3.1. Simulation Platform and Model Architecture
Siemens AMESim (Simcenter Amesim, version 2021; Siemens Digital Industries Software, Plano, TX, USA) was selected as the simulation platform on account of its mature hydraulic component libraries, robust numerical solvers, and capacity for mixed mechanical–hydraulic–signal modelling within a single environment. AMESim has been widely employed for the dynamic analysis of water-hydraulic systems and small-scale desalination circuits, and its validated check-valve, directional-valve, and piston-cylinder models are directly applicable to the present device.
The complete hydraulic circuit was assembled from four standard AMESim libraries: the Hydraulic library (fluid power components), the 1D Mechanical library (rigid-body kinematics), the Hydraulic Component Design (HCD) library (parametric piston elements), and the Signal library (control signals and data acquisition). The resulting model, shown in
Figure 2, is organized into two functionally distinct sub-systems: (i) the valve-commutated plunger-pump assembly together with its swash-plate drive mechanism; and (ii) the hydraulic energy recovery circuit centred on the two-position, three-way (2/3) directional valve.
The overall circuit logic follows the operating sequence established by the hydraulic schematic: during the intake stroke the directional valve is in the left position, the inlet check valve opens and raw seawater fills the blind-end cavity while brine in the rod-end drains through the T port; during the delivery stroke the valve shifts to the right position, the outlet check valve opens, seawater is pressurized and delivered to the RO membrane, and high-pressure brine from the membrane is simultaneously admitted into the rod-end cavity through the P port to assist the piston.
3.2. Pump Sub-System Modelling
The physically manufactured pump is a valve-commutated piston pump. For the purpose of simulating steady-state freshwater production characteristics, the pump is modelled in AMESim as a valve-commutated plunger pump, which shares the same operating principle—periodic blind-end filling and expulsion controlled by check valves—while offering a numerically cleaner representation of the piston-cylinder interface. This modelling choice does not affect the flow-rate, pressure, or force results that are of primary interest in this study.
The pump cylinder is represented by two coupled HCD piston-cylinder elements: a blind-end (rod-free) element and a rod-end element, whose geometric parameters are configured to reflect the physical dimensions of the fabricated pump cylinder, as detailed in
Table 1 below.
A variable-volume chamber element is connected in parallel with the blind-end port, with its minimum volume set to approximately 1% of the blind-end swept volume. This element serves as a numerical compliance buffer, preventing pressure singularities at stroke reversal when the instantaneous volumetric flow transitions from inflow to outflow.
In addition, the manually operated piston rod is modelled by an equivalent swash-plate mechanism—a standard representation in AMESim for axial-piston machines—in which a rotary motor drives a swash plate that converts rotational motion into the reciprocating axial displacement of the plunger. The equivalence is exact for sinusoidal piston kinematics.
Figure 3 illustrates the geometric derivation of the plunger displacement law.
With reference to
Figure 3, when the swash plate has rotated through angle θ, its radius R projects onto the radial perpendicular plane as:
The axial component of this projection, defined as the plunger displacement measured from the top-dead-centre position, is:
where α is the fixed swash-plate inclination angle (α = 30° in the present model). From this equation, the maximum effective stroke is:
Setting L = 70 mm and α = 30° gives R = L/(2 sin 30°) = 70/(2 × 0.5) = 70 mm. This value of R = 70 mm (represented as 0.07 m in SI units) is entered as the gain factor in the AMESim formula block. The swash-plate inclination α = 30° is the constant input to the formula block. The angle signal θ (in degrees converted to radians within the block) is provided by an angle sensor connected to the rotary motor output. The formula entered into the AMESim expression editor is:
where x is the inclination angle input (30°) and y is the real-time swash-plate rotation angle θ from the sensor. The product of this formula and the gain R yields the time-varying plunger displacement l′(t). The rotary motor speed is set to 6 rev/min. Given the swash-plate kinematic relationship, this yields a peak plunger velocity of 0.044 m/s. Since the plunger follows a sinusoidal velocity profile, its RMS velocity is equal to the peak value divided by √2, giving an RMS velocity of approximately 0.031 m/s, which closely matches the manual operation target of 0.03 m/s. The RMS velocity, rather than the peak velocity, is used as the matching criterion because it represents the effective time-averaged velocity over a complete stroke cycle and therefore provides a more physically meaningful basis for comparing the simulated pumping effort with the sustained hand-operation condition.
