References
- Azizi , S. , D. Mowla , and G. Ahmadi . 2012 . Numerical evaluation of turbulence models for dense to dilute gas–solid flows in vertical conveyor . Particuology 10 ( 5 ): 553 – 561 .
- Borisov , A. A. , B. E. Gel'fand , M. S. Natanzon , and O. M. Kossov . 1981 . Droplet breakup regimes and criteria for their existence . Journal of Engineering Physics and Thermophysics 40 ( 1 ): 44 – 49 .
- Brandon , D. J. , and S. K. Aggarwal . 2001 . A numerical investigation of particle deposition on a square cylinder placed in a channel flow . Aerosol Science and Technology 34 ( 4 ): 340 – 352 .
- Cao , J. , G. Ahmadi , and M. Massoudi . 1996 . Gravity granular flows of slightly frictional particles down an inclined bumpy chute . Journal of Fluid Mechanics 316 : 197 – 221 . doi: 10.1017/S002211209600050X .
- Caraghiaur , D. , and H. Anglart . 2006 . Numerical study of deposition rates in annular dispersed flows in non-circular channels with obstacles. Workshop on Modeling and Measurements of Two-Phase Flows and Heat Transfer in Nuclear Fuel Assemblies KTH, Stockholm.
- Chandrasekhar , S. 1943 . Stochastic problems in physics and astronomy . Reviews of Modern Physics 15 ( 1 ): 1 – 89 .
- Clift , R. , J. Grace , and M. E. Weber . 1978 . Bubbles, drops and particles, , 1st ed. New York : Academic Press .
- Crowe , C. T. , M. Sommerfeld , and Y. Tsuji . 1998 . Multiphase flows with droplets and particles, , 1st ed. New York : CRC Press .
- Ehteram , M. A. , H. Basirat Tabrizi , M. Mesbah , G. Ahmadi , and M. Aghamirsalim . 2012 . Experimental study on the effect of connecting ducts on demisting cyclone efficiency . Experimental Thermal and Fluid Science 39 ( 1 ): 26 – 36 .
- Gireesha , B. J. , C. S. Bagewadi , and B. C. Prasanna Kumara . 2007 . Flow of unsteady dusty fluid under varying pulsatile pressure gradient in anholonomic co-ordinate system . Electronic Journal of Theoretical Physics 4 ( 14 ): 9 – 16 .
- Gireesha , B. J. , C. S. Bagewadi , and B. C. Prasanna Kumara . 2009 . Pulsatile flow of an unsteady dusty fluid through rectangular channel . Communications in Nonlinear Science and Numerical Simulation 14 ( 5 ): 2103 – 2110 .
- Goss , L. P. , L. D. Estevadeordal , and W. J. Crafton . 2007 . Velocity measurements near walls, cavities, and model surfaces using particle shadow velocimetry (PSV) . In 22nd International Congress on Instrumentation in Aerospace Simulation Facilities , 1 – 8 . IEEE, ICIASF, Pacific Grove, CA.
- Gupta , S. C. 1979 . Unsteady flow of a dusty gas in a channel whose cross-section is an annular sector . Indian Journal of Pure and Applied Mathematics , 10 ( 6 ): 704 – 714 .
- Happel , J. , and H. Brenner . 1983 . Low Reynolds number hydrodynamics, , 1st ed. Dordrecht , the Netherlands : Springer .
- Hinds , W. C. 1999 . Aerosol technology, properties, behavior and measurement of airborne particles, , 2nd ed. New York : John Wiley & Sons .
- Hjelmfelt , A. T. , and L. F. Mockros . 1966 . Motion of discrete particles in a turbulent fluid . Applied Scientific Research 16 ( 1 ): 149 – 161 .
- Horner , S. F. 1965 . Fluid dynamic drag: Practical information on aerodynamic drag and hydrodynamic resistance, , 2nd ed. Midland Park , NJ : Hoerner Fluid Dynamics .
- Jafari , S. , M. Salmanzadeh , M. Rahnama , and G. Ahmadi . 2010 . Investigation of particle dispersion and deposition in a channel with a square cylinder obstruction using the lattice Boltzmann method . Journal of Aerosol Science 41 ( 2 ): 198 – 206 .
- Lancien , P. , Ě. Lajeunesse, . and F. Mětivier . 2007 . Near-wall velocity measurements by particle shadow tracking . Experiments in Fluids 42 ( 6 ): 843 – 846 .
- Langhaar , H. L. 1942 . Steady flow in the transition length of a straight tube . Journal of Applied Mechanics 64 ( 9 ): A55 – A58 .
- Li , A. , and G. Ahmadi . 1992 . Dispersion and deposition of spherical particles from point sources in a turbulent channel flow . Aerosol Science and Technology 16 ( 4 ): 209 – 226 .
- Lim , E. A. , C. F. M. Coimbra , and M. H. Kobayashi . 2005 . Dynamics of suspended particles in eccentrically rotating flows . Journal of Fluid Mechanics 535 : 101 – 110 . doi: 10.1017/S0022112005004908
- Lindken , R. , and W. Merzkirch . 2002 . A novel PIV technique for measurements in multiphase flows and its application to two-phase bubbly flows . Experiment in Fluids 33 ( 6 ): 814 – 825 .
