Some analytical solutions for second grade fluid flows for cylindrical geometries

Mathematical and Computer Modelling

Volumn 43, Issue 1-2, 2006, Pages 16-29

  Hayat, T ^a   Khan, M ^a   Ayub, M ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Cylindrical coordinates; Exact solutions; Hydrodynamic fluid; Second grade fluid; Transient flows

Indexed keywords

CYLINDERS (SHAPES); DIFFERENTIAL EQUATIONS; HYDRODYNAMICS; NAVIER STOKES EQUATIONS; VELOCITY MEASUREMENT;

CYLINDRICAL COORDINATES; EXACT SOLUTIONS; HYDRODYNAMIC FLUID; SECOND GRADE FLUID; TRANSIENT FLOWS;

FLOW OF FLUIDS;

EID: 33644523745     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.04.009     Document Type: Article

References (25)

1. J.E. Dunn, and K.R. Rajagopal Fluids of differential type: critical review and thermodynamic analysis Int. J. Engng. Sci. 33 1995 689 729
2. K.R. Rajagopal On the creeping flow of the second grade fluid J. Non-Newtonian Fluid Mech. 15 1984 239 246
3. K.R. Rajagopal, and P.N. Kaloni Some remarks on boundary conditions for flows of fluids of the differential type Cont. Mech. and its Applications 1989 Hemisphere Press New York 935 942
4. K.R. Rajagopal On boundary conditions for fluids of the differential type A. Sequeria Navier-Stokes Equations and Related Nonlinear Problems 1995 Plenum Press New York 273 278
5. K.R. Rajagopal A note on unsteady unidirectional flows of a non-Newtonian fluid Int. J. Non-Linear Mech. 17 1982 369 373
6. R. Bandelli, and 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
7. R. Bandelli Unsteady unidirectional flows of second grade fluids in domains with heated boundaries Int. J. Non-Linear Mech. 30 1995 263 269
8. R. Bandelli, K.R. Rajagopal, and C.P. Galdi On some unsteady motions of fluids of second grade Arch. Mech. 47 1995 661 676
9. P. Puri Impulsive motion of a flat plate in a Rivlin-Ericksen fluid Rheol. Acta 23 1984 451 453
10. T.W. Ting Certain nonsteady flows of a second-order fluids Arch. Ration. Mech. Anal. 14 1963 1 26
11. T. Hayat, S. Asghar, and A.M. Siddiqui Periodic unsteady flows of a non-Newtonian fluid Acta Mech. 131 1998 169 175
12. A.M. Siddiqui, T. Hayat, and S. Asghar Periodic flows of a non-Newtonian fluid between two parallel plates Int. J. Non-Linear Mech. 34 1999 895 899
13. T. Hayat, S. Asghar, and A.M. Siddiqui On the moment of a plane disk in a non-Newtonian fluid Acta Mech. 136 1999 125 131
14. T. Hayat, S. Asghar, and A.M. Siddiqui Some non steady flows of a non-Newtonian fluid Int. J. Engng. Sci. 38 2000 337 346
15. T. Hayat, M. Khan, and A.M. Siddiqui Transient flows of a second grade fluid Int. J. Non-Linear Mech. 39 2004 1621 1633
16. E.M. Erdogan A note on an unsteady flow of a viscous fluid due to an oscillating plane wall Int. J. Non-Linear Mech. 35 2000 1 6
17. G.K. Batchelor The skin friction in infinite cylinders moving parallel to their length Quart. J. Mech. Appl. Math. 7 1954 179 192
18. W. Müller Zum Problem der Anlaufströmung einer Flüssigkeit im geraden Rohr mit kreisring und Kreisquerschnitt Z. Angew. Math. Mech. (ZAMM) 16 1936 227 238
19. R.S. Nanda Unsteady circulatory flow about a cylinder with suction Appl. Sci. Res. 9A 1960 85 92
20. P. Szymanski Qulques solutions exactes des equations de l'hydrodynamique de fluide visqueux dans le cas d'un tube cylindrique J. Math. Pures Appl. 9 1932 67 107
21. E.M. Erdogan On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient Int. J. Non-Linear Mech. 37 2002 1091 1106
22. E.M. Erdogan On unsteady motions of a second-order fluid over a plane wall Int. J. Non-Linear Mech. 39 2004 1379 1384
23. E.M. Erdogan On the flows produced by sudden application of a constant pressure gradient or by impulsive motion of a boundary Int. J. Non-Linear Mech. 38 2003 781 797
24. J.E. Dunn, and R.L. Fosdick Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade Arch. Ration. Mech. Anal. 56 1974 191 252
25. R. Bandelli, Unsteady flows on non-Newtonian fluids, Ph.D. Dissertation, University of Pittsburgh, 1995