Figure 4 shows the resulting plunger displacement and velocity traces over 30 s of simulation (three complete cycles at 0.1 Hz). The velocity curve is the corresponding negative sine wave with peak magnitude 0.044 m/s.
3.3. Energy Recovery Sub-System Modelling
The energy recovery sub-system is composed of four AMESim elements: the 2/3 directional valve, a square-wave signal source, a hydraulic cylinder representing the brine concentrate accumulation vessel, and a relief valve representing the RO membrane module.
The 2/3 directional valve is modelled as a solenoid-actuated proportional valve with a rated current of 40 mA. Since the overall device is very compact and flow velocities through the valve are low, pressure-drop effects across the valve are negligible and are not modelled. The valve parameter settings are listed in
Table 2.
Valve switching is controlled by a square-wave signal source with the parameters listed in
Table 3. The signal transitions between 0 mA (left position, intake stroke) and 40 mA (right position, delivery stroke) at a frequency of 0.1 Hz, precisely synchronized with the plunger displacement curve: when the plunger displacement l′ is positive (intake half-cycle), the signal output is 0; when l′ is negative (delivery half-cycle), the output is 40. This synchronization is achieved by matching the square-wave frequency and phase to the rotary motor speed at a frequency of 0.1 Hz, synchronized with the plunger displacement (0 mA during intake, 40 mA during delivery).
The RO membrane module is represented in AMESim by a pilot-operated relief valve (safety valve) with a cracking pressure of 50 bar, consistent with the design working pressure of the device. The relief valve serves a dual purpose: it imposes the required back-pressure on the high-pressure seawater delivered by the pump, thereby simulating the osmotic and hydraulic resistance of the membrane; and it provides overpressure protection by diverting excess flow back to the brine storage cylinder if the system pressure exceeds 50 bar during transient events. The relief valve parameters used in the simulation are summarized in
Table 4.
A separate hydraulic cylinder element is included in the brine circuit to model the physical volume of concentrate held in the brine discharge line. During the intake stroke, this cylinder accepts the brine volume expelled from the rod-end cavity through the T port; during the delivery stroke, it supplies brine to the rod-end cavity through the P port. The brine cylinder does not represent an additional energy storage device; it serves purely as a lumped-volume element to balance the brine mass in the circuit.
3.4. Simulation Results and Analysis
Because the device is intended for seawater desalination, the working fluid throughout the entire AMESim model—including both the raw seawater side and the brine side—is declared as seawater rather than the default mineral hydraulic oil. The fluid properties were assigned using AMESim’s fluid declaration element and are listed in
Table 5. The values correspond to standard ocean water at the experimental ambient temperature of 23.2 °C.
The declared bulk modulus of 23,500 bar is characteristic of seawater at moderate pressure and is considerably higher than that of mineral oil (~14,000 bar), which increases the hydraulic stiffness of the modelled system and reduces pressure transients at valve switching events. The viscosity of 5.49 × 10−4 Pa·s is substantially lower than that of typical mineral hydraulic oil, which lowers viscous friction losses in the valve spool and check-valve spring elements.
The simulation was run for a total duration of 30 s at an integration step of 1 ms, covering exactly three complete pumping cycles (one cycle = 10 s at 0.1 Hz). All results presented below are taken from steady-state operation; the first 0–2 s transient associated with hydraulic system initialization is excluded from quantitative analysis. Key simulation results and their comparison with design targets are summarized in
Table 6.
