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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
Chem Eng Sci. Author manuscript; available in PMC 2014 January 14.
Published in final edited form as:
PMCID: PMC3551975

Dispersion and Filtration of Carbon Nanotubes (CNTs) and Measurement of Nanoparticle Agglomerates in Diesel Exhaust


Carbon nanotubes (CNTs) tend to form bundles due to their geometry and van der Walls forces, which usually complicates studies of the CNT properties. Dispersion plays a significant role in CNT studies and we summarize dispersion techniques to generate airborne CNTs from suspensions or powders. We describe in detail our technique of CNT aerosolization with controlled degree of agglomeration using an electrospray system. The results of animal inhalation studies using the electrosprayed CNTs are presented. We have performed filtration experiments for CNTs through a screen filter. A numerical model has been established to simulate the CNT filtration experiments. Both the modeling and experimental results show that the CNT penetration is less than the penetration for a sphere with the same mobility diameter, which is mainly due to the larger interception length of the CNTs. There is a need for instruments capable of fast and online measurement of gas-borne nanoparticle agglomerates. We developed an instrument Universal NanoParticle Analyzer (UNPA) and the measurement results for diesel exhaust particulates are presented. The results presented here are pertinent to non-spherical aerosol particles, and illustrate the effects of particle morphology on aerosol behaviors.

Keywords: carbon nanotubes, electrospray, toxicity, filtration, nanoparticle agglomerates, diesel exhaust particles

1. Introduction

CNTs are being used in structural composites for sporting equipment, conductive plastics, electron field emitters, semiconductor devices, etc (Wang et al. 2011a). Multi-wall CNTs (MWCNTs) may have diameters about 85 nm and lengths from 2 to 10 µm (Kim et al. 2010), which are similar to the dimensions of asbestos fibers. Such similarity has raised concerns that CNTs may cause negative health effects similar to asbestos fibers. Wick et al. (2007) showed that while suspended CNT-bundles were less cytotoxic than asbestos, rope-like agglomerates induced more pronounced cytotoxic effects than asbestos fibers at the same concentrations. Poland et al. (2008) reported that CNTs introduced into the abdominal cavity of mice showed asbestos-like pathogenicity in a pilot study. Takagi et al. (2008) and Sakamoto et al. (2009) reported that MWCNTs caused mesothelioma in mice and rats, which is often correlated to asbestos exposure.

Dispersion plays a significant role in CNT studies as CNTs often form large agglomerates of the order of microns when provided by manufacturers in the powder form (Kim et al. 2010). Such large agglomerates have limited mobility, and are easier and safer to handle and transport. Because of their geometry and hydrophobic surface, CNTs have a tendency to form agglomerates with a bundle-like form in aqueous media (Wick et al 2007). Wick et al. studied the effect of degree and kind of agglomeration of CNTs on their cytotoxicity. Davoren et al. (2007) reported the limitation of the instillation method for in vivo or in vitro experiments in several toxicity studies of CNTs, which highlighted the inherent difficulty in testing CNTs due to their agglomerative nature in aqueous media. They suggested further examination using more realistic in vivo inhalation studies with aerosolized CNTs, which were also suggested by Muller et al. (2006). Recently more inhalation studies using airborne CNTs have been reported. Mitchell et al. (2007) studied pulmonary and systemic immune response to inhaled MWCNTs. Shvedova et al. (2008) performed an inhalation study of single-walled CNTs (SWCNTs) on the effect of inflammation, fibrosis, oxidative stress, and mutagenesis. Ryman-Rasmussen et al. (2009a, b) and Pauluhn (2010) studied the effect of inhaled CNTs in the airway system. Kim et al. (2010) used an electrospray system to disperse MWCNTs and exposed rats to the airborne CNTs.