- Loth , E . 2000 , Numerical approaches for motion of dispersed particles, droplets and bubbles . Progress in Energy and Combustion Science 26 ( 3 ): 161 – 223 .
- Loth , E. 2008a . Quasi-steady shape and drag of deformable bubbles and drops . International Journal of Multiphase Flow 34 ( 6 ): 523 – 546 .
- Loth , E. 2008b . Review: Lift of a spherical particle subject to vorticity and/or spin . AIAA Journal 46 ( 4 ): 801 – 809 .
- Mansoori , Z. , M. Saffar-Avval , H. Basirat Tabrizi , G. Ahmadi , and S. Lain . 2002 . Thermo-mechanical modeling of turbulent heat transfer in gas–solid flows including particle collisions . International Journal of Fluid Flow 23 ( 6 ): 792 – 806 .
- Martin , G. , E. Loth , and D. Lankford . 2009 . Particle host-cell determination in unstructured grids . Computers & Fluids 38 ( 1 ): 101 – 110 .
- Matsuura , K. , M. Komaki , K. Ueyama , and K. Hironaga . 2004 . Shadow doppler velocimetry with double fiber-array sensors . Experiments in Fluids 36 ( 1 ): 11 – 22 .
- McLaughlin , J. B. 1989 . Aerosol particle deposition in numerically simulated channel flow . Physics of Fluids A: Fluid Dynamics 1 ( 7 ): 1211 – 1224 .
- McLaughlin , J. B. 1991 . Inertial migration of a small sphere in linear shear flows . Journal of Fluid Mechanics 1 : 224 – 261 . doi: 10.1017/S0022112091001751
- Mei , R. 1992 . An approximate expression for the shear lift on a spherical particle at finite Reynolds number . International Journal of Multiphase Flow 18 ( 1 ): 145 – 147 .
- Molaei Najafabadi , M. , H. Basirat Tabrizi , and M. A. Ehteram . 2014 . Experimental and numerical study of mini-riser geometry effect on drops residence time in the developing flow . Experimental Thermal and Fluid Science 55 ( 1 ): 115 – 127 .
- Moshfegh , A. , M. Shams , G. Ahmadi , and R. Ebrahimi . 2010 . A new expression for spherical aerosol drag in slip flow regime . Journal of Aerosol Science 41 ( 4 ): 384 – 400 .
- Muzychka , Y. S. , and M. M. Yovanovich . 2009 . Pressure drop in laminar developing flow in noncircular ducts: A scaling and modeling approach . ASME Journal of Fluids Engineering 131 ( 11 ): 111105-1 – 111105-11 .
- Odeh , R. E. , and J. O. Evans . 1974 . The percentage points of the normal distribution . Applied Statistics 23 ( 2 ): 96 – 97 .
- Ounis , H. , G. Ahmadi , and J. B. McLaughlin . 1991. Dispersion and deposition of Brownian particles from point sources in a simulated turbulent channel flow. Journal of Colloid and Interface Science 147(1):233–250.
- Saffar-Avval , M. , H. Basirat Tabrizi , Z. Mansoori , and P. Ramezani . 2007 . Gas–solid turbulent flow and heat transfer with collision effect in a vertical pipe . International Journal of Thermal Sciences 46 ( 1 ): 67 – 75 .
- Saffman , P. G. 1965 . The lift on a small sphere in a slow shear flow . Journal of Fluid Mechanics 22 ( 2 ): 385 – 400 .
- Sohrabi , M. , and E. Rajaie . 2009 . Simulation of flow and modeling the residence time distribution in a continuous two impinging liquid-liquid streams reactor using the Monte Carlo technique . WIT Transactions on Engineering Sciences 63 ( 1 ): 205 – 214 .
- Sohrabi , M. , and B. Zareikar . 2005 . Modeling of the residence time distribution and application of the continuous two impinging streams reactors in liquid-liquid reactions . Chemical Engineering Technology 28 ( 1 ): 61 – 66 .
- Takemura , F. , and J. Magnaudet . 2003 . The transverse force on a clean or contaminated bubble rising near a vertical wall at moderate Reynolds number . Journal of Fluid Mechanics 495 : 235 – 253 . doi: 10.1017/S0022112003006232
- Uhlenbeck , G. E. , and L. S. Ornstein . 1930 . On the theory of Brownian motion . Physical Review 36 ( 5 ): 823 – 841 .
- Wen , C. Y. , and Y. H. Yu . 1966 . Mechanics of fluidization . Chemical Engineering Progress Symposium Series 62 ( 1 ): 100 – 111 .
- Zhao , Y. , Y. Cheng , C. Wu , Y. Ding , and Y. Jin . 2010 . Eulerian–Lagrangian simulation of distinct clustering phenomena and RTDs in riser and downer . Particuology 8 ( 1 ): 44 – 50 .
- Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/upst.