Open Access Article
Yunzheng Zhang†
a,
Tao Wang†b,
Jun Zheng†a,
Wenjin Luoc,
Zhangjun Land,
Binyou Xiea,
Shushu Chenb,
Xinming Xiac,
Liuhua Mub,
Jie Jiang
*b,
Yan Fan*a and
Liang Chenb
aCollege of Optical, Mechanical and Electrical Engineering, Zhejiang A&F University, Hangzhou 311300, China. E-mail: fanyan503@zafu.edu.cn
bSchool of Physical Science and Technology, Ningbo University, Ningbo 315211, China. E-mail: jiangjie1@nbu.edu.cn
cCollege of Physics Science and Technology, Yangzhou University, Jiangsu 225009, China
dNoncommissioned Officer Academy of PAP, Hangzhou 311400, China
First published on 16th April 2026
Microfluidic technology enables precise manipulation of fluids at the microscale, where accurate flow velocity measurement is crucial for controlling mass transport, ion migration, and electrochemical responses. However, existing pressure sensors mainly respond to high-frequency dynamics or require external excitation, which limits stable detection under low-frequency or low-flow conditions. Here, we present a self-powered piezoelectric microfluidic flow sensor that detects flow rates as low as ∼3 µL min−1 over a broad measurable range of 3–203 µL min−1. Using a commercial piezoelectric film coupled with a PDMS membrane, the device converts diaphragm deformation into voltage signals without external power, achieving a high sensitivity 0.79 mV (µL min−1)−1, rapid response (0.1) ms, and excellent stability. The proposed sensor also offers low cost and scalable integration, showing strong potential for portable lab-on-a-chip applications.
Compared with other working fluids, metal-ion (electrolyte) solutions possess high ionic conductivity, which makes the electrical readout of microfluidic pressure/flow sensors more vulnerable to perturbations and long-term instability.9,18,19 Conductive electrolytes can promote parasitic electrochemical processes and electrode polarization, and when insulation is imperfect establish ionic leakage paths.9,20 This parasitic coupling typically manifests as pronounced baseline drift and elevated low-frequency (1/f) noise, severely degrading the signal-to-noise ratio.21,22 Meanwhile, prolonged operation leads to surface contamination and adsorption, which degrade signal stability and measurement repeatability.23,24 Consequently, even when sensors are mechanically compliant enough to respond to minute pressure variations, the weak pressure signatures associated with low-velocity electrolyte microflows are frequently obscured by drift and noise, rendering reliable sensing under long-duration, low-frequency, or low-velocity conditions particularly challenging.12,15 Therefore, microfluidic sensing for metal-ion solutions demands robust fluidic electrical isolation, suppressed thermal drift, and sustained operational stability. Nevertheless, despite extensive progress in optical, thermal, and electrical strategies, real-time and stable detection of low-velocity, low-frequency electrolyte microflows remains difficult.12,25,26
Among existing approaches, diaphragm-based sensors are attractive due to their simple architecture and high mechanical compliance, converting flow-induced pressure into electrical signals via piezoresistive, capacitive, or piezoelectric readouts.25,27–29 However, piezoresistive and capacitive schemes typically require external excitation and complex signal conditioning, which can be particularly undesirable in conductive electrolytes due to susceptibility to drift and interference.9,18 Meanwhile, triboelectric and many piezoelectric mechanisms respond predominantly to dynamic, high-frequency pressure variations, limiting their effectiveness for low-frequency or low-velocity microflows that are common in metal-ion microfluidic operation.30,31 A practical trade-off is thus often encountered between low-flow detectability and dynamic range.12,26
Here, we present a self-powered piezoelectric microfluidic flow sensor designed for stable monitoring of metal-ion solution microflows. The device integrates a commercial piezoelectric film with a thin PDMS isolation diaphragm that physically separates the working electrolyte from the sensing element while enabling efficient mechanical coupling. Flow-induced pressure deforms the diaphragm and generates an open-circuit voltage without external power or dynamic excitation, enabling reliable detection down to ∼3 µL min−1 over a broad range of 3–203 µL min−1. This electrically isolated, low-cost architecture facilitates scalable integration for portable lab-on-a-chip applications involving conductive metal-ion solutions.
