Carbon Nanotube Films with Fewer Impurities and Higher Conductivity from Aqueously Mono-Dispersed Solution via Two-Step Filtration for Electric Heating

With the intensification of global climate problems, electric heating has recently attracted much attention as a clean and low-carbon heating method. Carbon nanotubes (CNTs) are an ideal medium for electric heating applications due to their excellent mechanical, electrical, and thermal properties. The preparation of electrothermal films based on an aqueous CNT dispersion as a raw material is environmentally friendly. However, in the traditional one-step filtration method, the residual excess dispersant and the small aspect ratio of the CNTs in the preparation process limit the performance of electrothermal CNT films. In this paper, we report a two-step filtration method that removes the free dispersant and small CNTs in the first filtration step and obtains denser CNT films by controlling the pores of the filter membrane in the second filtration step. The results suggest that, compared to the CNT1 film obtained from one-step filtration, the CNT1-0.22 film, obtained from two-step filtration using 1 and 0.22 μm membranes, has a smoother and flatter surface, and the surface resistance is 80.0 Ω sq−1, which is 29.4% lower. The convective radiation conversion efficiency of the CNT1-0.22 film is 3.36 mW/°C, which is 36.1% lower. We anticipate that such CNT films could be widely applied in building thermal insulation and underfloor heating.


Introduction
In recent years, electric heating has gradually permeated daily life, in line with the continuous progress in science and technology and improvements in environmental awareness [1,2].Compared with metal-based electric heating materials, carbon-based materials have received widespread attention due to their advantages of high-temperature resistance and stability and high electric conversion efficiency [3,4].Such electric heating materials include graphite [5], carbon black [6], graphene [7], and carbon nanotubes [8].Graphite and carbon black have high resistance, while CNTs are considered ideal electrothermal materials for their light weight, good toughness, and excellent electrothermal properties [9][10][11][12][13].However, due to their high surface energy, CNTs are prone to agglomeration, and it is difficult to directly exploit their nano advantages in applications.Therefore, when industrially preparing CNT dispersions, adding a certain proportion of dispersant is necessary to improve CNT dispersibility in solvents [14][15][16].Preparing highly conductive CNT films using low-carbon and environmentally friendly aqueous CNT dispersions is an important development direction in this field [17][18][19].
The prerequisite for the preparation of such films is to obtain highly dispersed CNTs for highly conductive network construction while minimizing the residues of the dispersant used.In practice, the dispersant is often disproportionately used to guarantee a relatively stable dispersion.As a result, firstly, a large amount of free dispersant inevitably occurs in the CNT dispersion, and it influences the final electrical conductivity of the films [20]; secondly, the external treatments used in the dispersion process, such as high-speed stirring and grinding, significantly reduce the intrinsic size of the CNTs, lowering the aspect ratio and increasing the number of junctions.Thus, the networking of the CNTs hinders the transfer of electrons in the films [21][22][23].Notably, these small, highly dispersed CNTs can form poorly conductive electric paths when encapsulated in the films produced, and they need to be sieved out.These impurity problems strongly limit the utilization of electrothermal films based on CNT dispersions.
Vacuum filtration is a method commonly used to prepare electrothermal CNT films [24,25].It can remove the free dispersant molecules/ions and the CNTs with small aspect ratios from the system through filtration by confining the membrane's pore sizes [26,27].However, the traditional one-step filtration cannot solve the impurity problems (free dispersant and small CNTs) simultaneously and spontaneously.Direct one-step filtration using a filter membrane with a large pore size removes both the free dispersant and small CNTs, but this type of CNT membrane has a low density and high surface resistance.Direct one-step filtration using a filter membrane with a small pore size does not remove smaller CNTs either, and this CNT membrane is brittle.Herein, we present a two-step filtration method for the preparation of CNT films.A membrane with a larger pore size (filter membrane with pore size α 1 < the length of CNTs) is first used to remove the free dispersant and the CNTs with a relatively small aspect ratio, and then a filter membrane with a smaller pore size (filter membrane with pore size α 2 << α 1 ) is used to obtain denser CNT films from the long CNTs after the looser films are redispersed.The resulting CNT film has good electrothermal properties.