Researchers have developed different methods to disperse CNTs in the aerosol form. Maynard et al. (2004, 2007) used a mechanical agitation method (a vortex shaker) to aerosolize CNT powders. Lee et al. (2009) used a mechanical agitation method (a shaker) and an atomizing method to aerosolize CNT powders and suspensions, respectively. Seto et al. (2010) generated airborne MWCNTs using a Collison atomizer for filtration studies. Mitchell et al. (2007) employed a screw feeder, jet mill, and cutpoint cyclone to produce a respirable aerosol. Baron et al. (2008) used an acoustic feeder system to generate small puffs of CNT powders, which then went through a high-speed knife mill so that the CNT agglomerates may be broken up. The resulting aerosol was size-separated using a settling chamber and two cyclones to produce a respirable aerosol. McKinney et al. (2009) used an acoustic drum to agitate CNTs powders placed on a diaphragm and the resulted airborne CNTs were used for inhalation studies. The above acoustic systems generated CNTs in some degree of agglomeration and the aerodynamic diameter was of the order of several microns. Myojo et al. (2009) used a Palas RBG-1000 aerosol generator to apply mechanical stress to the MWCNTs by a rotating brush, then fed the particles to a two-component fluidized bed to generate aerosols. Ku and Kulkarni (2009) used a capillary electrospray to aerosolize SWCNTs and found that monodisperse SWCNT aerosols below 100 nm were mostly non-agglomerated single fibers, whereas polydisperse aerosols above 100 nm had two distinct morphologies: a ribbon shape and the long, straight fiber. Jennerjohn et al. (2010) used an electrospray system to aerosolize four types of SWCNTs and one type of MWCNTs. We have developed an electrospray system to aerosolize CNTs with controlled degree of agglomeration (Kim et al. 2010, Wang et al. 2011c). The details of this method and animal inhalation results for MWCNTs are described in Section 2. We summarize different CNT aerosolization methods in Table 1.

Table 1
Summary for CNT aerosolization methods in the literature.

Filtration is one of the primary technologies for nanoparticle control. Significant research has been performed on filtration of asbestos and fibrous aerosols (Feigley 1975; Gallily et al. 1986; Spurny 1986; Gentry et al. 1989; Gradoń, et al. 1988, 1991; Gradoń and Podgórski 1990; Myojo 1999; Cheng et al. 2006; Webber et al. 2007; Vallero et al. 2009). However, the studies on the filtration of CNTs in air are still scarce (Seto et al. 2010, Wang et al. 2011a, b). Our capability of generating large amount of airborne CNTs facilitates filtration studies. We have measured penetration of MWCNTs through a metal screen filter. The experimental results and numerical model for CNT filtration are presented in Section 3.

Many nanomaterials are manufactured in the form of nanoparticle agglomerates, which are made up of clusters or chains of nanosize spheres referred to as primary particles. High temperature processes are used to manufacture a variety of materials in agglomerate form including silver, fumed silica, titanium dioxide, and carbon black (Pratsinis 1998, Kim et al. 2009a). Diesel particulate and soot from building fires are also known to be in agglomerated form (Kim et al. 2009b). Agglomerates may possess complicated structures, which makes measurement a difficult task. One of the most common methods for agglomerate measurement is electron microscopy, which can provide direct measurement of the structural properties (Koylu et al. 1995, Rogak et al. 1993, Shin et al. 2009 among many others). However, taking electrical micrographs and performing image analysis can be time consuming and expensive. Fast and online measurement for agglomerates is required in many scenarios including measuring fast changing agglomerates, quality control for material manufacturing, monitoring toxic air-borne agglomerates, etc. Most of the current aerosol instruments are designed for spherical particles. Therefore, there is a need for instruments capable of fast and online measurement of gas-borne nanoparticle agglomerates.

We have developed an instrument, Universal NanoParticle Analyzer (UNPA), for online measurement of gas-borne nanoparticle agglomerates (Wang et al. 2010, Shin et al. 2010). It is based on combined measurement of electrical mobility and unipolar charging properties. The UNPA can provide morphology information of airborne nanoparticles, and determine the primary sphere size if the agglomerates are composed of primary spheres with a fractal dimension less than two (loose agglomerates). We have used the UNPA to measure diesel exhaust particulates and the results are described in Section 4.

2. CNT Dispersion and Animal Inhalation Exposure Test

We developed an electrospray system to disperse and aerosolize CNT colloidal suspensions (Kim et al. 2010, Wang et al. 2011c). The main features of our method are that CNTs with controlled degree of agglomeration can be generated and the output is high compared to other electrospray-based methods. A syringe pump is used to inject the CNT suspensions into a capillary tube. The liquid exiting through the capillary tube is exposed to a strong electric field. The non-uniform electric field causes the liquid meniscus to assume a conical shape established by the balance between the surface tension force and electrical force on the cone. Very small liquid droplets containing CNTs come out of the tip of the capillary. This mechanism can produce droplets in a narrow size distribution, with the peaks ranging from 20 to 500 nm in diameter depending on the liquid conductivity and suspension flowrate. The liquid evaporates quickly and airborne CNTs are obtained. High electrical charges on the electrosprayed nanoparticles lead to repulsion forces, which help to keep the particles separated and free of agglomerates.

