Development of empirical models with high accuracy for estimation of drag coefficient of flow around a smooth sphere: An evolutionary approach

Powder Technology

Volumn 257, Issue , 2014, Pages 11-19

  Barati, Reza ^a   Neyshabouri, Seyed Ali Akbar Salehi ^a   Ahmadi, Goodarz ^b  

^a TARBIAT MODARES UNIVERSITY   (Iran)

^b Clarkson University   (United States)

Author keywords

Multi gene Genetic Programming; Particle motion; Reynolds number; Sphere drag

Indexed keywords

DRAG; GENES; GENETIC PROGRAMMING; REGRESSION ANALYSIS; REYNOLDS NUMBER; SPHERES;

COEFFICIENT CORRELATIONS; EVOLUTIONARY APPROACH; EXPERIMENTAL VALUES; HIGH REYNOLDS NUMBER; MULTI-GENE GENETIC PROGRAMMING; PARTICLE MOTIONS; PARTICLE TECHNOLOGY; VALIDATION RESULTS;

DRAG COEFFICIENT;

ARTICLE; CORRELATION COEFFICIENT; DRAG COEFFICIENT; FLOW KINETICS; HYDRODYNAMICS; INTERMETHOD COMPARISON; REGRESSION ANALYSIS; STATISTICAL MODEL; STATISTICAL PARAMETERS; VALIDATION PROCESS;

EID: 84895752856     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2014.02.045     Document Type: Article

References (37)

1. Flemmer R.L.C., Banks C.L. On the drag coefficient of a sphere. Powder Technol. 1986, 48:217-221.
2. Kreith F. Mechanical Engineering Handbook 1999, CRC Press LLC.
3. Munson B.R., Young D.F., Okiishi T.H., Huebsch W.W. Fundamentals of Fluid Mechanics 2009, John Wiley & Sons, Inc., New York.
4. Potter M.C., Wiggert D.C., Ramadan B.H. Mechanics of Fluids, SI Version 2011, Cengage Learning.
5. Brown P.P., Lawler D.F. Sphere drag and settling velocity revisited. J. Environ. Eng. 2003, 129:222-231.
6. Cheng N.S. Comparison of formulas for drag coefficient and settling velocity of spherical particles. Powder Technol. 2009, 189:395-398.
7. Mikhailov M.D., Freire A.P. The drag coefficient of a sphere: an approximation using Shanks transform. Powder Technol. 2013, 237:432-435.
8. Voloshuk V.M., Sedunow J.S. The Processes of Coagulation in Dispersed Systems 1971, Nauka, Moscow.
9. Ceylan K., Altunbaş A., Kelbaliyev G. A new model for estimation of drag force in the flow of Newtonian fluids around rigid or deformable particles. Powder Technol. 2001, 119:250-256.
10. Almedeij J. Drag coefficient of flow around a sphere: matching asymptotically the wide trend. Powder Technol. 2008, 186:218-223.
11. Morsi S.A., Alexander A.J. An investigation of particle trajectories in two-phase flow systems. J. Fluid Mech. 1972, 55:193-208.
12. Rubey W.W. Settling velocity of gravel, sand, and silt particles. Am. J. Sci. 1933, 148:325-338.
13. Engelund F., Hansen E. Monograph on Sediment Transport in Alluvial Streams 1967, Monograpsh Denmark Technical University, Hydraulic Lab, Denmark.
14. Rouse H. Fluid Mechanics for Hydraulic Engineers 1938, Dover, New York, N.Y.
15. Nasrollahi A., Salehi Neyshabouri S.A.A., Ahmadi G., Namin M.M. Numerical simulation of particle saltation process. Part. Sci. Technol. 2008, 26:529-550.
16. Clift R., Grace J.R., Weber M.E. Bubbles, Drops, and Particles 1978, Academic, New York.
17. Clift R., Gauvin W.H. The motion of particles in turbulent gas streams. Proc. Chemeca 1970, 70:14-28.
18. Turton R., Levenspiel O. A short note on the drag correlation for spheres. Powder Technol. 1986, 47:83-86.
19. Haider A., Levenspiel O. Drag coefficient and terminal velocity of spherical and nonspherical particles. Powder Technol. 1989, 58:63-70.
20. Khan A.R., Richardson J.F. The resistance to motion of a solid sphere in a fluid. Chem. Eng. Commun. 1987, 62:135-150.
21. Swamee P.K., Ojha C.S.P. Drag coefficient and fall velocity of nonspherical particles. J. Hydraul. Eng. 1991, 117:660-667.
22. Terfous A., Hazzab A., Ghenaim A. Predicting the drag coefficient and settling velocity of spherical particles. Powder Technol. 2013, 239:12-20.
23. Morrison F.A. An Introduction to Fluid Mechanics 2013, Cambridge University Press, New York.
24. Johari A., Habibagahi G., Ghahramani A. Prediction of soil-water characteristic curve using genetic programming. J. Geotech. Geoenviron. 2006, 132:661-665.
25. Azamathulla H.M., Ghani A.A., Zakaria N.A., Guven A. Genetic programming to predict bridge pier scour. J. Hydraul. Eng. 2009, 136:165-169.
26. Hakimzadeh H., Nourani V., Amini A.B. Genetic programming simulation of dam breach hydrograph and peak outflow discharge. J. Hydrol. Eng. May 18 2013, (Posted ahead of print). 10.1061/(ASCE)HE.1943-5584.0000849.
27. Holland J.H. Adaptation in Natural and Artificial System 1975, University of Michigan Press, Ann Arbor Mich.
28. Koza J.R. Genetic Programming: On the Programming of Computers by Means of Natural Selection 1992, MIT Press, Cambridge, Mass.
29. Hinchliffe M.P., Willis M.J., Hiden H.G., Tham M.T., McKay B., Barton G. Modelling chemical process systems using a multi-gene genetic programming algorithm. Late Breaking Paper, GP'96, Stanford: USA 1996.
30. Hiden H.G. Data-Based Modelling using Genetic Programming 1998, PhD Thesis, Dept. Chemical and Process Engineering, University of Newcastle, UK.
31. Searson D.P. GPTIPS: Genetic Programming & Symbolic Regression for MATLAB, User Guide 2009.
32. Baziar M.H., Jafarian Y., Shahnazari H., Movahed V., Amin Tutunchian M. Prediction of strain energy-based liquefaction resistance of sand-silt mixtures: an evolutionary approach. Comput. Geosci. 2011, 37:1883-1893.
33. Shahnazari H., Tutunchian M.A. Prediction of ultimate bearing capacity of shallow foundations on cohesionless soils: an evolutionary approach. KSCE J. Civ. Eng. 2012, 16:950-957.
34. Barati R. Parameter estimation of nonlinear Muskingum models using Nelder-Mead simplex algorithm. J. Hydrol. Eng. ASCE 2011, 16:946-954.
35. Barati R. Application of Excel Solver for parameter estimation of the nonlinear Muskingum models. KSCE J. Civ. Eng. 2013, 17:1139-1148.
36. Graf W.H. Hydraulics of Sediment Transport 1984, Water Resources Publications, Littleton, Colorado.
37. Yen B.C. Sediment Fall Velocity in Oscillating Flow 1992, University of Virginia, Department of Civil Engineering.