A numerical investigation of developing flow in an eccentric curved annulus in the presence of gravity

International Journal of Non-Linear Mechanics

Volumn 47, Issue 4, 2012, Pages 108-117

  Nobari, M R H ^a   Mirzaei, M ^a   Hosseinzadeh Nik, Z ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Curved annulus; Eccentric; Finite difference; Froude number; Incompressible flow; Projection method

Indexed keywords

AXIAL VELOCITY; BODY FORCES; CENTRIFUGAL FORCES; CO-ORDINATE SYSTEM; CURVATURE RADII; CURVATURE RATIO; CURVATURE REGIONS; CURVED ANNULUS; DEAN NUMBER; DEVELOPING FLOW; ECCENTRIC; FINITE DIFFERENCE; FLOW RESISTANCE; FRICTION FACTORS; GOVERNING EQUATIONS; INCOMPRESSIBLE VISCOUS FLOWS; NON-DIMENSIONAL PARAMETERS; NUMERICAL INVESTIGATIONS; NUMERICAL RESULTS; PROJECTION ALGORITHMS; PROJECTION METHOD; SECOND ORDERS; STAGGERED GRID;

ASPECT RATIO; CENTRIFUGATION; FLOW FIELDS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER;

FROUDE NUMBER;

EID: 84859928802     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2012.04.001     Document Type: Article

References (43)

