NH3-SCR activity of H-BEA and Fe-BEA after potassium exposure Soran Shwan a,* b a a , Jonas Jansson , Louise Olsson and Magnus Skoglundh a Competence Centre for Catalysis, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden b Volvo Group Trucks Technology, SE-40508, Gothenburg, Sweden * Corresponding author: Soran Shwan Competence Centre for Catalysis and Department of Applied Surface Chemistry Chalmers University of Technology SE-41296 Göteborg, Sweden Telephone: +46 (0)31 772 2943 Email: soran@chalmers.se Supplementary material (S1) Nomenclature list π΄π ππ πππ΅ πβπ¦π π·π,π πΈπ,π πΊππ΄ βπ» ππ,π πΎ ππ ππΊπ,π ππ π βπ Sh π ππ΅π,1 ππ΅π,2 πΉππ,1 πΉππ,2 πΉππ· πΉππ ππ π‘ π£π,π π£π π€π,π π§ Pre-exponential factor for reaction i. Depends on the rate expression Mole fraction at the reaction layer of species k (-) Mole fraction in the gas bulk of species k (-) Hydraulic diameter of the channel (m) Diffusion coefficient of species k in the gas bulk Activation energy for reaction i (J/mol) Geometric surface area per reactor volume (m-1) Enthalpy change (kJ/mol) Mass transfer coefficient of species k (mol/ m2 s) Equilibrium constant (-) Rate constant for reaction i. Depends on the rate expression Molar mass of gas phase species k (kg/kmol) Reaction rate for reaction i (kmol/s m3wash-coat) Gas constant (J/mol K) Entropy change (J/mol K) Sherwood number (-) Weak zeolite adsorption site Brønsted zeolite site, 1 Brønsted zeolite site, 2 Monomeric iron site, 1 Monomeric iron site, 2 Dimeric iron site Iron particle site Temperature at catalyst surface (K) Time (s) Stoichiometric coefficient of species k in reaction i Gas velocity (m/s) Mass fraction of species k in gas phase (-) Spatial coordinate in axial direction (m) Greek letters πΌπ,π ππ ππ ππ Θπ Coverage dependence for species k in reaction i (-) Volume fraction of gas phase in entire system (-) Coverage of species k (-) Density of the gas phase (kmol/ m3) Surface site density of storage site j (mol/ m2) The kinetic model The main governing equation for the gas phase species for a single channel model is [1]: εg ∂ρg β wk,g ∂t = εg ∂ρg β wk,g β vg ∂z + MGk,g ∑nr i vi,k β ri (ck , Ts , θk ) (Eq.1) The coverage of component k on the surface is solved by [1]: ∂θk (Θ ∂t β GSA) = ∑nr i vi,k β ri (ck , Ts , θk ) (Eq.2) The geometric surface area per unit reactor volume, GSA, in Eq. (2) is given by [1]: GSA dhyd = 4 × (cell density) (Eq.3) Furthermore, mass-transport from gas bulk to the catalytic surface and vice versa is included. Under quasi steady-state conditions, the rates of the surface reactions balance the diffusive transport from the gas bulk to the surface. The molar surface concentration (ck) of component k is evaluated using [1], GSA β k k,m β (ck − ckB ) = ∑nr i vi,k β ri (ck , Ts , θk ) (Eq.4) where ckB is the concentration of species k in the gas bulk and k k,m is the mass transfer coefficient of the individual species calculated according to [1]: k k,m = Shβ Dk,g dhyd (Eq. 5) where Dk,g is the diffusion coefficient of species k in the gas mixture and the Sherwood number is calculated according to the Sieder/Tate relationship [2]. Supplementary material (S2) Figure S1. Schematic summary of the active sites and their corresponding reactions in the kinetic deactivation model for Fe-BEA. Table 1:Reactions and rate expressions for NH3 and NO adsorption and desorption (W represents sites for weakly bound ammonia. ZBr and FeM represent Brønsted and monomeric iron sites, respectively) Reaction number Reaction Reaction rate 1 ππ»3 + π ⇔ ππ»3 − π π1 = π1,π πππ»3 ππ−π£πππππ‘ − π1,π πππ»3−π 2 ππ»3 + ππ΅π,1 ⇔ ππ»3 − ππ΅π,1 π2 = π2,π πππ»3 πππ΅π,1−π£πππππ‘ − π2,π πππ»3−ππ΅π,1 3 ππ»3 + ππ΅π,2 ⇔ ππ»3 − ππ΅π,2 π3 = π3,π πππ»3 πππ΅π,2−π£πππππ‘ − π3,π πππ»3−ππ΅π,2 