Figure 1 illustrates the electrospray system for CNT aerosolization. To achieve high throughput (up to 2 mg/m3), a large capillary (ID 2.0 mm, OD 3.2 mm), high suspension flow rate (up to 9 ml/hr), and a focusing shield with sheath air are used in the electrospray. The focusing shield (ID 6.35 mm) narrows the spray angle and reduces particle loss on the chamber wall. Four Po-210 sources (185 MBq each) are installed in the neutralization chamber in order to minimize electrostatic particle losses during the particle transportation to the animal inhalation chamber. The locations of radioactive sources in the neutralization chamber were carefully chosen to ensure that the entire charge-reduction zone is covered by α particles emitted from the sources while not allowing ions of opposite polarity of the applied voltage to travel upward to reach the spray capillary. This minimizes the potential interference of the spray process due to the neutralization of liquid meniscus surface.

Figure 1
Schematic of the electrospray system for CNT aerosolization.

MWCNTs (MWCNT-7, OD: 50–85 nm, length: up to ~40 µm, Mitsui Co., Japan) were used in our study. The CNT powder was dispersed in the suspension using a bath type ultrasonicator for more than 24 hrs. Ethanol was used as the carrier liquid to control the conductivity of the nanoparticle suspensions and increase the dispersibility of MWCNT. Figure 2 shows the airborne MWCNT size distribution with peaks around 150 and 400 nm, which represent a single MWCNT peak and a MWCNT bundle peak, respectively. The airborne MWCNT size range was similar to those observed by Lee et al. (2009) and Seto et al. (2010). We can control the degree of agglomeration by changing the MWCNT suspension flowrate, because a higher flow rate generates bigger droplet sizes with more MWCNTs in each droplet. Figure 3a shows airborne MWCNTs sampled by an electrostatic precipitator with a suspension flow rate of 3 ml/hr, demonstrating that the particles are well-dispersed and that some maintain a rigid, needle-like shape. Figure 3b shows electrosprayed MWCNTs at a higher flow rate (9 ml/hr), which shows a higher degree of agglomeration. The ability to change the agglomeration degree gives us flexibility in simulating CNTs in realistic emissions.

Figure 2
Number-size distribution of airborne MWCNTs measured by a scanning mobility particle sizer (SMPS) and an aerodynamic particle sizer (APS).
Figure 3
SEM images of electrosprayed MWCNTs (a) with a suspension flow rate of 3 ml/hr; (b) with a suspension flow rate of 9 ml/hr.

Animal inhalation tests were performed using the CNT aerosols. We generated airborne MWCNTs with a suspension flow rate of 3 ml/hr, and the rats were exposed to the CNTs in the inhalation chamber for 4 hrs at a concentration of 800 µg/m3. At 20 hrs post-exposure, animals were killed by an overdose of i.p. pentobarbital, the lungs were excised and lavaged 5 times with saline. After centrifugation (400 g, 10 mins) the lavaged cells were examined by light and scanning electron microscopy. The images (Fig. 4) showed that alveolar macrophages contained the electrosprayed MWCNTs; the shorter ones agglomerated inside macrophages and the longer ones were only partly phagocytized, which might cause irritation to the lung.

Figure 4
SEM image of rat alveolar macrophages in lung lavage fluid 20 hrs after electrospray inhalation exposure to MWCNTs.