Materials
CNT dispersions were purchased from Beijing Carpo Co., Ltd.(Beijing, China).Nylon filter membranes were purchased from the Haining Yibo filter material factory (the tolerance temperature was 120 • C).Polyethylene terephthalate (PET) substrates were purchased from Flying Optoelectronics (the critical point temperature was 150 • C).

Preparation of CNT Films
The CNT films were prepared via the vacuum filtration method.The vacuum pump's pressure value was −0.1 MPa, and a polytetrafluoroethylene agitator blade was used for stirring the CNT dispersions at 300 rpm.The two-step fabrication process of the CNT films is illustrated in Figure 1.Firstly, 100 mL of the CNT dispersions was filtrated through a 1 µm nylon filter membrane.Subsequently, the CNTs were re-dispersed in 100 mL deionized water through ultrasound for 20 s, and the CNT solution was again filtrated through a 0.22 µm nylon filter membrane.Finally, the prepared CNT 1-0.22 films were dried at 60 • C for 4 h.In the control group, 100 mL of the CNT dispersion was directly filtrated through a 1 µm nylon filter membrane, and then the prepared CNT 1 films were dried at 60 • C for 4 h.
The two ends of the 3 mm wide and 20 mm long CNT film were fixed to a polyethylene terephthalate (PET) substrate with conductive adhesive, and then a copper wire was fixed to both ends of the CNT film with conductive silver paste.Next, the conductive silver paste was cured at 60 • C for 1 h in the oven for electrothermal performance testing.

Characterization
The size and the dispersion state of the CNT dispersions and the surface and crosssection images of the CNT films were characterized using a cold-type field emission scanning electron microscope (SU-9000, Hitachi, Tokyo, Japan).The CNT dispersion's morphology was characterized using an atomic force microscope (MultiMode 8, Bruker, Saarbrücken, Germany).The size of the CNT dispersion was characterized using a zeta potential particle size analyzer (Zetasizer Nano ZS90, Malvern, Malvern City, UK).The 3D structure and roughness of the surfaces of the CNT films were characterized using a confocal laser scanning microscope (Olympus, Tokyo, Japan).The structural features of the pristine CNT dispersions and CNT films were identified using a high-resolution Raman spectrometer (Renishaw, London, UK).The tensile strengths of the CNT film with a gauge length of 20 mm were measured on a Heng Yuan Technology Universal Material Mechanics Testing Machine at a crosshead speed of 1 mm min −1 .The contact angles of the CNT films were measured using a contact angle meter (Dataphysics-TP50, Filderstadt, Germany).The surface resistance of the CNT films was measured using a four-probe tester (RTS-8, Guangzhou, China).The ultraviolet spectrogram of the filtrate was obtained using an ultraviolet spectrophotometer (TU-1950, Beijing, China).The electrical properties of CNTs films were investigated by obtaining voltage-time, current-time, and current-voltage curves with a sourcemeter (2400, Keithley Instruments Inc., Cleveland, OH, USA).The temperature time curve of CNT films was recorded using an infrared camera (Fotric 326C, Shanghai, China).

Mechanism of Two-Step Filtration
The SEM, TEM, and AFM characteristics of the CNT dispersions are illustrated in Figure 2a-c.The dispersion of the CNTs was good, and the CNTs had a length of 0-2 µm and a diameter of 10 nm.The CNTs were multiwalled, with amorphous carbon present around the walls, presumably due to the dispersant loaded on the CNTs.Filtration with a filter membrane with a large pore size of 1 µm first removed the free excess dispersant and small CNTs (Figure 2d-f).The particle size distribution of the CNT dispersions was shifted to larger sizes (Figure 2d), and the average particle size of the CNT dispersions increased from 163.4 nm to 204.3 nm (Figure 2e) [28].In the second step of filtration, using a filter membrane with a small pore size of 0.22 µm, the average particle size of the CNT dispersion was almost unchanged, changing from 204.3 nm to 204.9 nm.In Figure 2f, the UV-Vis spectra of the filtrates are shown.It can be seen that the CNTs absorbed throughout the whole UV-vis wavelength band, and the absorption intensity was stabilized at one value, without characteristic absorption peaks (the CNT solution was obtained via the ultrasonication of a CNT powder dispersed in water for 30 min).The deionized water passing through the nylon filter membrane had a characteristic absorption peak at 203 nm, presumed to be due to water passing through the nylon filter membrane, carrying the macromolecules in the membrane.Three peaks appeared in the one-step-filtered filtrate:

Characterization
The size and the dispersion state of the CNT dispersions and the surface and crosssection images of the CNT films were characterized using a cold-type field emission scanning electron microscope (SU-9000, Hitachi, Tokyo, Japan).The CNT dispersion's morphology was characterized using an atomic force microscope (MultiMode 8, Bruker, Saarbrücken, Germany).The size of the CNT dispersion was characterized using a zeta potential particle size analyzer (Zetasizer Nano ZS90, Malvern, Malvern City, UK).The 3D structure and roughness of the surfaces of the CNT films were characterized using a confocal laser scanning microscope (Olympus, Tokyo, Japan).The structural features of the pristine CNT dispersions and CNT films were identified using a high-resolution Raman spectrometer (Renishaw, London, UK).The tensile strengths of the CNT film with a gauge length of 20 mm were measured on a Heng Yuan Technology Universal Material Mechanics Testing Machine at a crosshead speed of 1 mm min −1 .The contact angles of the CNT films were measured using a contact angle meter (Dataphysics-TP50, Filderstadt, Germany).The surface resistance of the CNT films was measured using a four-probe tester (RTS-8, Guangzhou, China).The ultraviolet spectrogram of the filtrate was obtained using an ultraviolet spectrophotometer (TU-1950, Beijing, China).The electrical properties of CNTs films were investigated by obtaining voltage-time, current-time, and current-voltage curves with a sourcemeter (2400, Keithley Instruments Inc., Cleveland, OH, USA).The temperature time curve of CNT films was recorded using an infrared camera (Fotric 326C, Shanghai, China).

Mechanism of Two-Step Filtration
The SEM, TEM, and AFM characteristics of the CNT dispersions are illustrated in Figure 2a-c.The dispersion of the CNTs was good, and the CNTs had a length of 0-2 µm and a diameter of 10 nm.The CNTs were multiwalled, with amorphous carbon present around the walls, presumably due to the dispersant loaded on the CNTs.Filtration with a filter membrane with a large pore size of 1 µm first removed the free excess dispersant and small CNTs (Figure 2d-f).The particle size distribution of the CNT dispersions was shifted to larger sizes (Figure 2d), and the average particle size of the CNT dispersions increased from 163.4 nm to 204.3 nm (Figure 2e) [28].In the second step of filtration, using a filter membrane with a small pore size of 0.22 µm, the average particle size of the CNT dispersion was almost unchanged, changing from 204.3 nm to 204.9 nm.In Figure 2f, the UV-vis spectra of the filtrates are shown.It can be seen that the CNTs absorbed throughout the whole UV-vis wavelength band, and the absorption intensity was stabilized at one value, without characteristic absorption peaks (the CNT solution was obtained via the ultrasonication of a CNT powder dispersed in water for 30 min).The deionized water passing through the nylon filter membrane had a characteristic absorption peak at 203 nm, presumed to be due to water passing through the nylon filter membrane, carrying the macromolecules in the membrane.Three peaks appeared in the one-step-filtered filtrate: the characteristic absorption peaks of the dispersant at 226 nm and 267 nm and the characteristic absorption peak of the deionized water filtered through the nylon filter membrane (203 nm).
The second filtration step was carried out using a filter membrane with a small pore size of 0.22 µm, and the UV-vis spectra show peaks only at 203 nm, without peaks related to the dispersant.The peak intensity was close to 0 near the 800 nm wavelength, indicating that there were no CNTs or dispersant in the filtrate.To determine whether the small-pore-size filter membrane adsorbed the dispersant, in the second filtration step, a membrane with a large pore size of 1 µm was used, and the absorption intensity near 800 nm was relatively small, indicating that the small CNTs were removed in the first filtration step, and the filtrate had fewer CNTs.The characteristic absorption peak appeared at 203 nm, and the shoulder peak was close to 267 nm.This was attributed to the small proportion of CNTs in the filtrate and the dispersant loaded on the carbon nanotubes.Therefore, the first filtration step using a 1 µm membrane at this concentration completely removed the free dispersant and the small CNTs.
Nanomaterials 2024, 14, 911 4 of 13 the characteristic absorption peaks of the dispersant at 226 nm and 267 nm and the characteristic absorption peak of the deionized water filtered through the nylon filter membrane (203 nm).The second filtration step was carried out using a filter membrane with a small pore size of 0.22 µm, and the UV-vis spectra show peaks only at 203 nm, without peaks related to the dispersant.The peak intensity was close to 0 near the 800 nm wavelength, indicating that there were no CNTs or dispersant in the filtrate.To determine whether the small-pore-size filter membrane adsorbed the dispersant, in the second filtration step, a membrane with a large pore size of 1 µm was used, and the absorption intensity near 800 nm was relatively small, indicating that the small CNTs were removed in the first filtration step, and the filtrate had fewer CNTs.The characteristic absorption peak appeared at 203 nm, and the shoulder peak was close to 267 nm.This was attributed to the small proportion of CNTs in the filtrate and the dispersant loaded on the carbon nanotubes.Therefore, the first filtration step using a 1 µm membrane at this concentration completely removed the free dispersant and the small CNTs.