A bottom Pt/PI electrode (5 × 5 mm2) and a top Pt/PI electrode (3 × 3 mm2) were prepared, each incorporating a lead section for electrical connection. The piezoelectric film was then sandwiched between the two Pt/PI electrodes to form the piezoelectric sensing element. The assembled element was integrated with the microfluidic chip by positioning it above the sensing cavity and mechanically coupling it through a 20 µm-thick polydimethylsiloxane (PDMS) isolation diaphragm, which physically separated the working fluid from the piezoelectric layer while allowing diaphragm deformation to transmit flow-induced hydraulic loading for self-generated voltage output. Prior to experiments, each assembled device was electrically inspected to ensure reliable contact and to exclude short- or open-circuit failures. As shown in Fig. 1b, the electrode-film stack forms a compact and well-aligned sensing structure. The asymmetric electrode layout (bottom: 5 × 5 mm2; top: 3 × 3 mm2) intentionally leaves a lateral alignment margin, which helps prevent electrode overlap or shifting and reduces the risk of short-circuiting under compression. After assembly, the electrode-film stack was encapsulated with a 0.6 mm-thick polyimide (PI) tape to minimize humidity effects and facilitate handling during experiments.
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1 weight ratio and cured in an oven at 85 °C. The bottom layer contained the microfluidic channels (width × height: 200 µm × 30 µm) patterned by soft lithography. The middle layer consisted of a commercial PDMS membrane (KYQ series, 20 µm thickness), which was bonded onto the channel layer by oxygen plasma treatment to serve as a fluid isolation barrier. For the top layer, the piezoelectric sensing element was aligned and bonded onto the PDMS membrane, and the assembly was finally sealed with a PDMS cover sheet featuring a cavity that matched the sensor footprint. This cavity provided sufficient clearance to enable free diaphragm deformation during operation while maintaining a leak-tight microfluidic interface.
To capture the intrinsic transient response, beyond the mechanical bandwidth of the Mark-10 test stand, a custom dynamic loading platform was developed, which incorporated a programmable digital timing controller module with MOSFET power output. The module was powered by a DC supply (5 V) and generated repeatable on/off drive pulses to actuate a compact loading actuator (electromagnet) connected to a pressure head matched to the sensor's active area. This actuator delivered a pressure pulse of approximately 100 kPa to the sensing area. The open-circuit voltage output was recorded by the Tektronix MSO44 oscilloscope at a sampling rate of 1 MHz.
As shown in Fig. 2, the measured flow rates exhibited excellent linear agreement with the set values over the full calibration range. The detailed calibration results are summarized in Table S1 (SI). The measured flow rates were 3.009 ± 0.021, 10.032 ± 0.031, 50.050 ± 0.274, 100.088 ± 0.534, and 200.124 ± 0.192 µL min−1 (mean ± SD, n = 5), corresponding to mean relative errors of 0.30%, 0.32%, 0.10%, 0.09%, and 0.06%, respectively. In addition, the relative standard deviation remained low over the entire tested range, indicating good repeatability of the flow-delivery system.
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| Fig. 2 Gravimetric calibration of the syringe pump. Measured flow rates at 3, 10, 50, 100, and 200 µL min−1 showing linear agreement with the corresponding set values. | ||
These results confirm that the syringe pump provides reliable and accurate flow control under the operating conditions used in this work. Unless otherwise specified, a 1 mM NaCl solution was used as the working fluid in the subsequent microflow sensing experiments.
The device exhibited pronounced pressure sensitivity across the entire testing range. In the 10–398 kPa region, the output voltage increased stepwise from approximately 34 mV to 184 mV, corresponding to a sensitivity of 0.62 mV kPa−1. At higher pressures (398–696 kPa), the response remained linear but with a reduced slope of 0.27 mV kPa−1 (Fig. 3b). This indicates that, under direct mechanical loading, the incremental voltage response of the sensing element decreases at higher pressure, suggesting that the device is approaching its upper measurable loading range rather than exhibiting simple saturation. Such behavior reflects the reduced incremental electromechanical response of the sensing element under high loading conditions. We found that the response time obtained from low-frequency loading is limited by the mechanical loading rate of the Mark-10 test stand (2.5 N s−1), which prevents accurate extraction of the intrinsic rise and recovery times of the piezoelectric element. To capture the actual transient behavior, the sensing element was therefore tested using a custom dynamic loading platform controlled by a microcontroller (details provided in Section 2.4). A pressure pulse of approximately 100 kPa was applied using a pressure head matched to the sensing area, and the voltage output was recorded at a 1 MHz sampling rate using the Tektronix MSO44 oscilloscope. As shown in Fig. 3c, the transient response exhibited a rise time of 0.1 ms and a recovery time of 1.8 ms, demonstrating a fast electromechanical response of the piezoelectric element under the present test conditions.
