Genetic programming approach for flow of steady state fluid between two eccentric spheres

Applied Rheology

Volumn 17, Issue 6, 2007, Pages

  El Bakry, Mostafa Y ^a   Radi, Amr ^b  

^a Girls Colleges   (Saudi Arabia)

^b Ain Shams University   (Egypt)

Author keywords

Eccentic spheres; Genetic programming; Steady state motion; Viscoelastic fluid

Indexed keywords

GENETIC PROGRAMMING; SPHERES; STEADY FLOW; TORQUE; VISCOELASTICITY;

EID: 39549092390     PISSN: 14306395     EISSN: None     Source Type: Journal    
DOI: 10.1515/arh-2007-0024     Document Type: Article

References (25)

1. Peysson Y, Aubry T, Moan M: Phenomenological approach of the effective viscosity of hard sphere suspensions in shear-thinning media, Appl. Rheol. 16 (2006) 145-151.
2. Koenigsberg W, Selverian JH: Zone method for representing relaxation characteristics of viscoelastic materials, Appl. Rheol. 15 (2005) 160-171.
3. Anderson PD, Dooly J, Meijer HEH: Viscoelastic effects In multilayer polymer extrusion, Appl. Rheol. 16 (2006)198-205.
4. Edwin CC, Montgomery TS: Creeping Sphereplane squeeze flow to determine the zero shear rate viscosity of HDPE melts, Appl. Rheol. 14 (2004) 33-39.
5. Bird RB, Armstrong RC, Hassager O, Curtiss CF: Dynamics of polymeric liquids, Vol. 1: Fluid mechanics, Wiley, New York ed.,(1987) and Vol. 11 Kinetic theory, Wiley (1987).
6. Giesekus HW, Kroner E, Kirchasner K: Trends in application of pure mathematics to mechanics, Lecture notes in physics 244, Springer, Berlin (1986) 331-348.
7. Truesdell C, Noll W: Encyclopedia of physics, Vol. III/3: The Non linear field theories of mechanics, Springer, Berlin, Heidelberg, New York (1965).
8. Wimmer M: Experiments on viscous flow between two rotating concentric spheres, J. Fluid Mech. 78 (1976) 317.
9. Yamajuchi H, Fujiyoshi J, Matsui H: Viscoelastic fluid in spherical Couette flow, Part 1. Experimental study for the inner sphere rotation, J. Non-Newtonian Fluid Mech. 69 (1997) 29.
10. Yamajuchi H, Matsui H: Viscoelastic fluid in spherical Couette flow, Part II Numerical study for the inner sphere rotation, J. Non-Newtonian Fluid Mech. 69 (1997) 47.
11. Yamajuchi H, Nishiguchi B: Spherical Couette flow of aviscoelastic fluid, Part III. A study of outer sphere rotation,J. Non-Newtonian Fluid Mech. 84 (1999) 45.
12. Jeffery GB: On the steady rotation of a solid of revolution in a viscous fluid, Proc. London Math. Soc. 14 (1915) 327.
13. Stimson M,Jeffery GB:The motion of two spheres in a viscous fluid, Proc. Royal Soc. A 3 (1926) 110
14. Majumdar,SR: On the slow motion of viscous liquid in space between two eccentric spheres, J. Phys. Soc. Japan 26 (1969) 827.
15. Munson BR: Viscous incompressible flow between eccentric coaxially rotating spheres, Phys. Fluids 17 (1974) 528.
16. Menguturk M, Munson BR: Experimental results for low reynolds number flow between eccentric rotating spheres, Phys. Fluids, 18 (1975) 28.
17. Abu-El Hasan A, Abdel Wahab M, El-Bakry YM, Zidan M:flow of fluids of grade two between two eccentric rotating spheres, ZAMP 47 (1996) 313.
18. El-Bakry YM: Theoretical investigation as basis for a new rheometer which measure the Non linear mechanical properties of polymeric solutions or melts, Ph.D. thesis, Faculty of Science, Benha, Egypt (1999).
19. Banzhaf W, Nordin P, Keller R, Francone F: Genetic programming - An introduction: On the automatic evolution of computer programs and its applications, Morgan Kaufmann Publishers, San Francisco (1998).
20. Riolo R: Genetic Programming - Theory and Practice, Bill Worzel - Computers, Springer (2003).
21. EI-Bakry MY, Radi A: Genetic programming for hadronic interactions at high energies, Int.J. Mod. Phys. C. 18 (2007) 1-6.
22. Poli R: Genetic programming for feature detection and image segmentation, School of Computer Science, University of Birmingham (1995).
23. Kwan CK., Kauppila WE, Lukaszew RA, Parikh SP, Stein TS, Wan YJ, Dababneh MS: Total cross-section measurements for positrons and electrons scattered by sodium and potassium atoms, Phys. Rev. A 44 (1991)1620.
24. Parikh SP., Kauppila WE, Kwan CK, Lukaszew RA, Przybyla D, Stein TS, Zhou S: Toward measurements of total cross sections for positrons and electrons scattered by potassium and rubidium atoms, Phys. Rev. A 47 (1993) 1535.
25. Baluja KL, Jain A: Positron scattering from rare gases (He, Ne, Ar, Kr, Xe, and Rn): Total cross sections at intermediate and high energies, Phys. Rev. A 46 (1992) 1279.