Characterization of CNT Films
Figure 3a is a physical diagram of the CNT film.In the one-step filtration using a filter membrane with a large pore size, a fraction of the CNTs were adsorbed into the nylon filter membrane.In Figure 3b, the black CNTs can be seen from the back of the CNT1 film.This in-plane and out-of-plane stacking created a heavily undulating surface (Figure 3d,g,h), the contact between CNTs was not close.In the second filtration step using a small-pore-size filter membrane, the CNTs could completely cover the pore size and were almost completely retained (Figure 3c), and the surface was relatively flat (Figure 3e,i,j).The SEM images of the CNT1 film (Figure 3d) and CNT1-0.22 film (Figure 3e) were analyzed using ImageJ (Figure 3f) [29,30].The average pore diameters of the CNT1 film and CNT1-0.22 film were 41.0 nm and 32.4 nm, respectively; the percentages of the pore area were 45.6% and 41.1%, respectively, which corresponded, to a certain extent, to the fact that the CNT1-0.22film was denser.Therefore, denser CNT films (Figure 3d-f) constructed by long CNTs (Figure 2d,e) which were obtained using this two-step filtration method.

Characterization of CNT Films
Figure 3a is a physical diagram of the CNT film.In the one-step filtration using a filter membrane with a large pore size, a fraction of the CNTs were adsorbed into the nylon filter membrane.In Figure 3b, the black CNTs can be seen from the back of the CNT 1 film.This in-plane and out-of-plane stacking created a heavily undulating surface (Figure 3d,g,h), the contact between CNTs was not close.In the second filtration step using a small-poresize filter membrane, the CNTs could completely cover the pore size and were almost completely retained (Figure 3c), and the surface was relatively flat (Figure 3e,i,j).The SEM images of the CNT 1 film (Figure 3d) and CNT 1-0.22 film (Figure 3e) were analyzed using ImageJ (Figure 3f) [29,30].The average pore diameters of the CNT 1 film and CNT 1-0.22 film were 41.0 nm and 32.4 nm, respectively; the percentages of the pore area were 45.6% and 41.1%, respectively, which corresponded, to a certain extent, to the fact that the CNT 1-0.22 film was denser.Therefore, denser CNT films (Figure 3d-f) constructed by long CNTs (Figure 2d,e) which were obtained using this two-step filtration method.As shown in Figure 4, 2D planar and 3D stereograms of the CNT1 and CNT1-0.22 films were obtained using laser confocal microscopy, again reflecting that the CNT1-0.22film obtained from the two-step filtration method possessed a flatter surface.The surface roughness of the CNT films was measured using a confocal laser scanning microscope [31,32].In the roughness measurement, Sa represents the arithmetic average height of the measured area, which is essential evidence of the roughness of the sample.Sz denotes the maximum height in the measured area.The parameters measured for the CNT1 film were Sa = 0.898 µm and Sz = 19.444µm, and the parameters measured for the CNT1-0.22film were Sa = 0.572 µm and Sz = 15.162µm.The CNT1-0.22 film had lower surface roughness and a smooth, flat surface.The ID/IG values of the CNT dispersions, CNT1 film, and CNT1-0.22 film were 1.22, 1.20, and 1.17.The ID/IG value of the CNT1-0.22film was the smallest, indicating the minor defects and regular stacking of the CNT1-0.22film (Figure S1).A smooth surface is less prone to the accumulation of dust and dirt.At the same time, it is conducive to airflow and can improve the heat dissipation efficiency.The stress-strain curve of the CNT1-0.22film at a tensile strength of 16 MPa is shown in Figure S2.As shown in Figure 4, 2D planar and 3D stereograms of the CNT 1 and CNT 1-0.22 films were obtained using laser confocal microscopy, again reflecting that the CNT 1-0.22 film obtained from the two-step filtration method possessed a flatter surface.The surface roughness of the CNT films was measured using a confocal laser scanning microscope [31,32].In the roughness measurement, Sa represents the arithmetic average height of the measured area, which is essential evidence of the roughness of the sample.Sz denotes the maximum height in the measured area.The parameters measured for the CNT 1 film were Sa = 0.898 µm and Sz = 19.444µm, and the parameters measured for the CNT 1-0.22 film were Sa = 0.572 µm and Sz = 15.162µm.The CNT 1-0.22 film had lower surface roughness and a smooth, flat surface.The I D /I G values of the CNT dispersions, CNT 1 film, and CNT 1-0.22 film were 1.22, 1.20, and 1.17.The I D /I G value of the CNT 1-0.22 film was the smallest, indicating the minor defects and regular stacking of the CNT 1-0.22 film (Figure S1).A smooth surface is less prone to the accumulation of dust and dirt.At the same time, it is conducive to airflow and can improve the heat dissipation efficiency.The stress-strain curve of the CNT 1-0.22 film at a tensile strength of 16 MPa is shown in Figure S2.