3. Experimental and Modeling Studies of CNT Filtration

We have performed filtration experiments using the electrosprayed airborne CNTs (Wang et al. 2011a, b). The CNTs were classified by a different mobility analyzer (DMA), then passed through a Po-210 neutralizer and the selected CNTs with the same electrical mobility size were used to challenge the filter. The concentrations upstream and downstream of the filter were measured by a condensation particle counter (CPC). Then the fractional penetration through the filter was obtained. The testing filters were screens made of 635-mesh type 304 stainless steel, which are used in the diffusion battery (TSI, model 3040). The screen wire is 20 µm in diameter and the opening dimension is also 20 µm (Fig. 5). Figure 6 shows the measured penetration values of CNTs and polystyrene latex (PSL) spheres as functions of the mobility size. PSL particles were used to provide the control data set. When the mobility size is above 100 nm, the penetration of CNTs is considerably lower than that of PSL spheres. The interception mechanism plays an important role in this size range. The CNTs have open structures and larger interception lengths than spheres, thus lower penetration.

Figure 5
SEM images of the stainless steel screen used in the filtration tests.
Figure 6
The measured penetration values of multi-wall CNTs and PSL spheres.

We developed a numerical model for fibrous filtration using the computational fluid dynamics code FLUENT (Wang et al. 2008a, b, Wang and Pui 2009). Simulations for CNTs pose new challenges since their motion in air flow is more complicated than spherical particles. A three-dimension model including two perpendicular cylinders with 20 µm diameter and 40 µm height is created to simulate the cross-shaped section (Fig. 7) of the screen filter. The simulation domain is a long box with a 40 µm by 40 µm cross-section and the two cylinders are placed at the center of the domain. The inlet of the flow is 200 µm upstream to the first cylinder and a uniform velocity profile is prescribed. The outlet of the flow is 200 µm downstream to the second cylinder and the derivatives normal to the outlet plane are set to be zero. No-slip condition is used on the cylinder surfaces. Symmetric conditions are used on the four sides of the simulation domain. Mesh with tetrahedral cells is used to discreticize the simulation domain.

Figure 7
The three-dimension model for simulation of the cross-shaped section in the screen filter.

The flow field is obtained by solving the steady-state incompressible Navier-Stokes equations. Mechanisms for particle capture include diffusion, interception, inertial impaction, electrostatic effect and gravitational settling. Here we consider neutral particles thus the electrostatic effect is not involved. Gravitational settling is usually negligible for nanoparticles. Numerical study of the particle capture due to diffusion may be carried out by solving the convective diffusion equation

μi[partial differential][partial differential]xin=D[partial differential]2[partial differential]xi2n,

where ui is the ith component of the flow velocity, D is the diffusion coefficient and n is the particle concentration. The particle concentration is obtained by solving (1), then penetration when diffusion is the only capture mechanism, is computed as


where noutlet and ninlet are the average particle concentrations at the outlet and inlet, respectively. To simulate particle capture due to interception and inertial impaction, we add particles to the flow using the Discrete Phase Model. This model calculates the trajectories of particles using a Lagrangian formulation that includes the particle inertia and hydrodynamic drag. The governing equation of the particle motion is


where m is the particle mass, v is the particle velocity, t is the time and Fd is the drag on the particle. Equation (3) gives the trajectory of the center of particle mass. Rotation and thus spatial orientation of non-spherical particles can be obtained by solving the torque equation. We do not solve the torque equation for each individual particle, instead, the effects of particle orientation on the drag, diffusion coefficient and interception length are considered in the sense of average over a large number of fibrous particles. The particle size and interception are taken into account by a User Defined Function (Wang and Pui 2009). We assume a particle is permanently captured when it comes into contact with a filter fiber, which is widely accepted in classical filtration theory because of the strong van der Waals force between nanoparticles and filter fibers. We release a large number of particles distributed evenly in the cross-section upstream to the filter and track their movement. The number of particles that escape at the outlet is determined and we can compute the penetration. The particle deposition is due to the combined effects of inertial impaction and interception, and the penetration will be denoted as PnI+R. The total penetration when mechanical mechanisms for particle capture are considered is then


We discuss application of the general numerical model to filtration of CNTs by the screen filter. The length, diameter and mass of CNTs need to be determined for the simulation. We utilized the DMA to select CNTs of a certain mobility diameter and analyzed them by SEM. This allowed us to determine the CNT length as a function of the mobility diameter. Our results show that the mean CNT length was 2300 nm, 4300 nm and 6100 nm when the CNT mobility diameter was 200 nm, 300 nm and 400 nm, respectively. The geometric diameter of the CNTs was dCNT = 85 nm for the MWCNTs in our experiments. Kim S.H. et al. (2009) reported that the density of size-selected MWCNTs was 1.74 g/cm3 measured by a mobility-mass method. With the length, diameter and density, we can compute the mass of CNTs for different values of their mobility diameter.

