A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid

Applied Mathematical Modelling

Volumn 31, Issue 4, 2007, Pages 647-654

  Fetecau, C ^a   Prasad, Sharat C ^a   Rajagopal, K R ^a  

^a Texas AandM University   (United States)

Author keywords

Constantly accelerating plate; Exact solution; Oldroyd B fluid

Indexed keywords

ACCELERATION; FOURIER TRANSFORMS; NAVIER STOKES EQUATIONS; OSCILLATIONS; PLATES (STRUCTURAL COMPONENTS); STRESSES; VELOCITY;

EXACT SOLUTION; OLDROYD-B FLUID; TANGENTIAL STRESS; VELOCITY FIELD;

COMPUTATIONAL FLUID DYNAMICS;

ACCELERATION; COMPUTATIONAL FLUID DYNAMICS; FOURIER TRANSFORMS; NAVIER STOKES EQUATIONS; OSCILLATIONS; PLATES (STRUCTURAL COMPONENTS); STRESSES; VELOCITY;

EID: 33751189628     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.11.032     Document Type: Article

References (18)

1. Maxwell J.C. On the dynamical theory of gases. Philos. Trans. R. Soc. London A 157 (1866) 26-78
2. Rajagopal K.R., and Srinivasa A.R. A Thermodynamical frame-work for rate type fluid models. J. Non-Newtonian Fluid Mech. 88 (2000) 207-227
3. Oldroyd J.G. On the formulation of rheological equations of state. Proc. R. Soc. London Ser. A 200 (1950) 523-541
4. Frohlick H., and Sack R. Theory of rheological properties of dispersions. Proc. R. Soc. London Ser. A 185 (1946) 415-430
5. Burgers J.M. First Report on Viscosity and Plasticity (1935), Royal Netherlands Academy of Sciences, Amsterdam (Chapter 1)
6. Böhme G. Strömungsmechanik nicht-newtonscher fluide (2000), B.G. Teubner, Stuttgart, Leipzig, Wiesbaden
7. Fetecau C., and Fetecau C. Flow induced by a constantly accelerating plate in a Maxwell fluid. Bull. Acad. Stiinte Repub. Mold. Mat. 2 45 (2004) 55-61
8. Fetecau C., and Zierep J. On a class of exact solutions of the equations of motion of a second grade fluid. Acta Mech. 150 (2001) 135-138
9. Waters N.D., and King M.J. Unsteady flows of an elastico-viscous liquid in a straight pipe of circular cross-section. J. Phys. D: Appl. Phys. 4 (1971) 204-211
10. Akyildiz F.T., and Jones R.S. The generation of steady flow in a rectangular duct. Rheolog. Acta 32 (1993) 499-504
11. Rahaman K.D., and Ramkissoon H. Unsteady axial viscoelastic pipe flows. J. Non-Newtonian Fluid Mech. 57 (1995) 27-38
12. Wood W.P. Transient viscoelastic helical flows in pipes of circular and annular cross-section. J. Non-Newtonian Fluid Mech. 100 (2001) 115-126
13. Bandelli R., Rajagopal K.R., and Galdi G.P. On some unsteady motions of fluids of second grade. Arch. Mech. 47 4 (1995) 661-676
14. R. Bandelli, Unsteady flows of Non-Newtonian fluids, Ph.D thesis, University of Pittsburgh, Pittsburgh, 1995.
15. Rajagopal K.R. Mechanics of non-Newtonian fluids. In: Galdi G.P., and Nečas J. (Eds). Recent Developments in Theoretical Fluids Mechanics, Pitman Research Notes in Mathematics vol. 291 (1993), Longman, New York 129-162
16. Bandelli R., and Rajagopal K.R. Start-up flows of second grade fluids in domains with one finite dimension. Int. J. Non-Linear Mech. 30 (1995) 817-839
17. Erdogan M.E. On unsteady motions of a second-order fluid over a plane wall. Int. J. Non-Linear Mech. 38 (2003) 1045-1051
18. Sneddon I.N. Fourier Transforms (1951), McGraw-Hill Book Company, Inc., New York, Toronto, London