Hydrophilic Properties of CNT Films
The raw material used in this study was an aqueous CNT dispersion solution.As shown in Figure 5a,e, after the droplets were released onto the surfaces of the CNT films, the contact angles of the CNT1 film and CNT1-0.22 film were 88.6° and 89.3°, respectively, and the surfaces showed a certain degree of hydrophilicity.The large porosity of the CNT1

Hydrophilic Properties of CNT Films
The raw material used in this study was an aqueous CNT dispersion solution.As shown in Figure 5a,e, after the droplets were released onto the surfaces of the CNT films, the contact angles of the CNT 1 film and CNT 1-0.22 film were 88.6 • and 89.3 • , respectively, and the surfaces showed a certain degree of hydrophilicity.The large porosity of the CNT 1 film allowed the liquid to easily enter the interior of the CNT 1 film.At the same time, the rough structure of the CNT 1 film increased the resistance of water droplet diffusion and led to a relatively slow dispersion speed (Figure 5i).As shown in Figure 5a-d, after 40 s, 80 s, and 150 s, the contact angles of the water droplets were 58.2 • , 43 • , and 0 • , respectively.The surface of the CNT 1-0.22 film was relatively smooth, and the water droplets diffused rapidly on its surface (Figure 5e-h,j).The CNT 1-0.22 film was not easily wetted when the CNT film was placed in the air for a long time, and if water adhered to the surface of the CNT film, it could be diffused and evaporate quickly.

Hydrophilic Properties of CNT Films
The raw material used in this study was an aqueous CNT dispersion solution.As shown in Figure 5a,e, after the droplets were released onto the surfaces of the CNT films, the contact angles of the CNT1 film and CNT1-0.22 film were 88.6° and 89.3°, respectively, and the surfaces showed a certain degree of hydrophilicity.The large porosity of the CNT1 film allowed the liquid to easily enter the interior of the CNT1 film.At the same time, the rough structure of the CNT1 film increased the resistance of water droplet diffusion and led to a relatively slow dispersion speed (Figure 5i).As shown in Figure 5a-d, after 40 s, 80 s, and 150 s, the contact angles of the water droplets were 58.2°, 43°, and 0°, respectively.The surface of the CNT1-0.22film was relatively smooth, and the water droplets diffused rapidly on its surface (Figure 5e-h,j).The CNT1-0.22 film was not easily wetted when the CNT film was placed in the air for a long time, and if water adhered to the surface of the CNT film, it could be diffused and evaporate quickly.

Electrical Properties of CNT Films
As shown in Figure 6, the surface resistance of CNT1-0.22 was 80.0 Ω sq −1 , which is lower than the value of 113.3 Ω sq −1 for the CNT1 film obtained using one-step filtration.

