An Introduction to Modeling and Simulation of Particulate Flows Part 7 docx

... field vectors are (left) perpendicular to the plane of incidence and (right) parallel to the plane of incidence (Zohdi [218]). 9.2.4 Reflection and absorption of energy Now we consider a plane harmonic ... very dilute gases and, in the limit, in a vacuum. For general overviews pertaining to scattering, see Bohren and Huffman [33] and van de Hulst [195]. Remark. An applica...

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... models X Y Z X Y Z X Y Z X Y Z Figure 7. 13. Top to bottom and leftto right, a charged cloud against animmovable obstacle. 05 book 20 07/ 5/15 page 70 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 70 Chapter 7. Advanced particulate flow models XY Z XY Z XY Z XY Z Figure ... where z rK def =  rK TOL r and z θK def =  θK TOL θ , (7. 37) 05 book 20 07/ 5/15 page 66 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 66 Chapter 7. Advanced par...

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... fluid. 81 05 book 20 07/ 5/15 page 80 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 80 Chapter 7. Advanced particulate flow models X Y Z X Y Z X Y Z X Y Z Figure 7. 17. Top to bottom and left to right, fast impact of charged clouds. ... 0 .7 0.8 0.9 1 TOTAL FORCE (N) TIME TOTAL X NORMAL FORCE TOTAL Y NORMAL FORCE TOTAL Z NORMAL FORCE TOTAL X TANGENTIAL FORCE TOTAL Y TANGENTIAL FORCE TOTAL Z TANGENTIAL FORCE Fig...

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... 1 27 518.809 504.222 489.635 475 .048 460.46 445. 873 431.286 416.698 402.111 3 87. 524 372 .936 358.349 343 .76 2 329. 175 314.5 87 518.809 504.222 489.635 475 .048 460.46 445. 873 431.286 416.698 402.111 3 87. 524 372 .936 358.349 343 .76 2 329. 175 314.5 87 518.809 504.222 489.635 475 .048 460.46 445. 873 431.286 416.698 402.111 3 87. 524 372 .936 358.349 343 .76 2 329. 175...

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... see Fuster [72 ], Shah [ 174 ], van der Wal and Becker [1 97] , Chyu and Shah [46], and Libby [134], [135], Libby et al. [136], Libby and Aikawa [1 37] , Richardson et al. [169], Loree et al. [141], and Davies ... Kahn and Hackett [1 17] , [118], and Zohdi and Szeri [222]. Clearly, the number of applications in the biological sciences is enormous and growing. More general...

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... coupling. Journal of Fluid Mechanics, Vol. 429, 23–61. [61] Duran, J. 19 97. Sands, Powders and Grains. An Introduction to the Physics of Gran- ular Matter. Springer-Verlag. [62] Eber, S. and Lux, S. ... L., and Makse, H. 2005. Fluctuations and the effective moduli of an isotropic, random aggregate of identical, frictionless spheres. The Journal of Mechanics and Ph...

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