The 49.5% energy-saving ratio reported above is derived from the AMESim simulation, in which the directional valve is treated as leak-free and the hydraulic connections as loss-free. In the physical device, several non-ideal effects would reduce the actually attainable recovery ratio: finite spool clearance in the 2/3 directional valve permits a small cross-port leakage of high-pressure brine; hydraulic losses arise in the connecting passages and at the valve ports; and mechanical friction occurs at the piston seals, the lever pivot, and the sliding pairs. Each of these dissipates a fraction of the recoverable brine energy, so that the effective in-service energy-saving ratio is expected to be somewhat lower than the simulated value. A direct experimental determination of the recovered force—by instrumenting the prototype with an in-line force sensor on the piston rod—is therefore identified as a priority for future validation of the energy-recovery performance.
Figure 5 shows the flow rate at the blind-end cavity port as a function of time. The waveform is quasi-cosinusoidal with peak magnitude approximately ±0.085 L/min and period 10 s, consistent with the swash-plate kinematic model. Positive flow corresponds to the intake stroke (seawater inflow into the blind end); negative flow corresponds to the delivery stroke (seawater outflow). The waveform is symmetric about zero, confirming that the intake and delivery stroke volumes are equal, as required by the constant-velocity pumping assumption.
The two check valves correctly separate the intake and delivery flows, and the mass balance across the pump is preserved throughout the cycle.
Figure 6 shows the rod-end cavity flow rate. During the delivery stroke, high-pressure brine is admitted into the rod-end through the P port of the 2/3 directional valve, producing a positive flow peak of approximately 0.047 L/min. During the intake stroke, the residual brine in the rod-end is expelled through the T port (brine drain line), producing a negative flow trough of the same magnitude. The waveform is again quasi-sinusoidal.
Figure 7 presents the overlay of the blind-end (seawater) and rod-end (brine) flow-rate curves. During the delivery stroke, both the outward seawater flow at the blind end and the inward brine flow at the rod end occur simultaneously, consistent with the device operating principle: the pump pressurizes seawater toward the membrane while brine pressure assists the piston from the opposite face. The difference between their peak magnitudes—approximately 0.038 L/min—represents the net volume displaced by the piston rod per unit time, which corresponds to the theoretical maximum freshwater production rate per cycle. Taking the RMS value of this difference over a complete stroke cycle yields a net freshwater flow rate of approximately 0.020 L/min, equivalent to 1.20 L/h. This result agrees exactly with the analytical design prediction, confirming internal consistency between the hydraulic sizing model and the dynamic simulation.
The 2/3 directional valve correctly routes the brine to the rod-end cavity during delivery and to the drain during intake, with no cross-port leakage in the simulation.
During the intake stroke (signal = 0, left position), port P is blocked and port A communicates with port T: brine from the rod-end cavity flows outward through A and drains via T. During the delivery stroke (signal = 40, right position), port T is blocked and port A communicates with port P: high-pressure brine from the membrane brine outlet flows inward through P and into the rod-end cavity via A. This behaviour is confirmed by the simulation: port P exhibits zero flow during the intake half-cycle and non-zero flow during the delivery half-cycle, while port T shows the opposite pattern. Port A alternates accordingly.
The peak flow rate at each of the three ports is approximately 0.046–0.047 L/min, which is equal to the rod-end cavity peak flow. This equality is expected because the directional valve is the sole pathway for brine to enter and exit the rod-end, and any pressure-drop effect is negligible at this scale. The equality of peak flow rates across all three ports additionally confirms that the valve introduces no internal leakage or bypass in the simulation, consistent with the zero-clearance spool model used.
The brief flow impulses visible at the switching instants (t = 5, 10, 15, 20, 25 s) are a numerical artefact caused by the discontinuous step transition of the square-wave signal. In the instantaneous moment of valve switching, the rod-end cavity volume is transiently disconnected from both the P and T supply lines, causing a pressure equalization pulse. The duration of these pulses is less than 0.05 s (five integration steps), and their integrated volume is below 0.001 mL per event—negligible relative to the 4.7 mL stroke volume. They have no physical counterpart in the actual manually switched device, where valve switching is gradual and mechanically constrained.