Next consider the drag force and diffusion coefficient of CNTs, which can be computed based on their mobility diameters. However, the orientation of the CNTs may be different in the DMA and the filter. Short CNTs may rotate freely in the DMA, but long CNTs may be aligned with the electrical field. Kim S.H. et al. (2007) showed that CNTs with the aspect ratio larger than 30 would align with the electrical field in the DMA. Following their results, we find that for short CNTs (with the mobility diameter dm less than 213 nm), the orientation is random in both the DMA and the filter, thus the drag and diffusion coefficient of short CNTs in the filter are the same as those of spheres with the same mobility diameter. For long CNTs (with the mobility diameter dm larger than 213 nm), the orientations in the DMA and in the filter are different, thus the drag force on the long CNTs in the filter is larger than that in the DMA, and the diffusion coefficient in the filter is smaller than that in the DMA.

Interception is considered to occur if any point on a CNT contacts a wire in the screen filter. The interception length is determined based on the CNT length and the average angle between the CNT and the filter wire surface. We found that the CNT interception length was much larger than their mobility diameters, which is the main explanation for that the CNT penetration is less than that for a sphere with the same mobility diameter, as observed in the experiments.

The simulation results for CNT penetration are compared to the experimental ones as shown in Fig. 8. Simulation is also carried out for spherical PSL particles and the agreement between the model and experiments is excellent. This demonstrates that our general numerical methods are sound. For the CNTs, the modeling results agree reasonably well with experiments when dm < 250 nm, but significantly underestimate the penetration when dm > 250 nm. Both the modeling and experimental results show that the CNT penetration is less than the penetration for a sphere with the same mobility diameter, which is mainly due to the larger interception length of the CNTs. One reason for underestimation of the penetration of longer CNTs (dm > 250 nm) may be that they curl or bend in the flow, which makes their effective interception length smaller and easier to penetrate the filter. Examples of SEM images of electrosprayed CNTs in Figures 2, ,3,3, and and66 show that both straight and curled CNTs exist. Gradoń and Podgórski (1990) showed that perfectly flexible elongated particles can deform and align with the streamline and pass by the filter element. Our CNTs are not perfectly flexible but the longer CNTs may bend in the flow and the results agree qualitatively with Gradoń and Podgórski (1990). We used CNT suspensions with low concentrations in the filtration study, thus the agglomeration degree was low and we obtained many single CNTs as shown in SEM images (Wang et al. 2011b). Nevertheless, it is possible that agglomeration has some impact on the filtration results when the mobility diameter is over 250 nm, since the agglomeration degree increases with the mobility diameter. The CNT agglomerates are more compact than individual CNTs, therefore their interception length is smaller than that of the individual CNTs of the same mobility diameter, which leads to higher penetration for the CNT agglomerates.

Figure 8
Penetrations of PSL particles and CNTs through the screen filter as functions of the mobility size dm.

4. Measurement of Agglomerates using the Universal NanoParticle Analyzer (UNPA)

We have developed the instrument UNPA, for online measurement of gas-borne nanoparticle agglomerates (Wang et al. 2010, Shin et al. 2010). UNPA utilizes DMA, CPC and Nanoparticle Surface Area Monitor (NSAM) to characterize airborne nanoparticle morphology and measure the number, surface area and volume distributions of airborne nanoparticles. The key parameter measured is the UNPA sensitivity, which is defined as the current I (fA) measured by the NSAM divided by the number concentration N (#/cm3) measured by the CPC


Charging theories of Chang (1981) for aerosol particles of arbitrary shape indicate that the geometric surface area and electrical capacitance of the particles are two important parameters to determine the mean charge of non-spherical particles. The electrical capacitance of agglomerates may be computed using a variational method proposed by Brown and Hemingway (1995). The surface area of loose agglomerates may be calculated using a mobility analysis developed by Lall and Friedlander (2006). Shin et al. (2010) combined the above analyses to show that the electrical capacitance of loose agglomerates is larger than that of spherical particles with the same mobility, and loose agglomerates can gain more charges from unipolar charging.

