test
cell devices allow multiuser opportunities, inspiring other entities to develop such components and expanding ISS
utilization.
Life support systems on-board spacecraft are replete with multiphase flows, further complicated by partially wetting
and contaminating liquids. High reliability for such systems is in need for obvious reasons. However, to our
knowledge, no multiphase investigations aim to provide direct technology solutions that are COTS-marketable across
a broad range of applications. We believe that high-TRL passive capillary devices, exhaustively tested using this
testbed approach in the relevant low-g environment, can meet such needs. The ISS presents an ideal platform for such
device invention and qualification via the 2-flow testbed approach.
Acknowledgments
Support for this research was provided through NASA SBIR Phase I Contract No. 80NSSC18P1991: CoTRs John
McQuillen and Hunt Hawkins, NASA Glenn Research Center.
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References 1National Academies, Congress Appointed NRC Decadal Review of NASA, 8/2009 to 5/2012 (Physical Sciences); National
Research Council, Recapturing a Future for Space Exploration, National Academic Press, Washington DC. (Chpt 9, Applied
Physical Sciences) 2Langbein, D., Capillary Surfaces: Shape-Stability-Dynamics, in Particular under Weightlessness, 1st ed., Springer-Verlag,
New York, 2002.
3Jenson, R., Weislogel, M., “ISS Testbed for Capillary Two-Phase Flow Device Qualification,” NASA SBIR Phase I, Contract
No. 80NSSC18P1991, CoTR John McQuillen, GRC, 2018. 4“Dryden Drop Tower,” Portland State University [public university], URL: http://www.ddt.pdx.edu/ 5Wollman, A., and Weislogel, M., “New investigations in capillary fluidics using a drop tower,” Experiments in fluids, Vol.
54, No. 4, 10 April 2013, p. 1499. 6Wollman, A., “Capillarity-Driven Droplet Ejection,” M.S.M.E. Thesis, Dept. of Mechanical Engineering, Portland State Univ.,
Portland, OR, 2016. 7Conrath, M., Canfield, P. J., Bronowicki, P. M., Dreyer, M. E., Weislogel, M. M., & Grah, A., “Capillary channel flow
experiments aboard the International Space Station,” Physical review E, Vol. 88, No. 6, 10 Dec. 2013, p. 063009.