#### Abstract

The electric currents between electrodes in the electrospinning process are based on the movement of charge carriers through the spinning space. The majority of the charge carriers are formed by ionization of the air close to the metallic needle and to the polymer jet. The salt contained in the polymer solution contributes to the concentration of charge carriers, depending on its amount. The conductivity of polymer jets does not significantly affect the current since the jets do not link the electrodes.

#### 1. Introduction

Electric current was studied across various electrospinning (ES) techniques, namely, in the needle ES , rod ES [15, 16], and roller ES . In the needle ES, two sorts of experimental arrangement were employed: the “point-plate” geometry [7, 9, 11] and “parallel-plate” geometry [4, 6, 9, 13]. Advantages of the latter geometry are explained in . It mainly consists of an easier interpretation of measured data in the uniform electric field of the parallel-plate spinner.

In the above mentioned works, the dependence of the electric current in the jet on various independent process parameters was studied, such as solution feed, solution conductivity, applied voltage, the diameter of the hollow needle, relative humidity, and some geometrical characteristics. The results of these experiments were formulated in a number of both phenomenological and theoretical equations, such as the dependence of the current in a jet on independent ES parameters , as shown in (1) and (2).

The empirical equation (1) says that the current was found to scale as where is the current flowing through a jet, is the field strength, is the flow rate, and is the conductivity of the solution. Equation (1) may be applied to various polymer solutions in nonaqueous solvents. Theoretical Equation (2) describes current in a jet as where is the radius of the jet, , , and as in (1) above and is the surface charge density.

The first term in (2) refers to the conduction current and the second to the advection of the surface charge.

It is the aim of the present work to study the dependence of current on various process parameters in more detail and to explain the results in terms of the mechanism of charge transport.

#### 2. Experimental

In the experimental part, one preliminary test and four groups of experiments were performed as follows.

Preliminary Test. Measurement of changes in the current depending on the measuring device’s needle protrusion length.

Group of Experiments 1. Measurement of changes in the current caused by polymer concentration, solution viscosity, solution conductivity, and voltage for both nonaqueous and aqueous polymer solutions.

Because the results showed some discrepancies (see “Section 3”), additional experiments were performed to explain these discrepancies, as follows.

Group of Experiments 2. Measurement of jet length.

Group of Experiments 3. Measurement of the current in the “point-plate” and “parallel-plate” spinners using collectors of various sizes. These measurements were performed with and without polymer solutions.

Group of Experiments 4. Measurement of the current dependent on needle protrusion length, on jet length, and on their sum.

Two polymers and two solvents were used in these experiments to prepare a series of nonaqueous and aqueous solutions. It is known from previous works  that the nonaqueous and aqueous solutions show considerably different behaviour in the electrospinning process. The samples in both series differed in polymer concentration, viscosity, and conductivity as follows:(1)polyurethane (PU), Larithane LS 1086 produced by Novotex, Italy, dimethylformamide (DMF), purchased from Fluka, and tetraethylammonium bromide (TEAB), purchased from Fluka;(2)poly(ethylene oxide) (PEO), mol. weight 400,000 Da, purchased from Scientific Polymer Products, distilled water, and TEAB (as above).

The electric conductivity of the solutions was measured using a Radelkis OK-102/1 conductivity meter and the zero-shear viscosity was measured using a HAAKE Roto Visco rheometer at 25°C. The list of samples, including their conductivities and viscosities, is shown in Table 1 through 4.

The solutions were electrospun in the “parallel-plate” spinner (Figure 1). The parallel plates were made of steel, with a diameter of 280 mm. In a “parallel-plate” spinner, the needle penetrates through a small orifice in one plate. It is in contact with the plate so that the plate is charged to the same potential as the needle. The distance between the tip of the needle and the charged plate is called the “needle protrusion length.”

In the preliminary test, the current was measured as a function of the protrusion length. The protrusion of the needle from the charged plate was mentioned by Shin et al.  and Fallahi et al.  as an important parameter of the spinner, and its effect on the current was found to be rather strong in the study of Shin et al.  and Yener et al. . The dependence of the current on the protrusion length can be seen as a characteristic of the spinner. It was measured in the following conditions: polymer solution: 20% PU in DMF + 1.27% TEAB, feed rate of 0.5 mL/hour, voltage of 35 kV, and a distance of 105 mm between the tip of the needle and the collector. During the experiment, the protrusion length was increased from 0 to 7 mm and the charged plate was then removed so that the device was converted from “parallel-plate” to “point-plate” geometry. In “parallel-plate” geometry, the current grew with increasing protrusion length (Figure 2) from a value close to zero to ca. 0.7 μA. After the charged plate had been removed, the value of the current jumped to 20 μA (not shown in Figure 2).