The primary particle size plays an important role in determination of the surface area and electrical capacitance, thus the charges on agglomerates. The UNPA sensitivity is related to the primary particle diameter dp. We found that the UNPA sensitivity can be correlated to the primary particle size through a power law relation (Wang et al. 2010)


where c* is a constant regarding particle orientation, λ is the mean gas free path, c1, c2, k and h are constants which can be determined from the experimental data. Then the sensitivity data from the experiments can be fitted into (6) to determine the primary particle diameter dp. Once the primary particle size is determined, surface area and volume of the agglomerates can be calculated.

Diesel engine exhaust has profound impact on environment and ecosystem. Diesel aerosols are mainly agglomerates with open structures and composed of primary particles (Fig. 9). We measured diesel aerosols generated from a 4045 John Deere Diesel Engine using UNPA. A schematic of the experiment is shown in Fig. 10. Diesel aerosols were sampled form the exhaust pipe and mixed with dilution air in the residence chamber. Then the diesel aerosols were sent to Nanometer Aerosol Sampler (NAS) for collection of electron micrograph samples, and to UNPA for agglomerate measurement.

Figure 9
TEM images of diesel particles under the following conditions (a) light load, (b) heavy load.
Figure 10
A schematic of the setup for diesel aerosol sampling and measurement.

We sampled the diesel aerosols under two engine conditions: light load and heavy load. The engine speed, torque and exhaust temperature increased with the load. A catalytic stripper was used to remove sulfur compounds and the soluble organic fraction by passing the diluted diesel exhaust over two heated catalysts. The primary particle sizes of diesel particles measured by UNPA are listed in Table 2. The UNPA sensitivities and the primary particle sizes for the diesel particles with and without the catalytic stripper are nearly identical. The result indicates that the coating of the soluble organic fraction does not change the particle morphology significantly, neither does it change the charging properties of the particles substantially, since the material effect is only a secondary effect on diffusion charging. The result is consistent with past results showing that the adsorbed materials on diesel soot particles have little influence on the mobility size (Kittelson et al. 2005). The primary sizes were also measured using a large number of TEM images. A total of 212 primary particles were analyzed in the case of heavy load, and 189 primary particles in the case of light load. The primary particle size from TEM agreed well with UNPA measurement for the heavy load case. In the case of light load, there was about 6 nm difference between UNPA and TEM results, which was still within the standard deviation of the TEM result.

Table 2
Comparison of the primary particle size in diesel agglomerates measured by UNPA and TEM.

5. Summary

We discuss dispersion and filtration of CNTs and measurement of nanoparticle agglomerates in diesel exhaust. A number of techniques to generate airborne CNTs from powders or suspensions are reviewed, including mechanical shakers, mills, fluidized beds, acoustic drums, atomizers and electrosprays. We have developed an electrospray system to aerosolize CNTs from suspensions, and the agglomeration degree increases with the flow rate of the suspension. We used electrosprayed MWCNTs for animal inhalations studies and found the CNTs in alveolar macrophages. We also used the electrosprayed MWCNTs for a filtration study. The penetration of CNTs through a metal screen was shown to be significantly lower than spheres of the same mobility size. A numerical model was established to simulate the CNT filtration experiments. The results indicate that the larger interception lengths of the CNTs were the main reason for the lower penetration.

Nanoparticle agglomerates possess different electrical charging properties than spherical particles, which is the basis of our instrument Universal NanoParticle Analyzer (UNPA). UNPA measurement results for diesel exhaust particulates agreed well with offline measurements.


  • □ A summary of the dispersion techniques for airborne carbon nanotubes (CNTs) is presented.
  • □ CNT aerosolization by electrospray and the toxicity study with the CNTs are presented.
  • □ Filtration of airborne CNTs is investigated both experimentally and numerically.
  • □ Diesel exhaust particulates are measured with the Universal NanoParticle Analyzer.

7. Acknowledgement

The work was partially supported by the US National Institute of Environmental Health Sciences grant “Hazard Assessment and Risk Estimation of Inhaled Nanomaterials Exposure” # 1RC2ES018741-01 (sub-grant 100029-D) and by the Swiss National Science Foundation grant “Evaluation platform for safety and environmental risks of carbon nanotube reinforced nanocomposites” 406440_131286.


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