To further evaluate the device performance beyond the transient response characterization, the repeatability and durability were assessed under cyclic loading. The sensing element was repeatedly loaded at a constant normal force of 200 kPa for 1000 s (Fig. 3d). The voltage output remained stable throughout the test and returned to its baseline level after each unloading event, indicating minimal drift. In addition, after 5000 loading cycles, no significant degradation in the signal amplitude was observed, confirming the mechanical robustness and long-term reliability of the piezoelectric film-based sensing element.
Additional material information was provided for the commercial piezoelectric film used in this work. The film had a thickness of approximately 100 µm and was supplied in a pre-poled state by the manufacturer. Since it was a commercial product, detailed crystallographic orientation information was not fully available from the supplier. To provide supplementary structural information, SEM characterization was performed. As shown in Fig. S1 (SI), the plan-view SEM image indicates a relatively smooth and uniform surface morphology, while the cross-sectional SEM image confirms a film thickness of approximately 100 µm.
The commercial piezoelectric film exhibited excellent piezoelectric properties. To further investigate its piezoelectric nature, piezoelectricity measurements were conducted using Piezoelectric Force Microscopy (PFM) in Dual Amplitude Resonance Tracking (DART) mode with conductive silicon cantilevers (Olympus-AC240TM; tip radius: 28 nm; typical spring constant: 2 N m−1). Scanning was performed over an area of 5 µm × 5 µm. An AC excitation voltage ranging from 1.0 to 5.0 V was applied through the conductive tip, which induced measurable surface deformation of the piezoelectric film (Fig. 4a). The corresponding out-of-plane displacement (Δz) increased linearly with the applied voltage (Fig. 4b). The calculated piezoelectric coefficient d33 was 44.2 pm V−1, indicating strong piezoelectric coupling and confirming the excellent electromechanical performance of the sensor film.
To visualize diaphragm deformation more clearly under different flow conditions, the influence of flow rate on PDMS diaphragm deformation was examined at inlet flow rates of 3, 43, and 83 µL min−1. These conditions were carefully selected to provide observable deformation profiles while avoiding diaphragm rupture and maintaining partial cavity encapsulation for efficient pressure transfer. As shown in Fig. 5a(ii–iv), the PDMS membrane exhibited distinct deformation patterns at the selected flow rates. The pressure difference between the inlet region and the microchannel led to localized fluid accumulation near the inlet, causing elastic deformation of the PDMS film. With increasing flow rate, the induced pressure differential and consequently the strain experienced by both the diaphragm and the piezoelectric element increased accordingly. During flow measurements, the volumetric flow rate was directly controlled by the syringe pump, corresponding to the pump-programmed values, which were verified by gravimetric calibration over the investigated flow-rate range. As shown in Fig. 5b, the sensor produced a measurable voltage response (ΔV = 4.1 mV) at a low flow rate of 3 µL min−1. To further evaluate the detectability of the signal at the lowest tested flow rate, the signal-to-noise ratio (SNR) was calculated as SNR = ΔV/σn, where ΔV is the signal amplitude and σn is the standard deviation of the baseline noise at 0 µL min−1. The calculated SNR was 15.3, corresponding to 23.7 dB, confirming that the output signal at 3 µL min−1 can be clearly distinguished from the background noise. Therefore, the minimum detectable flow rate was determined to be approximately 3 µL min−1 under the present measurement conditions. This result demonstrates that the microfluidic flow sensor configuration enables reliable detection of low-velocity electrolyte microflows without external power.
Step changes in flow rate were generated by directly adjusting the syringe pump setpoint across a series of flow-rate levels. Each transition typically produced an initial transient voltage peak, which is attributed to the rapid pressure redistribution and diaphragm deformation during pump ramping. After the flow stabilized at the target setpoint, the voltage evolved into a steady plateau value. As shown in Fig. 5c, the output exhibited clear step-like changes and stable plateau levels over the investigated flow-rate range of 3–203 µL min−1, indicating repeatable and robust sensing performance under pump-controlled operation.