Electrical Properties of CNT Films
As shown in Figure 6, the surface resistance of CNT 1-0.22 was 80.0 Ω sq −1 , which is lower than the value of 113.3 Ω sq −1 for the CNT 1 film obtained using one-step filtration.It is also lower than that of the CNT 1-1 film obtained through two-step filtration using a 1 µm filter membrane, which had a surface resistance of 123.2 Ω sq −1 .During filtration, the concentration and volume of CNTs need to be controlled to achieve optimal results.As shown in Figure S3a, filtration was performed using 100 mL (1 V), 200 mL (2 V), and 300 mL (3 V) of the CNT dispersion.With the increase in the filtration volume, the decrease in the surface resistance of the CNT 1-0.22 film after two-step filtration became minor, amounting to 29.3%, 6.5%, and 5.6%, respectively.During the filtration process, the pore size of the new network formed between the CNTs became smaller, and it was impossible to filter out more CNTs.The percentage of retained CNTs increased, and the surface resistance of the CNT 1-0.22 film proportionally decreased; at the same time, the electrical conductivity increased.As shown in Figure S3b, the CNT dispersion was filtered using different pore sizes, and the CNT film obtained via small-pore-size filtration had better electrical conductivity.However, because small-pore-size filtration retained more small CNTs, the CNT film formed was more brittle if the number of CNTs was higher.As shown in Figure S3c, when filtered with 300 mL of the CNT dispersion, the CNT 0.65-0.22film underwent curling and surface embrittlement.Meanwhile, if only a small-pore-size filter membrane is used for one-step filtration, the dispersant is likely to be adsorbed in the basal nylon filter membrane, and the CNT film will exhibit an unstable state.
film formed was more brittle if the number of CNTs was higher.As shown in Figure S3c, when filtered with 300 mL of the CNT dispersion, the CNT0.65-0.22 film underwent curling and surface embrittlement.Meanwhile, if only a small-pore-size filter membrane is used for one-step filtration, the dispersant is likely to be adsorbed in the basal nylon filter membrane, and the CNT film will exhibit an unstable state.

Thermal Properties at Constant Voltage
Figure S4 shows a schematic diagram of the assembled CNT heating film and an infrared image of the heat generation.The time-dependent temperature curves of the CNT film in Figure 7 can be divided into three parts: a temperature ramp, a steady-state temperature, and a temperature decay.For the CNT film, the temperature increased quickly when a constant voltage of 10 V was applied at 10 s; it reached a maximum value within ~50 s and decreased quickly to room temperature when the voltage was removed at 360 s.
In the first and third parts, the temperature growth with time can be expressed as in Equation ( 1), and the temperature reduction with time can be expressed as in Equation ( 2) [33][34][35].
( )   7 can be divided into three parts: a temperature ramp, a steady-state temperature, and a temperature decay.For the CNT film, the temperature increased quickly when a constant voltage of 10 V was applied at 10 s; it reached a maximum value within ~50 s and decreased quickly to room temperature when the voltage was removed at 360 s.

