Taylor-couette flow of an oldroyd-B fluid in a circular cylinder subject to a time-dependent rotation

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

Volumn 52, Issue 2, 2009, Pages 117-128

  Fetecau, C ^a   Awan, A U ^b   Fetecau, Corina ^a  

^a GC UNIVERSITY   (Pakistan)

^b GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Oldroyd B fluid; Shear stress; Taylor Couette flow; Velocity field

Indexed keywords

EID: 77949427345     PISSN: 12203874     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. G. G. STOKES, On the Effect of the Rotation of Cylinders and Spheres About Their Axis in increasing the Logarithmic Decrement of the Arc of Vibration, Cambridge University Press, Cambridge, 1886.
2. G.I. TAYLOR, Stability of a viscous liquid contained between two rotating cylinders, Phil. Trans. A 223 (1923) 289-298.
3. G. K. BATCHELOR, An Introduction to Fluid dynamics, Cambridge University Press, Cambridge, 1967.
4. T. W. TING, Certain non-steady flows of second-order fluids, Arch. Rational Mech. Anal. 14 (1963) 1-23.
5. P. N. SRIVASTAVA, Non-steady helical flow of a viscoelastic liquid, Arch. Mech. Stos. 18 (1966) 145-150.
6. N. D. WATERS, M. J. KING, The unsteady flow of an elastico-viscous liquid in a straight pipe of circular cross section, J. Phys. D: Appl. Phys. 4 (1971) 204-211.
7. C. FETECAU, CORINA FETECAU, On the uniqueness of some helical flows of a second grade fluid, Acta Mech. 57 (1985) 247-252. (Pubitemid 16504086)
8. K. D. RAHAMAN, H. RAMKISSON, Unsteady axial viscoelastic pipe flows, J. Non-Newtonian Fluid Mech. 57 (1995) 27-38.
9. W. P. WOOD, Transient viscoelastic helical flows in pipes of circular and annular cross-section J. Non-Newtonian Fluid Mech. 100 (2001) 115-126. (Pubitemid 32949221)
10. C. FETECAU, Analytical solutions for non-Newtonian fluid flows in pipe-like domains, Int. J. Non-Linear Mech. 39 (2004) 225-231.
11. W. AKHTAR, M. NAZAR, Exact solutions for the rotational flow of generalized Maxwell fluids in a circular cylinder, Bull. Math. Soc. Math. Roumanie 51 (2008) 93-101.
12. T. HAYAT, M. KHAN, M. AYUB, Some analytical solutions for second grade fluid flows for cylindrical geometries, Math. Comput. Model. 43 (2006) 16-29.
13. T. HAYAT, M. KHAN, T. WANG, Non-Newtonian flow between concentric cylinders, Commun. Nonlinear Sei. Numer. Simul. 11 (2006) 297-305.
14. C. FETECAU, CORINA FETECAU, D. VIERU, On some helical flows of Oldroyd-B fluids, Acta Mech. 189 (2007) 53-63.
15. R. BANDELLI, K. R. RAJAGOPAL, Start-up flows of second grade fluids in domains with one finite dimension, Int. J. Non-Linear Mech. 30 (1995) 817-839.
16. D. TONG, Y. LIU, Exact solutions for the unsteady rotational flow of nonNewtonian fluid in an annular pipe, Int. J. Eng. Sci. 43 (2005) 281-289. (Pubitemid 40302932)
17. D. ToNG, W. RUIHE, Y. HESHAN, Exact solutions for the flow of nonNewtonian fluid with fractional derivative in an annular pipe, Science in China Ser. G: Physics, Mechanics Astronomy 48 (2005) 485-495. (Pubitemid 43322601)
18. W. AKHTAR, M. NAZAR, On the helical flow of Newtonian fluids induced by time dependent shear stress, Proceedings of the Tenth International Conference Zaragoza-Pau on Applied Mathematics and Statistics Jaca, September 15-17, 2008, Spain.
19. I. SIDDIQUE, Exact solution of some helical flows of Newtonian fluids, Proceedings of World Academy of Science, Engineering and Technology, Vol. 33, September 2008, pp. 664-667, ISSN 2070-3740.
20. R. BANDELLI, K. R. RAJAGOPAL, G. P. GALDI, On some unsteady motions of fluids of second grade, Arch. Mech. 47 (1995) 661-676.
21. L. DEBNATH, D. BHATTA, Integral Transforms and their Applications (second ed.), Chapman and Hall/CRC Press, Boca-Raton-London-New York, 2007.