The algebraic relationship that governs the mass balance at the membrane node is:
where
qblind,out is the seawater volumetric outflow from the blind end (delivery stroke),
qmembrane is the flow through the relief valve (membrane permeate + concentrate, treated here as the concentrate bypass), and
qrod,in is the brine inflow to the rod-end. From the simulation: the sum of the relief valve peak (0.072 L/min) and the rod-end peak (0.047 L/min) is 0.119 L/min at t = 7.5 s, the apparent difference from the blind-end outflow peak of 0.085 L/min arises from the phase offset between the individual peaks (which do not occur at the same instant) rather than from any violation of mass conservation, as confirmed by the instantaneous balance holding at each time step.
Figure 8 shows the net axial force acting on the piston rod as a function of time, which is equivalent to the manual push/pull force required of the operator. The simulation yields a peak intake pull force of 141 N and an RMS value of approximately 99 N, while the delivery stroke requires a peak push force of only 72 N with an RMS value of approximately 50 N.
The energy consumed per stroke is proportional to the product of the force and the stroke length
. The energy required for the intake stroke is
, and for the delivery stroke
. The fractional energy saving due to the brine-assist mechanism is therefore:
The physical origin of this force reduction is the high-pressure brine acting on the annular rod-end face of the piston during the delivery stroke. At the membrane operating pressure of 50 bar, the brine exerts a passive assistive force on the rod-end annular face that partially counteracts the resistance encountered during seawater pressurization, thereby reducing the net push force required of the operator. The analytical estimate of this assistive force is consistent with the simulated peak force reduction of approximately 69 N (from a peak pull force of 141 N during intake to a peak push force of 72 N during delivery); the recovered force does not reach the full theoretical value because the brine pressure in the rod-end cavity varies dynamically throughout the delivery stroke and the full membrane operating pressure of 50 bar is not sustained over the entire half-cycle.
Considering the combined effect of brine-assisted energy recovery and the lever mechanical advantage, the operator experience is considerably more manageable than the raw piston forces suggest. Without the lever, the intake stroke would require a peak pull force of 141 N, which is at the upper limit of comfortable sustained one-handed operation. With the 5.7:1 lever mechanical advantage, the equivalent grip force at the handle tip is reduced to approximately 25 N during the intake stroke and approximately 13 N during the delivery stroke—both well within the range of comfortable, prolonged manual operation—confirming that the device can be operated continuously without undue fatigue.
3.5. Prototype Fabrication and Performance Testing
A fully functional prototype was fabricated to the dimensions (200 × 128 × 63 mm). The prototype is shown in
Figure 9. The assembly is organized vertically into three structural sections: the upper lever handle provides the actuating moment; the middle trapezoidal body houses the piston pump above and the directional valve below; and the lower cylindrical canister contains the RO membrane module.
Table 7 lists the key geometric and material parameters of the fabricated prototype.
Because the experiments were conducted under controlled laboratory conditions, authentic ocean water was not available; artificial seawater was prepared by dissolving instant marine sea-salt crystals in deionized water. The target salinity was 3.5% (w/w), representing typical open-ocean salinity (33–35 g/L NaCl equivalent).
Preparation procedure: a known mass of sea-salt crystals was added to deionized water in a 2 L graduated beaker and stirred until fully dissolved. Salinity was measured using a handheld ion (salinity) meter, which reads salinity and temperature simultaneously. The salt-to-water ratio was iteratively adjusted until the measured salinity stabilized at 3.57 ± 0.05% at the experimental ambient temperature of 23.2 °C (296.4 K). This value was recorded as the feed salinity, C_feed = 3.57%, for all five experimental trials.
The choice of 3.57% salinity—slightly above the average ocean salinity of 3.5%—is deliberate: it represents a moderately challenging feed condition that provides a conservative (slightly pessimistic) benchmark for the desalination rate, since a higher salt concentration increases the osmotic pressure and therefore the energy required for separation. The experimental setup is shown in
Figure 10, comprising the prototype device and three vessels: a feed bucket (right) containing the artificial seawater feed at 3.57% salinity, into which the prototype inlet tube is fully submerged; a brine discharge bucket (left) collecting the concentrated brine expelled from the device without recirculation; and a 200 mL graduated glass beaker on the bench collecting the product water from the freshwater outlet tube.