1. L.S. Yao, and S.A. Berger Entry flow in a curved pipe Journal of Fluid Mechanics 67 1975 177 196
2. S. Dey Secondary boundary layer and wall shear for fully developed flow in curved pipes Proceedings of the Royal Society of London A 458 2002 283 298
3. K.C. Cheng, and G.J. Hwang Laminar forced convection in eccentric annuli AIChE Journal 14 1968 510 512
4. L. Trombetta Laminar forced convection in eccentric annuli International Journal of Heat and Mass Transfer 14 1971 1161 1173
5. K. Susuki, J.S. Szmyd, and H. Ohtsuka Laminar forced convection heat transfer in eccentric annuli Heat Transfer Japan Research 20 1991 169 183 (Pubitemid 21669659)
6. R.M. Manglik, and P.P. Fang Effect of eccentricity and thermal boundary conditions on laminar fully developed flow in annular ducts International Journal of Heat and Fluid Flow 16 1995 298 306
7. E.E. Feldman, R.W. Hombeck, and J.F. Osterle,Anumerical solution laminar developing flow in eccentric annular ducts International Journal of Heat and Mass Transfer 25 2 1982 231 241
8. C.J. Ho, Y.H. Lin, and T.C. Chen A numerical study of natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions International Journal of Heat and Fluid Flow 10 1 1989 40 47
9. K. Hirose, T. Hachinohe, and Y. Ishii Natural convection heat transfer in eccentric horizontal annuli between a heated outer tube and a cooled inner tube with different orientation: the case of an elliptical outer tube Heat Transfer - Asian Research 30 8 2001 624 635 (Pubitemid 34034538)
10. D. Naylor, H.M. Badr, and J.D. Tarasuk Experimental and numerical study of natural convection between two eccentric tubes International Journal of Heat and Mass Transfer 32 1 1989 171 181
11. P. Sathyamurthy, K.C. Karki, and S.V. Patankar Laminar fully developedmixed convection in a vertical eccentric annulus Numerical Heat Transfer A 22 1 1992 71 85
12. D. Choudhury, and K. Karki Laminar mixed convection in a horizontal eccentric annulus Numerical Heat Transfer A 22 1 1992 87 108
13. M.A.I. El-Shaarawi, H.I. Abualhamayel, and E.M.A. Mokheimer Developing laminar forced convection in eccentric annuli Heat and Mass Transfer 1998 353 362 (Pubitemid 128441517)
14. I.M.A. El-Shaarawi, and A.A.A. Negm Conjugate natural convection heat transfer in an open-ended vertical concentric annulus Numerical Heat Transfer A 36 1999 639 655 (Pubitemid 30512767)
15. I.M.A. El-Shaarawi, E.M.A. Mokheimer, and H.I. Abulhamayel Limiting values for free-convection induced flow rates in vertical eccentric annuli with an isothermal boundary Numerical Heat Transfer A 39 2001 611 630 (Pubitemid 33700811)
16. E.M.A. Mokheimer, and M.A.I. El-Shaarawi Developing mixed convection in vertical eccentric annuli Heat and Mass Transfer 41 2004 176 187 (Pubitemid 40003323)
17. W.R. Dean Note on the motion of fluid in a curved pipe, Phil Magazine 4 1927 208 223
18. W.R. Dean The stream-line motion of fluid in a curved pipe Philosophical Magazine 5 1928 673 695
19. D.J. McConalogue, and R.S. Srivastava Motion of fluid in a curved tube Proceedings of the Royal Society of London A 307 1968 37 53
20. W.M. Collins, and S.C.R. Dennis The steady motion of a viscous fluid in a curved tube Quarterly Journal of Mechanics and Applied Mathematics 28 2 1975 133 156
21. S.C.R. Dennis Calculation of the steady flow through a curved tube using a new finite-difference method Journal of Fluid Mechanics 99 1980 449 467 (Pubitemid 11436225)
22. W.Y. SOH, and S.A. Berger Laminar entrance flow in a curved pipe Journal of Fluid Mechanics 148 1984 109 135 (Pubitemid 15438191)
23. T.J. Pedley The Fluid Mechanics of Large Blood Vessels 1980 Cambridge University Press
24. S.C.R. Dennis, and M. Ng Dual solutions for steady laminar flow through a curved tube Quarterly Journal of Mechanics and Applied Mathematics 35 1982 305 324
25. H. Ito Flow in curved pipes JSME International Journal 30 1987 543 552
26. H.C. Kao Some aspects of bifurcation structure of laminar flow in curved ducts Journal of Fluid Mechanics 243 1992 519 539
27. M.R.H. Nobari, and K. Gharali A numerical study of flow and heat transfer in internally fined rotating straight pipes and stationary curved pipes International Journal of Heat and Mass Transfer 49 2006 1185 1194 (Pubitemid 43267729)
28. H. Ishigaki Fundamental characteristics of laminar flows in a rotating curved pipe Trans. Journal of Software Maintenance and Evolution 59-561-B 1993 1494 1501
29. H. Ishigaki Laminar flow in rotating curved pipes Journal of Fluid Mechanics 329 1996 373 388
30. H. Ishigaki Laminar convective heat transfer in rotating curved pipes JSME International Journal Series B 42 1999 489 497 (Pubitemid 29532630)
31. G.T. Karahalios Mixed convection flow in a heated curved pipe with core Physics of Fluids A 2 12 1990 2164 2175
32. M.A. Petrakis, and G.T. Karahalios Fluid flow behaviour in a curved annular conduit International Journal of Non-Linear Mechanics 34 1999 13 25 (Pubitemid 129540885)
33. G.T. Karahalios Some possible effect of a catheter on the arterial wall Medical Physics 17 1990 922 928
34. M.A. Ebadian Rate of flow in a concentric pipe of circular cross-section Journal of Applied Mechanics ASME 57 1990
35. G. Jayaraman, and K. Tiwari Flow in a catheterised curved artery Medical and Biological Engineering and Computing 33 5 1995 1 6
36. R.K. Dash, G. Jayaraman, and K.N. Mehta Flow in a catheterised curved artery with stenosis Journal of Biomechanics 32 1999 49 61 (Pubitemid 29052414)
37. M.R.H. Nobari, B.R. Ahrabi, and G. Akbari A numerical analysis of developing flow and heat transfer in a curved annular pipe International Journal of Thermal Science 48 2009 1542 1551
38. M.R.H. Nobari, and M.T. Mehrabani A numerical study of fluid flow and heat transfer in eccentric curved annuli International Journal of Thermal Science 49 2010 380 396
39. C.G. Speziale On turbulent secondary flows in pipes of noncircular cross-section, Int Journal of Engineering Science 7 1982 863 872
40. Y.N. Huang, and K.R. Rajagopal On necessary and sufficient conditions for turbulent secondary flows in a straight tube Matematiche Modern Methods Applications Sciences 5 1995 111 123
41. F. Mollica, and K.R. Rajagopal Secondary flows due to axial shearing of a third grade fluid between two eccentrically placed cylinders International Journal Engineering Sciencesi 37 1999 411 429
42. F. Baldoni, R. Gudhe, and K.K. Yeleswarapu Helical flow of a simple fluid between eccentric cylinders International Journal of Non-Linear Mechanics 28 1993 221 235 (Pubitemid 23622515)
43. J.A. Chorin Numerical solution of the Navier-Stokes equations Mathematics and Computation 22 104 1968 745 762