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Institute for Environment and Sustainability                            1




       Joint Research Centre (JRC)

   Modelling of diesel-engine exhaust
          nanoparticle dynamics

                                L. Isella, B. Giechaskiel, Y. Drossinos
IES - Institute for Environment and Sustainability

Ispra, Italy

http://ies.jrc.ec.europa.eu
http://www.jrc.ec.europa.eu
Motivation and Goals
Institute for Environment and Sustainability




• Diesel-generated nanoparticles raise concerns about their effects on
    human health and environment.
•   Legislation regulating diesel-vehicle particulate mass emissions
    (EURO1,2,3,4,etc. . . ), but particle number distributions may be a
    better metric (especially for health effects).
•   Evaluate effect of sampling and experimental conditions on
    measured particle number distributions emitted from light/heavy duty
    vehicles ⇒ PMP.
•   Exploratory research as an experimental and theoretical study of the
    dynamics of non-volatile (PMP) particles emitted from diesel
    light-duty vehicles (emphasis on nanoparticle agglomeration).
•   Experiments performed at the Vehicle Emission LAboratories
    (VELA) at Ispra.
Experimental set-up
Institute for Environment and Sustainability




• Temperature and particle number distribution measurements along
    whole experimental manifold (not only at legislated position).
Vela Laboratory
Institute for Environment and Sustainability
Experimental number distributions
Institute for Environment and Sustainability




                                                    6 × 107 1.2 × 108 1.8 × 108 2.4 × 108
                                                                                                                                                                  inlet
                                                                                                                                                                  outlet
                                                                                                                                                          ●
                                                                                                                                                                  lognormal fit


                               dN dlogdagg [cm−3]
                                                                                                                                   ●●
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                                                                                                                                                                        ● ● ●● ● ● ● ● ●
                                                                                                   ●
                                                                                               ●
                                                           0




                                                                                                                                                                                ●



                                                                                                20                    50               100            200                   500
                                                                                                                                  dagg [nm]
• Lognormal number distribution (EURO3 vehicle, 120Km/h)

                                                                                                                                   (log dagg − log µ)2
                                                                                             N∞
                          dN fit = √                                                                             exp −                                                                d log dagg .
                                                                                                                                             2 log2 σ
                                                                                            2π log σ
• Compact way of representing the data: N∞ , µ and σ unambiguously
    describe the experimental data.
Aerosol in a Tube
 Institute for Environment and Sustainability

                                                             z = Um τ

                                                                     Diffusional
             ExhaustCarrier                           Agglomeration losses (vdif)
                 Flow
                                                                Kij
                                                Monomers
                    Um
                                                  R
                                                        Thermophoretic
                                                                                ∆T
                                                            losses (vth)

• Four different aerosol processes: agglomeration, diffusion,
     thermophoresis and convection.
• 1D model neglecting turbulence-induced local particle density
     inhomogeneities.
• nq (flux-averaged axial aggregate concentration of size dq [q-mer])
     along tube as function of residence time τ
                                                                           q−mer creation                q−mer removal
dnq (τ )    2(vdif + vth )           1
         =−                                                                     Kij ni (τ )nj (τ ) −nq (τ )       Kiq ni (τ ) .
                           nq (τ ) +
  dτ             R                   2
                                                                        i+j=q                                 i
                            diffusion and thermophoresis
                                                                                         agglomeration
Time-Scales and Approximations
Institute for Environment and Sustainability




                                                                                                                                          103 s, τth
• Time-scales for each process: τagg                                                                            2s, τdif                                    30s and
                           2s.
    τconv

                                           1.4 × 108
                                                                                                                            Simulation
                                                                                                                    q

                                                                                                                            Outlet measurement
                                                         q



                                                              q


                                                                  q

                                                                                                    Residence time for
                                           1.18 × 108

                                                                      q
                                                                                                 a 6.5m long transfer tube
                                                                           q

                                                                                q
                                N[cm−3]




                                                                                     q

                                                                                         q

                                                                                             q

                                                                                                 q
                                           9.6 × 107




                                                                                                      q
                                                                                                            q
                                                                                                                q
                                                                                                                        q
                                                                                                                            q
                                                                                                                                 q
                                                                            Final concentration for a                                 q
                                                                                                                                          q
                                                                          6.5m long transfer tube (LAT)                                       q
                                                                                                                                                  q
                                                                                                                                                       q
                                                                            Final concentration for a
                                           7.4 × 107




                                                                          9m long transfer tube
                                                                                     (VELA)

                                                        0.0                    0.5                   1.0                        1.5                   2.0
                                                                                                     τ[s]
• Effect of the transfer tube length on number concentration: important
    for experiment reproducibility.
• Transfer tube length should be regulated.
• Different τagg ∝ 1/N∞ (0) for a light-duty Euro4-5 diesel engine.
Langevin Equation
Institute for Environment and Sustainability




                                               m1

                               Random kicks from air molecules

                                                     Brownian motion and nanoparticle diffusion (fluctuation) W




                               Push monomer through air
                                                                       Friction (dissipation) β1




                                                    Interaction force F between monomers

• 3D system of interacting monomers, each obeying
                                               m1¨i = Fi −m1 β1 ri + Wi (t) .
                                                                ˙
                                                 r
                                                          force     friction     noise
Aggregate Morphologies
Institute for Environment and Sustainability
Final Remarks
Institute for Environment and Sustainability



• Exploratory research beneficial to on-site experimental activities
  (VELA).
• Strengthening of JRC scientific reputation by addressing topical
  issues in diesel-vehicle particulate emissions.
• Recommendation for policy makers ⇒ transfer tube length to be
  regulated.
• Debate whether to regulate light/heavy duty emitted diesel particle
  number distributions in the future ⇒ timeliness of the exploratory
  research.