In the first group of experiments, the current was measured as a function of various independent parameters. The results are shown in Tables 4 and 5.

The spinning conditions were based on previous results so that nanofibers of a good quality were produced in all of the experiments: a protruding length of 7 mm, an outer needle diameter of 0.6 mm, and a feed rate of 0.5 mL/hour. Some other conditions, such as polymer concentrations and the distance between the tip of the needle and the collector plate, were different for PU and PEO solutions (see below). During the spinning process, the current was measured and the data were stored in a computer as described in .

In the second group of experiments, the length of the jets (Figure 3) was measured using the photographic records. A Sony Full HD NEX-VG10E Handy cam (14.2 megapixels)-E18-200 mm Lens camera was used in the experiments. The results are shown in Tables 7 and 8.

In the third group of experiments, the current between the tip of the needle and the collector was measured as follows:(i)in both “parallel-plate” and “point plate” spinners,(ii)with four collector electrodes differing from each other in size, namely, (a)diameter of 280 mm (area 61,600 mm2), (b)diameter of 80 mm (area 5,000 mm2), (c)diameter of 10 mm (area 78.5 mm2), (d)diameter of 2.5 mm (area 4.9 mm2).

The experiments were variously carried out using the following:(i)a low conductive solution (17.5% PU, conductivity 0.04 mS/cm), (ii)a high conductive solution (17.5% PU + 1.27% TEAB, conductivity 1.6 mS/cm),(iii)no solution,(iv)three different values of voltages being applied: 25, 27.5, and 30 kV,(v)the distance from the tip of the needle to the collector being 105 mm,(vi)the solution feed being 0.5 mL/hour.

The results of these experiments are shown in Tables 9 and 10.

In the fourth group of experiments, the current was measured at various values of needle protrusion length. The length of jets was also measured as described above. The results are shown in Tables 11 and 12 and in Figures 711.

#### 3. Results and Discussion

In the preliminary test, the dependence of the current on the “needle protrusion length” (Figure 2) was found to be rather strong. At the zero protrusion length, which can be understood as “pure” parallel-plate geometry, spinning hardly occurs and the current is close to zero. On the other hand, an extremely high protrusion length (represented by the point-plate geometry) exhibited currents as high as 20 μA. Thus, the dependence of the current on the “needle protrusion length” seems to be good characteristic of needle electrospinning devices.

A list of the polymer solutions used in these experiments and their basic properties is shown in the following tables.

Tables 1 and 2 illustrate PU solutions in DMF containing 15, 17.5, and 20 weight percent of polymer and 0, 0.4, 0.8, and 1.27 weight percent of TEAB. Tables 3(a) and 3(b) show PEO solutions in water containing 3, 4, 5, and 6 weight per cent of polymer and 0 or 1 weight per cent of TEAB.

The data in Tables 13 shows anticipated facts, namely, the following:(i)the conductivity of solutions grows with the salt content;(ii)the conductivity of solutions containing salt falls when viscosity increases; (iii)the viscosity of solutions increases with an increase in polymer concentration;(iv)the viscosity of solutions is only moderately influenced by the salt content.

The results of the first group of experiments, the values of the current measured during the spinning at various levels of voltage are shown in Tables 4 and 5.

Note that the electrospinning process and the current between electrodes can be influenced by the electric resistance of the electrospun nanofiber layer and/or take-up fabric depending on their thickness and resistivity. The presented experiments have been conducted in a relatively short time; therefore, the resistances were negligible.

The values of the currents in Tables 4 and 5 show some unexpected relationships (a)–(c) as follows. (a)The electric conductivity of all solutions containing salt decreases as viscosity/polymer concentration increases. This is easy to explain given the lower mobility of ions in more viscous solutions. In contrast, the current measured during the ES process grew with increasing viscosity. This was observed at all the values of voltage and salt content (in the PU solutions), in both the aqueous and nonaqueous solutions, and is in conflict with (1) and (2).

To make the situation more comprehensible for readers, Figure 4 gives a representation of the unexpected relations.

