Konstantin Volkov's Aerosols: Science and Case Studies PDF

By Konstantin Volkov

ISBN-10: 9535128442

ISBN-13: 9789535128441

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Dmk 1 = dt 2 NQ NQ åå éêë( v + v ) i i =1 i =1 j k ( ) ù - vi k - v j k ú b vi , v j wi w j û (11) To implement the QMOM, the quadrature abscissas and weights are obtained from lower‐ order radial moment sequence by solving Eq. (11). During the implementation, the key task is to construct a symmetric tridiagonal matrix whose diagonal elements and off-diagonal elements are derived from the calculated moments. The symmetric tridiagonal matrix is diagonalized to obtain the abscissas and weights. It needs to note here that the number of abscissas and weights are dependent on NQ.

To implement the TEMOM, we need to substitute Eq. (5) in Eq. (3) and then multiply vk on both sides, and we can obtain the following expression, where ( ( ) 1 ö æ 1 b v, v' = B2 ç f + ' f ÷ v f + v ' f v ø èv + B2y vp0 ì ï dm0 = - B2 ï dt 2 ï ïï í ï ï ï dm2 = - B2 ï dt 2 ïî f- 1 3æ 1 ç 2f èv ) 1 ö + '2 f ÷ (v f + v ' f ), v ø ¥¥ æ 1 ö f3 x ÷ n ( v, t ) n v ' , t dvdv ' çx +y v 1 2 p0 ç ÷ ø 00è dm1 =0 dt ¥¥ æ 1 ö f3 V ÷ n ( v, t ) n v ' , t dvdv ' çV +y v 2 p0 ç 1 ÷ ø 00è (5) ( ) òò ( ) òò x1 = 2 + v f v '- f + v - f v ' f x 2 = v - f + v '- f + v -2 f v ' f + v f v '-2 f (6) 37 38 Aerosols - Science and Case Studies V1 = 4vv '+ 2v1+ f v '1- f + 2v1- f v '1+ f V 2 = 2v1+ f v '1- 2 f + 2v1- 2 f v '1+ f + 2v1- f v '+ 2vv '1- f .

Biomol. , vol. 3, pp. 103–127, 2012. [3] M. Yu, J. Lin, and T. Chan, Effect of precursor loading on non‐spherical TiO2 nanoparticle synthesis in a diffusion flame reactor, Chem. Eng. , vol. 63, no. 9, pp. 2317–2329, 2008. [4] M. Kulmala, Atmospheric science. How particles nucleate and grow, Science, vol. 302, no. 5647, pp. 1000–1001, 2003. [5] K. Savolainen, L. Pylkkänen, H. Norppa, G. Falck, H. Lindberg, T. Tuomi, M. Vippola, H. Alenius, K. Hämeri, J. Koivisto, D. Brouwer, D. Mark, D. Bard, M.

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Aerosols: Science and Case Studies by Konstantin Volkov


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