4 ππ»3 + πΉππ,1 ⇔ ππ»3 − πΉππ,1 π4 = π4,π πππ»3 ππΉππ,1−π£πππππ‘ − π4,π πππ»3−πΉππ,1 5 ππ»3 + πΉππ,2 ⇔ ππ»3 − πΉππ,2 π5 = π5,π πππ»3 ππΉππ,2−π£πππππ‘ − π5,π πππ»3−πΉππ,2 ππ»3 − ππ΅π,1 + πΉππ,1 ⇔ ππ΅π,1 + ππ»3 − πΉππ,1 π6 = π6,π πππ»3−ππ΅π,1 ππΉππ,1−π£πππππ‘ − π6,π πππ΅π,1−π£πππππ‘ πππ»3−πΉππ,1 7 ππ + ππ΅π,2 ⇔ ππ − ππ΅π,2 π7 = π7,π πππ πππ΅π,2−π£πππππ‘ − π7,π πππ−ππ΅π,2 8 ππ + πΉππ,2 ⇔ ππ − πΉππ,2 π8 = π8,π πππ ππΉππ,2−π£πππππ‘ − π8,π πππ−πΉππ,2 6a,b a b – Thermodynamically restricted (cf. 3.2.1). – Reaction rate is independent of the corresponding site densities. Table 2:Reactions and rate expressions for NH3 and NO oxidation. Reaction number 9a 10b 11c,e 12d,e Reaction Reaction rate 4ππ»3 + 3π2 ⇒ 2π2 + 6π»2 π π9 = π9 πππ»3 ππ2 4ππ»3 + 3π2 ⇒ 2π2 + 6π»2 π π10 = π10 πππ»3 ππ2 2ππ + π2 ⇔ 2ππ2 2ππ + π2 ⇔ 2ππ2 proceeds over site ππ΅π,2 (Θππ΅π,2 ). π11 = π11,π πππ ππ0.5 − π11,π πππ2 2 π12 = π12,π πππ ππ0.5 − π12,π πππ2 2 – Reaction rate (r9) – Reaction rate (r10) proceeds over site πΉππ· (ΘπΉππ· ) c – Reaction rate (r11) proceeds over site ππ΅π,2 (Θππ΅π,2 ). d – Reaction rate (r12) proceeds over site πΉππ (ΘπΉππ ). e – π11,π and π12,π are calculated from the thermodynamic restrictions (βπ» = 58.3 kJ/mol and βπ = -76.1 J/mol K) [3] a b Table 3:Reactions and rate expressions for NH3-SCR (ZBr and FeM represents Brønsted and monomeric iron sites, respectively). Reaction number Reaction Reaction rate 13 4ππ»3 − ππ΅π,1 + 4ππ − ππ΅π,2 +π2 ⇒ 4π2 + 6π»2 π + 4ππ΅π,1 + 4ππ΅π,2 π13 = π13 ππ2 πππ»3−ππ΅π,1 πππ−ππ΅π,2 14 4ππ»3 − πΉππ,1 + 4ππ − πΉππ,2 +π2 ⇒ 4π2 + 6π»2 π + 4πΉππ,1 + 4πΉππ,2 π14 = π14 ππ2 πππ»3−πΉππ,1 πππ−πΉππ,2 4ππ»3 + 4ππ +π2 ⇒ 4π2 + 6π»2 π π15 = π15 ππ2 πππ»3 πππ 15a a – Reaction rate (r15) proceeds over the dimeric iron sites (ΘπΉππ· ). Table 4:Kinetic parameters for NH3 and NO adsorption and desorption reactions. Rate NH3 adsorption (π1,π ) NH3 desorption (π1,π ) Rate constants π1,π a π1,π a Pre-exponential factor 1.76x102 2.44 x104 Activation energy (kJ/mol) 0 53.23 Coverage dependence(πΌ) 0 0.98 NH3 adsorption (π2,π ) NH3 desorption (π2,π ) π2,π a π2,π a 2.05x102 2.97 x105 0 79.59 0 0.066 NH3 adsorption (π3,π ) NH3 desorption (π3,π ) π3,π a π3,π a 3.4882x104 5.05 x107 0 79.59 0 0.066 NH3 adsorption (π4,π ) NH3 desorption (π4,π ) π4,π a π4,π a 3.29x102 5.01x102 0 72.98 0 0.07 NH3 adsorption (π5,π ) NH3 desorption (π5,π ) π5,π a π5,π a 3.23x103 2.07 x106 0 72.98 0.07 NH3 spillover (π6,π ) π6,π b 2.18x103 65.75 0 NO adsorption (π7,π ) NO desorption (π7,π ) π7,π a π7,π a 7.94x103 6.32 x105 0 105.81 0 NO adsorption (π8,π ) NO desorption (π8,π ) π8,π a π8,π a 2.78x103 7.6 x105 0 65.29 0 a b – Unit: 1/(s m) – Unit: m/(kmol s) Table 5:Kinetic parameters for NH3 and NO oxidation reactions. Rate NH3 oxidation (π9 ) NH3 oxidation (π10 ) Rate constants π9 a π10 a NO oxidation (π11,π ) NO oxidation (π12,π ) a Pre-exponential factor 8.76x106 9.22 x1014 Activation energy (kJ/mol) 83.14 166.14 8.32x103 8.07 x104 π11,π a π12,π a 8.71 20.03 – Unit: 1/(s m) Table 6:Kinetic parameters for the NH3 SCR reactions. Rate Standard SCR, zeolite (π13 ) Standard SCR, monomeric (π14 ) Standard SCR, dimeric (π15 ) a b – Unit: m/(kmol s) – Unit: 1/(s m) Rate constants π13 a π14 a π15 b Pre-exponential factor 4.16x109 2.89x108 2.65 x1015 Activation energy (kJ/mol) 85.7 36.2c 93c c – Parameter fixed from Brandenberger et al. [4] References [1]AVL BOOST Aftertreatment manual, AVL, www.avl.com, 2011. [2]J.R. Welty, C.E. Wicks, R.E. Wilson, G. Rorrer, Fundamentals of Momentum, Heat, and Mass Transfer, John Wiley & Sons, Inc, USA, 2001. [3]A. Lindholm, N.W. Currier, J.H. Li, A. Yezerets, L. Olsson, J. Catal. 258 (2008) 273-288. [4]S. Brandenberger, O. Kröcher, A. Tissler, R. Althoff, Applied Catalysis B: Environmental 95 (2010) 348-357.