The linear relationship between voltage output and flow rate is shown in Fig. 5d. Multiple repeated measurements were performed, and the standard error was analyzed. The flow-rate sensitivity SQ of the device was defined as the change in voltage per unit change in flow rate:
| S = ΔV/ΔQ | (1) |
To further clarify the sensing mechanism, we replaced the previous semi-empirical elimination of two fitted sensitivities with a first-order physically grounded interpretation. For a steady pressure-driven Newtonian liquid in a rectangular microchannel operating in the low-Reynolds-number regime, the channel pressure drop follows a Poiseuille-type relation:32,33
| ΔPch = RhQ | (2) |
Because the sensing element is located above the inlet/cavity region rather than uniformly along the full channel length, the load acting on the 20 µm PDMS diaphragm is better represented by an effective local pressure:
| ΔPeff = ηΔPch | (3) |
The PDMS isolation layer can then be approximated as a clamped elastic diaphragm. In the small-deflection regime, classical plate mechanics indicate that the characteristic strain transferred to the bonded piezoelectric layer increases approximately linearly with the effective local pressure:34
| εm = KmΔPeff | (4) |
Under small deformation, the open-circuit response of the bonded piezoelectric layer can then be written at the device level as
| Voc ≈ Gpεm = KeffQ | (5) |
We further clarify the assumptions and validity range of this first-order model. It is intended for steady, incompressible, low-Reynolds-number laminar flow of dilute Newtonian aqueous electrolytes, fixed device geometry, and small-to-moderate diaphragm deformation with quasi-static membrane response. Within this regime, a linear first-order relation between output voltage and flow rate is expected. In contrast, in highly compliant PDMS microchannels or at larger wall deformation, fluid–structure interaction can produce nonlinear flow–pressure relations and geometry-dependent corrections.36,37 Therefore, the above derivation should be regarded as a physically grounded first-order interpretation for the present device architecture and the experimentally tested range of 3-203 µL min−1, rather than as a universal predictive law beyond the measured conditions.
To further assess the performance of the proposed device, a detailed comparison with representative recently reported microfluidic flow sensors is provided in Table S2, including detection range, sensitivity, response time, external power requirement, and applicable fluid type. As summarized in Table S2, the main advantages of the present sensor are its self-powered operation, simple device architecture, low-flow detectability (∼3 µL min−1), and applicability to conductive electrolyte solutions without requiring direct electrical contact with the fluid. These features are attractive for portable and easily integrated lab-on-a-chip platforms.
At the same time, the present device also has several limitations. Compared with some optical or thermal methods, it does not achieve the lowest detection limit reported in the literature, and the current work focuses on flow monitoring rather than selective identification of different ionic species. In addition, the sensing mechanism is described here using a semi-empirical model within the tested operating range, and a more general predictive model will require further study. Therefore, the main contribution of this work lies in providing a self-powered, structurally simple, and robust solution for low-flow monitoring in conductive microfluidic environments.
As shown in Fig. 6b, after excluding the startup and shutdown transients, the steady-state output during 30 min continuous operation in 1 mM NaCl at 50 µL min−1 was 77.62 ± 0.32 mV, with a drift rate of only −0.0069 mV min−1 and a difference of only 0.20% between the first and last 5 min steady-state windows (see eqn (3) in the SI for calculation details), confirming good long-term operational stability.
In addition, the steady-state output voltages were 74.26, 74.92, 71.82, 72.40, and 71.30 mV at 20, 25, 30, 35, and 45 °C, respectively, corresponding to a total variation of 4.0% over 20–45 °C and an average temperature coefficient of −0.136 mV °C−1 (see eqn (4) in the SI for calculation details). As shown in Fig. 6c, the sensor also exhibited stable steady-state output under different electrolyte environments, indicating good tolerance to variations in ionic conditions. These quantitative results confirm that the proposed sensor maintains stable sensing performance under prolonged flow, moderate temperature variation, and different electrolyte environments.
In addition, employing a commercial piezoelectric film as the core sensing material offers practical advantages for translation, including reduced development cost, good consistency, and simplified assembly. These advantages enhance the portability and transferability of the sensing concept, facilitating adaptation to different chip geometries and application requirements without relying on bespoke piezoelectric material synthesis or complex microfabrication. The proposed low-power, integrable, and non-invasive device offers a scalable and versatile solution for precise microflow monitoring in lab-on-a-chip systems, biochemical microreactors, and point-of-care diagnostics, thereby laying a robust foundation for next-generation microfluidic sensing technologies.
Supplementary information is available. See DOI: https://doi.org/10.1039/d6ra02026g.
Footnote |
| † These authors contributed equally to this work. |
| This journal is © The Royal Society of Chemistry 2026 |