Numerical results for the conservation of energy of Maxwell media for the Rayleigh-Stokes problem

International Journal of Non-Linear Mechanics

Volumn 44, Issue 8, 2009, Pages 862-864

  Zierep, J ^a   Bohning, R ^a   Fetecau, C ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Boundary layer thickness; Dissipation; Maxwell fluid; Power of the shear stresses at the wall; Rayleigh Stokes problem

Indexed keywords

BOUNDARY LAYER THICKNESS; DISSIPATION; MAXWELL FLUID; POWER OF THE SHEAR STRESSES AT THE WALL; RAYLEIGH-STOKES PROBLEM;

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FLUIDS; SHEAR STRESS; STRENGTH OF MATERIALS;

MAXWELL EQUATIONS;

EID: 68149100799     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2009.06.005     Document Type: Article

References (14)

1. K.R. Rajagopal, Mechanics of non-Newtonian fluids, in: Recent Developments in Theoretical Fluid Mechanics, Pitman Research Notes in Mathematics, vol. 291, Longman, New York, 1993, pp. 129-162.
2. Maxwell J.C. On the dynamical theory of gases. Philos. Trans. R. Soc. London A 157 (1866) 26-78
3. Rajagopal K.R., and Srinivasa A.R. A thermodynamical frame-work for rate type models. J. Non-Newton Fluid Mech. 88 (2000) 207-227
4. Schlichting H. Boundary Layer Theory (1968), McGraw-Hill, New York
5. Stokes G.G. On the effect of the internal friction of fluids on the motion of pendulum. Cambridge Philos. Trans. 9 (1854) 8-106
6. Soundalgekar V.M. Stokes problem for elastico-viscous fluid. Rheol. Acta 13 (1974) 177-179
7. Teipel I. The impulsive motion of a flat plate in a visco-elastic fluid. Acta Mech 39 (1981) 277-279
8. Puri P. Impulsive motion of a flat plate in a Rivlin-Ericksen fluid. Rheol. Acta 23 (1984) 451-453
9. Bandelli R., Rajagopal K.R., and Galdi G.P. On some unsteady motions of fluids of second grade. Arch. Mech. 47 (1995) 661-676
10. 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
11. Fetecau C., and Fetecau C. A new exact solution for the flow of a Maxwell fluid past an infinite plate. Int. J. Non-Linear Mech. 38 (2003) 423-427
12. Fetecau C., and Fetecau C. The first problem of Stokes for an Oldroyd-B fluid. Int. J. Non-Linear Mech. 38 (2003) 1539-1544
13. Zierep J., and Fetecau C. Energetic balance for the Rayleigh-Stokes problem of a Maxwell fluid. Int. J. Eng. Sci. 45 (2007) 617-627
14. Böhme G. Strömungsmechanik nicht-newtonscher Fluide. second ed. (2000), B.G. Teubner, Stuttgart