Thermal Properties with Increasing Voltage
As shown in Figure S6a, the voltage was increased by 2.5 V for 350 s at each operating voltage.Similar to the heating performance at a constant voltage, the voltage was between 0 and 17.5 V, and the CNT1-0.22film was relatively stable (Figures S6b and 8a).According to the equation Q =  t =  , the temperature and voltage are quadratically re- In the first and third parts, the temperature growth with time can be expressed as in Equation ( 1), and the temperature reduction with time can be expressed as in Equation ( 2) [33][34][35].
where T i is the initial sample temperature, T m is the maximum sample temperature, T t is an arbitrary temperature at time t, τ g is the characteristic growth time constant, and τ d the characteristic reduction time constant.For all CNT films exhibiting electric heating behavior, the τ g values were calculated by fitting the data for the first ramping part, and the τ d values were calculated by fitting the data for the third ramping part of the timetemperature curves in Figure 7a.The results are listed in Table 1.The average τ g and τ d values at 5~10 s for all CNT films indicate that the films exhibited rapid temperature responsiveness to the applied voltages, reaching stable maximum temperatures within a few seconds.In the maximum temperature zone, according to the energy conservation law, the heat gain by electric power is considered to be emitted to the surroundings of the composite films through radiation and convection.Therefore, the heat transferred through radiation and convection, h γ+C , can be evaluated with the following equation: where I C and V 0 are the steady-state current value and the initial applied voltage, respectively.As a result, the h γ+C values were calculated and are listed in Table 1.The average h γ+C values of the CNT films were low.The h γ+C value of 3.36 mW/ • C for the CNT 1-0.22 films indicates their excellent electric heating efficiency, requiring relatively low electric power to maintain the maximum temperatures.As shown in Figure S5, a constant voltage of 10 V was applied, and the change in the current of the CNT film was recorded.It can be seen that the CNT film's heating was relatively stable at the operating voltage of 10 V.The CNT 1-0.22 film had the lowest resistance and the highest current among them.Figure 7b shows the time-dependent temperature changes at various applied voltages of 3-20 V for the CNT 1-0.22 film.The steady-state maximum temperatures (T max ) were found to increase when increasing the applied voltage.Figure 7c,d show the surface morphology of the CNT 1-0.22 film at a constant voltage of 10 V and 20 V.At a constant voltage of 10 V, the CNT network on the film surface was relatively stable (Figure 7c); when 20 V was applied, the temperature generated by the CNT film exceeded the tolerance temperature of the nylon filtration filter membrane, and, due to the intensification of molecular thermal movement, the nylon substrate crumpled; at the same time, the network of the CNTs in the upper layer was destroyed (Figure 7d).The contact resistance became larger, so the temperature decreased during the temperature equilibrium stage (Figure 7b).

Thermal Properties with Increasing Voltage
As shown in Figure S6a, the voltage was increased by 2.5 V for 350 s at each operating voltage.Similar to the heating performance at a constant voltage, the voltage was between 0 and 17.5 V, and the CNT 1-0.22 film was relatively stable (Figures S6b and 8a).According to the equation Q = U It = U 2 R t = I 2 Rt, the temperature and voltage are quadratically related (Figure 8b).When the voltage was increased to 20 V, the temperature of the CNT 1-0.22 film exceeded 120 • C, thus exceeding the tolerance temperature of the nylon filter membrane.The nylon filter membrane began to crumple, the contact resistance R became larger, and the rate of the temperature increase with the voltage became smaller (Figure 8b,c).When the temperature exceeded 200 • C, the CNT 1-0.22 film broke and no longer generated heat.Both the nylon substrate and PET were charred and the surface CNT network became sparse (Figure 8d).Since the CNT 1 and CNT 1-1 films' surface resistance was relatively large, the current was relatively small at the same operating voltage, and the heating temperature was relatively low; that led to a higher voltage under the films' fracture.

Stable Performance
Figure 9a shows the temperature variation in the CNT1-0.22film under a 10 V cyclic voltage.The experimental results demonstrate that the CNT1-0.22film has good electrothermal repeatability and stability.The CNT1-0.22 film was shaped into a 3 × 3 square and then folded into a heart shape, as shown in the photograph in Figure 9b.It can be seen from the time-temperature curve that, at an operating voltage of 10 V, the CNT1-0.22film functioned well, with good flexibility, and the CNT network on the surface was not damaged.

Stable Performance
Figure 9a shows the temperature variation in the CNT 1-0.22 film under a 10 V cyclic voltage.The experimental results demonstrate that the CNT 1-0.22 film has good electrothermal repeatability and stability.The CNT 1-0.22 film was shaped into a 3 × 3 square and then folded into a heart shape, as shown in the photograph in Figure 9b.It can be seen from the time-temperature curve that, at an operating voltage of 10 V, the CNT 1-0.22 film functioned well, with good flexibility, and the CNT network on the surface was not damaged.
Figure 9a shows the temperature variation in the CNT1-0.22film under a 10 V cyclic voltage.The experimental results demonstrate that the CNT1-0.22film has good electrothermal repeatability and stability.The CNT1-0.22 film was shaped into a 3 × 3 square and then folded into a heart shape, as shown in the photograph in Figure 9b.It can be seen from the time-temperature curve that, at an operating voltage of 10 V, the CNT1-0.22film functioned well, with good flexibility, and the CNT network on the surface was not damaged.The CNT films studied in this work exhibited good electrothermal properties.As shown in Table 2, the electrical and thermal properties of the CNT films were superior to those of many other CNT films fabricated using different methods reported in the The CNT films studied in this work exhibited good electrothermal properties.As shown in Table 2, the electrical and thermal properties of the CNT films were superior to those of many other CNT films fabricated using different methods reported in the literature.This work provides a simple approach to the fabrication of highly electrothermal CNT films.The fabrication method can be easily scaled up to allow the production and processing of these materials in large batches.