Before each trial, both collection vessels were emptied and dried, the feed salinity was confirmed within 3.57 ± 0.05%, and the product water beaker was tared to zero. Each trial consisted of 120 continuous manual pump strokes at a steady cadence of 1 Hz over 2 min, maintaining a consistent grip force and stroke amplitude throughout. At the end of each trial, the accumulated product volume was read from the graduated beaker to the nearest 2 mL graduation, and the product salinity was measured with the handheld salinity meter, which was rinsed with deionized water between measurements. The beaker was then emptied and dried, and the feed salinity was re-confirmed before proceeding to the next trial. Five consecutive trials were conducted (Trials 1–5) using the same feed solution. The freshwater production rate (flow rate) was calculated from the accumulated volume and the trial duration:
where
Vproduct is the measured product volume and t = 2 min is the trial duration. The desalination rate (salt rejection) was calculated as:
where
Cfeed = 3.57% is the measured feed salinity and
Cproduct is the measured product salinity for that trial. The measured results for all five trials are presented in
Table 8.
Trials 2–4 yield a mean freshwater flow rate of 1150 mL/h with a standard deviation of 30 mL/h, which is 4.2% below the AMESim simulation prediction of 1200 mL/h. This discrepancy is physically consistent with two simplifications inherent in the simulation model. First, the AMESim check valves are modelled as ideal elements that switch instantaneously between fully open and fully closed states, whereas in the physical prototype the ball-type check valves have a finite response time governed by spring stiffness and ball inertia; during the brief transitional period at each stroke reversal, partial backflow through the closing valve reduces the net displaced volume per cycle. Second, the 2/3 directional valve spool operates with a finite diametric clearance, whereas the simulation treats the valve as having zero internal leakage; in practice, a small cross-port leakage flow exists throughout the pumping cycle, further reducing the net seawater delivery to the membrane. Both effects are intrinsic to the physical construction of the device rather than operational variability, which is consistent with the low inter-trial standard deviation of 30 mL/h (coefficient of variation 2.6%) observed across Trials 2–4.
The standard deviation of 30 mL/h (2.6% of the mean) indicates good repeatability across Trials 2–4, confirming that the manual pumping cadence is consistent and that the device operates in a stable regime under these conditions.
Trials 2–4 yield a mean desalination rate of 95.90% with a standard deviation of 0.75%. The mean residual product salinity is 0.146%, corresponding to a total dissolved solids (TDS) concentration of approximately 1.46 g/L (expressed as NaCl). This value is well below the seawater feed concentration of 35.7 g/L, representing a salt rejection of about 95.9%, and lies below the WHO short-term acceptability threshold of 5 g/L TDS recommended for emergency drinking-water supply. It should be noted, however, that the corresponding sodium concentration (~0.57 g/L) still exceeds the WHO taste-based guideline of 200 mg/L and the 500 mg/L threshold; the product water is therefore intended as an emergency, short-duration potable source rather than as a long-term drinking-water supply. Further reduction in the residual salinity, for example by increasing the operating pressure or adopting a two-stage configuration, is identified as a direction for future improvement.
Two membrane-related phenomena that were not explicitly modelled in the present study but that influence the observed desalination performance deserve comment. First, concentration polarisation—the accumulation of rejected salt in a boundary layer adjacent to the membrane surface—locally elevates the wall salinity above the bulk feed value and therefore reduces the effective net driving pressure, contributing to the gap between the manufacturer-rated rejection (96–99.5%) and the measured steady-state value of 95.9%. This effect is expected to be more pronounced in the present device because the low, intermittent manual flow provides limited cross-flow to sweep the boundary layer. Second, membrane fouling—the progressive deposition of foulants on the membrane—would, over extended operation, further reduce permeate flux and rejection. In the intended emergency application, where continuous operation is measured in days to weeks rather than months to years, long-term fouling is not the governing constraint, and simple pre-settling or low-pressure pre-filtration of the raw seawater would be sufficient to protect the element over the required service interval. A dedicated long-term fouling and membrane-replacement study under real seawater conditions is nevertheless identified as important future work.
