Exact Solutions to Rotating Flows of a Burgers' Fluid

Computers and Mathematics with Applications

Volumn 52, Issue 10-11, 2006, Pages 1413-1424

  Hayat, T ^a,b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Analytic solution; Burgers' fluid; Magnetohydrodynamic (MHD) analysis; Modeling; Rotating frame

Indexed keywords

INCOMPRESSIBLE FLOW; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS;

ANALYTIC SOLUTION; BURGERS' FLUID; HYDROMAGNETIC SOLUTION; MAGNETOHYDRODYNAMIC (MHD) ANALYSIS; ROTATING FRAMES;

ROTATIONAL FLOW;

EID: 33846859764     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.08.027     Document Type: Article

References (33)

1. Bird R.B., Armstrong R.C., and Hassager O. Dynamics of Polymer Liquids, Volumes 1 & 2 (1987), John Wiley, New York
2. Rajagopal K.R., and Srinivasa A.R. A thermodynamic frame work for rate type fluid models. J. Non- Newtonian Fluid Mech. 88 (2000) 207
3. Rajagopal K.R. A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Linear Mech. 17 (1982) 369
4. Rajagopal K.R., and Gupta A.S. An exact solution for the flow of a non-Newtonian fluid past an infinite plate. Meccanica 19 (1984) 158
5. Hayat T., Wang Y., and Hutter K. Hall effects on the unsteady hydromagnetic oscillatory flow of a second grade fluid. Int. J. Non-Linear Mech. 39 (2004) 1027
6. Rajagopal K.R. On the creeping flow of the second grade fluid. J. Non-Newtonian Fluid Mech. 15 (1984) 239
7. Bandelli R., and Rajagopal K.R. Start-up flows of second grade fluids in domains with one finite dimension. Int. J. Non-Linear Mech. 50 (1995) 817
8. Tan W.C., and Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluid 17 (2005) 023101
9. Chen C.I., Chen C.K., and Yang Y.T. Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions. Heat and Mass Tranfer 40 (2004) 203
10. Fetecau C. Analytical solutions for non-Newtonian fluid flows in pipe like domains. Int. J. Non-Linear Mech. 39 (2004) 225
11. Hayat T., Khan M., and Ayub M. Exact solutions of flow problems of an Oldroyd-B fluid. Appl. Math. Computation 151 (2004) 105
12. Rajagopal K.R. On boundary conditions for fluids of the differential type. In: Sequira A. (Ed). Navier-Stokes Equations and Related Non-Linear Problems (1995), Plenum Press, New York 273
13. Rajagopal K.R., and Kaloni P.N. Some remarks on boundary conditions for fluids of the differential type. In: Graham G.A.C., and Malik S.K. (Eds). Continuum Mechanics and its Applications (1989), Hemisphere, New York 935
14. Mansutti D., Pontrelli G., and Rajagopal K.R. Steady flows of non-Newtonian fluids past a porous plate with suction or injection. Int. J. Numer. Meth. Fluids 17 (1993) 921
15. Krishnan J.M., and Rajagopal K.R. Thermodynamic framework for the constitutive modeling of asphalt concrete: Theory and application. J. Mater. Civil Eng. 16 (2004) 155
16. Krishnan J.M., and Rajagopal K.R. Review of the uses and modeling of bitumen from ancient to modern times. Appl. Mech. Rev. 56 (2003) 149
17. Ravindran P., Krishnan J.M., and Rajagopal K.R. A note on the flow of a Burgers' fluid in an orthogonal rheometer. Int. J. Eng. Sci. 42 (2004) 1973
18. Majidzadeh K., and Schweyer H.E. Viscoelastic response of asphalts in the vicinity of the glass transition point. Assoc. Asphalt Paving Technol. Proc. 36 (1967) 80
19. A.H. Gerritsen, C.A.P.M. van Grup, J.P.J. van der Heide, A.A.A. Molenaar and A.C. Pronk, Prediction and prevention of surface cracking in asphaltic pavements, In Proceedings of the Sixth International Conference, Structural Design of Asphalt Pavements, Volume 1, University of Michigan, (1987).
20. Tovar C.A., Cerdeirina C.A., Romani L., Prieto B., and Carballo J. Viscoelastic behavior of Arzua-Ulloa cheese. J. Texture Stud. 34 (2003) 115
21. Wang M.C., and Lee K.Y. Creep behavior of cement stabilized soils. Highway Research Record 442 (1973) 58
22. Chopra P.N. High-temperature transient creep in olivine rocks. Tectonophysics 279 (1997) 93
23. Tan B.H., Jackson I., and Gerald J.D.F. High-temperature viscoelasticity of fine-grained polycrystalline olivine. Phys. Chem. Miner. 28 (2001) 641
24. Peltier W.R., Wu P., and Yuen D.A. The viscosities of the earth mantle. In: Stacey F.D., Paterson M.S., and Nicholas A. (Eds). Anelasticity in the Earth (1981), American Geophysical Union, Colorado
25. Yuen D.A., and Peltier W.R. Normal modes of the viscoelastic earth. Geophys. J. Royal Astronom. Earth 69 (1982) 495
26. Muller G. Generalized Maxwell bodies and estimates of mantle viscosity. Geophys. J. R. Astronom. Soc. 87 (1986) 1113
27. Rumpker G., and Wolf D. Viscoelastic relaxation of a Burgers half-space: Implications for the interpretation of the Fennoscandian uplift. Geophys. J. Int. 124 (1996) 541
28. Dieke R.H. Internal rotation of the sun. In: Goldberg L. (Ed). Annual Reviews of Astronomy and Astrophysics, Volume 8 (1970), Annual Reviews Inc. 297
29. Debnath L. On unsteady magnetohydrodynamic boundary layers in a rotating flow. Z. Angew. Math. Mech. (ZAMM) 52 (1972) 623
30. Hide R., and Roberts P.H. The origin of the mean geometric field. Physics and Chemistry of the Earth, Volume 4 (1961), Pergamon press, New York 27
31. Cramer K.R., and Pai S.I. Magnetofluid Dynamics for Engineers and Applied Physicists (1973), McGraw-Hill, New York
32. Hayat T., Asghar S., and Siddiqui A.M. Periodic flows of a non-Newtonian fluid. Acta Mech. 131 (1998) 169
33. Hayat T., Hutter K., Asghar S., and Siddiqui A.M. MHD flows of an Oldroyd-B fluid. Math. Computer Modeling 36 (2002) 987