Conclusions
We propose a two-step filtration method to directly treat commercial CNT dispersions to obtain CNT films with fewer impurities and higher conductivity from an aqueously mono-dispersed solution, for use as high-performance electrothermal CNT films.The method is simple to operate, environmentally friendly, and low-cost.The resistance of the CNT 1-0.22 film obtained via this two-step method is 80.0 Ω sq −1 , which is 29.4% lower than that obtained via the one-step filtration method.Under a 10 V operating voltage, the

Figure 1 .
Figure 1.Schematic diagram of the two-step fabrication process of CNT films.

Figure 1 .
Figure 1.Schematic diagram of the two-step fabrication process of CNT films.

Figure 3 .
Figure 3. (a) Physical diagram of CNT film; back photographs of CNT1 film (b) and CNT1-0.22 film (c); surface images of CNT1 film (d) and CNT1-0.22 film (e); (f) average film pore diameter and percentage of pore area of CNT film obtained via ImageJ2 software; cross-section images of CNT1 film (g,h) and CNT1-0.22 film (i,j).

Figure 3 .
Figure 3. (a) Physical diagram of CNT film; back photographs of CNT 1 film (b) and CNT 1-0.22 film (c); surface images of CNT 1 film (d) and CNT 1-0.22 film (e); (f) average film pore diameter and percentage of pore area of CNT film obtained via ImageJ2 software; cross-section images of CNT 1 film (g,h) and CNT 1-0.22 film (i,j).

3. 5 .
FigureS4shows a schematic diagram of the assembled CNT heating film and an infrared image of the heat generation.The time-dependent temperature curves of the CNT film in Figure7can be divided into three parts: a temperature ramp, a steady-state temperature, and a temperature decay.For the CNT film, the temperature increased quickly when a constant voltage of 10 V was applied at 10 s; it reached a maximum value within ~50 s and decreased quickly to room temperature when the voltage was removed at 360 s.

Figure 7 .
Figure 7. (a) Time-dependent temperature changes at applied voltages of 10 V for CNT 1 film, CNT 1-1 film, and CNT 1-0.22 film; (b) time-dependent temperature changes at various applied voltages of 3-20 V for CNT 1-0.22 film.Photographs and SEM images of CNT 1-0.22 film at a constant voltage of 10 V (c) and 20 V (d).

Nanomaterials 2024, 14 , 911 10 of 13 Figure 8 .
Figure 8.(a) Heating performance of CNT films under increasing voltage; (b) relationship between temperature and voltage; (c) SEM images of CNT1-0.22 film at a voltage of 20 V; (d) SEM images of CNT1-0.22 film at a voltage of 35 V.

Figure 8 .
Figure 8.(a) Heating performance of CNT films under increasing voltage; (b) relationship between temperature and voltage; (c) SEM images of CNT 1-0.22 film at a voltage of 20 V; (d) SEM images of CNT 1-0.22 film at a voltage of 35 V.

Figure 9 .
Figure 9. (a) Change in temperature of CNT1-0.22 film under a cyclic voltage of 10 V; (b) change in temperature-time curve for heart-shaped CNT1-0.22 film under an applied voltage of 10 V in electric heating experiments.

Figure 9 .
Figure 9. (a) Change in temperature of CNT 1-0.22 film under a cyclic voltage of 10 V; (b) change in temperature-time curve for heart-shaped CNT 1-0.22 film under an applied voltage of 10 V in electric heating experiments.

Table 1 .
Characteristic parameters (τ g , τ d , and h r+c ) for the electrical heating behavior of CNT 1 film, CNT 1-1 film, and CNT 1-0.22 film at an applied voltage of 10 V.

Table 2 .
The electrothermal properties of the CNT films in this work compared to those of other CNT-based films reported in the literature.