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Talk given in at the Joint Research Centre, Ispra, Italy, December 2009.

  • 1. Institute for Environment and Sustainability 1 Joint Research Centre (JRC) Modelling of diesel-engine exhaust nanoparticle dynamics L. Isella, B. Giechaskiel, Y. Drossinos IES - Institute for Environment and Sustainability Ispra, Italy http://ies.jrc.ec.europa.eu http://www.jrc.ec.europa.eu
  • 2. Motivation and Goals Institute for Environment and Sustainability • Diesel-generated nanoparticles raise concerns about their effects on human health and environment. • Legislation regulating diesel-vehicle particulate mass emissions (EURO1,2,3,4,etc. . . ), but particle number distributions may be a better metric (especially for health effects). • Evaluate effect of sampling and experimental conditions on measured particle number distributions emitted from light/heavy duty vehicles ⇒ PMP. • Exploratory research as an experimental and theoretical study of the dynamics of non-volatile (PMP) particles emitted from diesel light-duty vehicles (emphasis on nanoparticle agglomeration). • Experiments performed at the Vehicle Emission LAboratories (VELA) at Ispra.
  • 3. Experimental set-up Institute for Environment and Sustainability • Temperature and particle number distribution measurements along whole experimental manifold (not only at legislated position).
  • 4. Vela Laboratory Institute for Environment and Sustainability
  • 5. Experimental number distributions Institute for Environment and Sustainability 6 × 107 1.2 × 108 1.8 × 108 2.4 × 108 inlet outlet ● lognormal fit dN dlogdagg [cm−3] ●● ●●● ● ● ●● ● ●●● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ●● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ●● ●● ●● ● ● ●● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● 0 ● 20 50 100 200 500 dagg [nm] • Lognormal number distribution (EURO3 vehicle, 120Km/h) (log dagg − log µ)2 N∞ dN fit = √ exp − d log dagg . 2 log2 σ 2π log σ • Compact way of representing the data: N∞ , µ and σ unambiguously describe the experimental data.
  • 6. Aerosol in a Tube Institute for Environment and Sustainability z = Um τ Diffusional ExhaustCarrier Agglomeration losses (vdif) Flow Kij Monomers Um R Thermophoretic ∆T losses (vth) • Four different aerosol processes: agglomeration, diffusion, thermophoresis and convection. • 1D model neglecting turbulence-induced local particle density inhomogeneities. • nq (flux-averaged axial aggregate concentration of size dq [q-mer]) along tube as function of residence time τ q−mer creation q−mer removal dnq (τ ) 2(vdif + vth ) 1 =− Kij ni (τ )nj (τ ) −nq (τ ) Kiq ni (τ ) . nq (τ ) + dτ R 2 i+j=q i diffusion and thermophoresis agglomeration
  • 7. Time-Scales and Approximations Institute for Environment and Sustainability 103 s, τth • Time-scales for each process: τagg 2s, τdif 30s and 2s. τconv 1.4 × 108 Simulation q Outlet measurement q q q Residence time for 1.18 × 108 q a 6.5m long transfer tube q q N[cm−3] q q q q 9.6 × 107 q q q q q q Final concentration for a q q 6.5m long transfer tube (LAT) q q q Final concentration for a 7.4 × 107 9m long transfer tube (VELA) 0.0 0.5 1.0 1.5 2.0 τ[s] • Effect of the transfer tube length on number concentration: important for experiment reproducibility. • Transfer tube length should be regulated. • Different τagg ∝ 1/N∞ (0) for a light-duty Euro4-5 diesel engine.
  • 8. Langevin Equation Institute for Environment and Sustainability m1 Random kicks from air molecules Brownian motion and nanoparticle diffusion (fluctuation) W Push monomer through air Friction (dissipation) β1 Interaction force F between monomers • 3D system of interacting monomers, each obeying m1¨i = Fi −m1 β1 ri + Wi (t) . ˙ r force friction noise
  • 9. Aggregate Morphologies Institute for Environment and Sustainability
  • 10. Final Remarks Institute for Environment and Sustainability • Exploratory research beneficial to on-site experimental activities (VELA). • Strengthening of JRC scientific reputation by addressing topical issues in diesel-vehicle particulate emissions. • Recommendation for policy makers ⇒ transfer tube length to be regulated. • Debate whether to regulate light/heavy duty emitted diesel particle number distributions in the future ⇒ timeliness of the exploratory research.