(b)The growth of the measured current in proportion to the applied voltage is much steeper than that predicted by (1) and (2).(c)The calculation of the current from (2) yields much larger values than those measured experimentally.

Since it is difficult to estimate the surface charge density in (2), we have calculated the current from the first part of (2) only as follows:

For this calculation, the jets were approximated by a cylinder of diameter . According to the data in the literature  as well as to our own measurements, the jet diameter can be estimated as being between 0.1 and 0.5 mm. Therefore, the current was calculated for jet diameters of 0.1, 0.2, and 0.5 mm.

The conductivities of the solutions were chosen as follows: 0.05, 0.1, 0.5, 1, and 5 mS/cm; these were chosen to correspond to the values in Tables 1 and 3. A value of 100 000 V/m was given for . The calculated values of the current are shown in Table 6.

The values of the current in Table 6 are significantly larger than the experimental values, corresponding to solutions of similar conductivities in Tables 4 and 5. The difference amounts to approximately 3 decimal orders.

Further measurements carried out within the second group of experiments were inspired by the Ph.D. thesis of Dao , who measured the length of jets and their dependence on various spinning parameters, the viscosity of polymer solutions, among others. The results of the measurements are given in Tables 7 and 8.

The results in Tables 7 and 8 can be summarized as follows:(i)very short (1 mm) as well as very long (60 mm) jets were observed and the measurements are well reproducible; (ii)the length of the jets does not depend on the applied voltage except in cases of very low salt content or low conductivity (observed at PU only);(iii)the length of the jets decreases with increased salt content (observed at PU, but not measured at PEO);(iv)the length of the jets significantly increases with growing solution viscosity.

Dao  offered the following interpretation of the above dependencies: in the polymer solutions, ions are randomly distributed in bulk. In the jet, due to repulsive forces, ions move radially toward the jet surface. The velocity of the movement is limited by the solution’s viscosity. When the concentration of ions at the jet surface reaches a critical value, the jet is converted into nanofibers via whipping instability and/or splitting. Thus, low viscosity and high salt content help to create critical ions concentration in less time, which leads to shorter jets (shown in Figure 5). Nevertheless, neither Dao’s theory nor the presented experiments offer an explanation for the substantial difference between the PU and PEO jet lengths.

Let us go back now to unexpected relationships (a)–(c) mentioned previously. Two attempts have been made to explain the measured data.

The first attempt was based on the model shown in Figure 6. In the model, the space between the tip of the needle and the collector electrode consists of two sub-spaces, namely, of jet subspace and fibers subspace. The size of the space is expressed as where is the length of the jet sub-space and is the length of the fibers sub-space. Electric resistance of the space is found by the following equation: where and are resistivities in () of both sub-spaces. Let us suppose that resistivity depends on the conductivity and diameter of the jet according to (3). The resistivity of the fiber sub-space is connected to the transport of charges with polymer fibers, salt molecules, and ions, evaporated solvent, and plasma particles created in the strong electric field and is probably much greater than . Therefore, longer jets lead to shorter , smaller , smaller total resistance , and a greater current.

The total resistance was calculated using Ohm’s law and from the solution conductivity, length, and diameter of the jet. The same jet diameters of 0.2 mm were used in the calculations for all of the jets and then, the values of , , and were calculated using (4) and (5).

An example of calculation is as follows.Data: voltage  V, current μA, solution conductivity  mScm−1 0.1 Sm−1, = 100 mm, = 10 mm, = 90 mm, and jet radius = 0.1 mm.Then, one has the following:total conduction of spinning space ,conduction of the jet ,resistance of the jet ,resistance of fiber space ,resistivities: , .

The calculations did not support the model in Figure 6. The following results were observed.(i)The resistances amounted to 3–200 × 109 Ohms for the sample solutions taken into experiments. Compared to that, the calculated jet resistances were found to be 4 to 6 decimal orders smaller (0.2–4 × 106 Ohms) so that total resistance is almost equal to . This also justifies the use of a single value for the jet diameter—0.2 mm—in the calculations: the values of would be almost the same if the diameter was plus or minus one decimal order.(ii)The values of and were expected to be constant in the groups of solutions containing the same polymer and equal concentration of salt. As the calculations revealed, this was not the case. The differences in total resistances (and current) cannot be explained by different lengths of relatively high conductive jets.