The relatively low DR in Trial 1 (90.14%) is a direct consequence of first-time membrane priming: the membrane housing contained a small volume of saline water from the manufacturing and assembly process, which mixed with the first batch of product water before the system reached a steady operating condition. This is a well-known start-up effect in spiral-wound RO systems and is not indicative of the membrane’s actual salt rejection capability. Under sustained operation, the RO membrane’s inherent salt rejection (specified at 96–99.5% for seawater-grade TFC polyamide membranes at 50 bar) is well above the observed steady-state value of 95.9%, suggesting that the membrane is operating within, but not at the upper bound of, its rated performance range. The gap between the manufacturer’s rated rejection and the measured value is attributable to the sub-optimal operating pressure (the circuit pressure was not independently measured but is expected to be somewhat below 50 bar due to the internal losses) and possible minor bypass through the imperfect seals of the prototype membrane canister.
Table 9 compares the key experimental results (Trials 2–4 mean) with the AMESim simulation predictions and the original design targets.
The agreement between simulation and experiment is satisfactory: the flow rate prediction is within 4.2% of the measured value, which is well within the acceptable engineering tolerance given the simplifications inherent in the AMESim model (ideal check valves, zero spool leakage, uniform seawater properties). The desalination rate exceeds the design target of 95% in all three valid trials. The device dimensions match the design exactly, confirming that the SolidWorks (version 2021; Dassault Systèmes SolidWorks Corp., Waltham, MA, USA) model translates faithfully into the physical prototype.
The single-pass recovery ratio of the device can be estimated directly from the pump geometry. Since the net permeate volume delivered per stroke equals the rod-swept volume while the seawater volume drawn in equals the blind-end swept volume, the geometric recovery ratio is r = d2/D2 = (3.7/6)2 ≈ 0.38. It should be emphasised, however, that this figure differs conceptually from the recovery ratio of a conventional RO plant, because in the present device the high-pressure reject brine is not discarded but is instead redirected into the rod-end cavity for energy recovery; the brine and permeate streams therefore remain coupled through the piston kinematics rather than being independently metered. The relatively small membrane area of the compact single element limits the absolute permeate throughput, and consequently the effective freshwater recovery per unit of feed processed remains modest. Increasing the membrane area—for example by adopting a higher-area module—would raise the achievable recovery, but would simultaneously increase the volumetric flow that must be pressurised per stroke and therefore the manual cranking effort. The chosen geometry (d/D ≈ 0.62) thus reflects a deliberate compromise between freshwater yield, energy-recovery ratio, and sustained hand-operability, as formalised in Equation (4).
As summarised in
Table 10, existing portable RO systems occupy two extremes. Hand-operated units such as the Katadyn Survivor 06 (Katadyn Products AG, Wallisellen, Switzerland) achieve excellent salt rejection (98.4%) but deliver only about half the freshwater output of the present device and incorporate no active energy recovery, so the entire pumping effort must be supplied by the operator against the full membrane back-pressure. Motor-driven ROWPU-class systems offer far higher throughput but require tens of kilowatts of generated power and vehicle-scale logistics, disqualifying them from individual carriage. Compact powered portable units integrate an onboard pump within a self-contained housing but rely on a stored power source and likewise incorporate no brine energy-recovery mechanism. Against this background, the distinguishing feature of the present device is that it is the only hand-held, fully manual unit among those surveyed to integrate a passive hydraulic brine energy-recovery circuit. The 49.5% brine-assisted force saving demonstrated in simulation represents a meaningful ergonomic advantage: for sustained manual operation in emergency maritime conditions, approximately halving the pumping effort can substantially extend the operational endurance of an individual user, while the achieved output of ~1.15 L/h at >95% rejection is sufficient to meet individual short-term drinking-water needs.