In the second attempt to explain the above discrepancies, the role of plasma particles was studied. The plasma particles generated by the ionization of air in a strong electric field move between electrodes (through both jet sub-space and fibers sub-space as seen in Figure 6) and serve as charge carriers, contributing to the total electric current. Plasma particles can be formed at the collector electrode if it is small enough as well as at the tip of the needle and the polymer jet, depending on the needle protrusion length and jet length. To evaluate the effect of plasma particles, the third and fourth group of experiments were performed.

The third group of experiments consisted of spinning, using collector electrodes of various diameters. The parameters of the experiments are described in the experimental section. The results are shown in Tables 9 and 10.

The results in Tables 9 and 10 show the following.(i)The values of the current are considerably larger in the “point-plate” spinner than in the “parallel-plate” spinner. This is due to the high intensity of the electric field at the tip of the needle, which leads to the formation of additional plasma particles as charge carriers.(ii)In the “parallel-plate” spinner, plasma particles are formed with the collector of the smallest diameter (2.5 mm) only. This yields the highest values of current when compared with the other collectors. The smallest collector increases current even in the “point-plate” spinner.(iii)Plasma particles are not formed at collectors with 10 mm diameters and larger.(iv)With these larger collectors, the current increases with the increasing collector diameter due to the increased area for charge carriers to move in the cone between the needle tip and collector. Thus, a greater collector diameter makes the resistance smaller.

The process of the air ionization and formation of plasma particles in the strong electric field has been studied and described by many authors . To explain the role of needle protrusion length and jet length in forming plasma particles, current and length of jets were measured in the fourth group of experiments. Needle protrusion length was an independent parameter in the experiments.

Note: it is obvious from Tables 11 and 12 that an increase in the needle protrusion length leads to a shorter jet length. This is caused by the deformation of the electric field in the vicinity of highly conductive needle and resultant smaller elongation of the jet.

The results, shown in Tables 11 and 12 and in Figures 7 and 8, indicate that both needle protrusion length and jet length contribute to an increase in the current. Therefore, the current is plotted against the sum of the protruding length and the jet length in Figures 9 and 10.

The graphs in Figures 9 and 10 show significant differences in the behaviour between PU and PEO solutions. PU solutions create short (1–6 mm) jets and the current depends on the sum of the protrusion length and the jet length. Conversely, PEO solutions create much longer (17–48 mm) jets, and the effect of the jet length on the formation of plasma particles is less than that of the needle protrusion length.

To evaluate the role of jet length in PEO solutions relative to that of needle protrusion length, the current was plotted against the value of the protrusion length + ( × jet length). The optimum value of coefficient was found based on the correlation coefficient in the polynomial model for the above relation—see Figure 11.

#### 4. Conclusions

The results of the experiments show that the value of the electric current in the electrospinning process is mainly based on the movement of charge carriers between the spinning and collector electrodes. The charge carriers are mainly formed by the ionization of air in the vicinity of small objects, such as the protruding part of the needle, a jet, or a collector electrode, provided it is small enough. The number of charge carriers depends on the strength of the electric field, that is, on the voltage applied and the size of electrodes. The salts contained in polymer solutions are another source of charge carriers. Nevertheless, the plasma particles formed by the ionization of air are the dominant source of charge carriers. As the data in Table 10 show, a rather strong current can be observed between the electrodes even without any feed of polymer solution. Charge carriers move between the electrodes through the “sub-spaces” shown in Figure 6. Thus, the idea of the total resistance of spinning space as a sum of and is not relevant to the explanation of the nature of the electric current.

The plasma particles moving between the electrodes create the effect known as “electric wind.” This effect can be stopped by a sheet of paper.

Equation (1), describing the experimentally found dependence of current on , , and , is in agreement with our experiments: increasing enhances the ionization process considerably, while increasing and is linked with greater amounts of salts as a source of charge carriers.

On the other hand, (2) describes the conductivity of the jet itself, which has no relation to the total current measured during the electrospinning process.

#### 5. Future Work

Further research may be conducted on some particular points, including the following:(i)the effect of specific polymers, solvents, and salts on the length of jets;(ii)the effect of the same variables on the ionization of air;(iii)the effect of jet length on the ionization of air and so forth;(iv)the effect of environmental conditions on the current.

#### Acknowledgment

The authors are thankful for the Ministry of Education, Youth, and Sports of the Czech Republic (student’s grant competition TUL in specific university research in 2012, Project no. 4866, and 2013, Project no. 48004) for their financial support.