Stokes' first problem for a micropolar fluid through state-space approach

Applied Mathematical Modelling

Volumn 33, Issue 2, 2009, Pages 924-936

  Devakar, M ^a   Iyengar, T K V ^a  

^a NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Laplace transform; Micropolar fluid; Numerical inversion; State space technique; Stokes' first problem

Indexed keywords

LAPLACE TRANSFORMS; STATE SPACE METHODS;

FLOW PARAMETERS; ISOTHERMAL CONDITIONS; MICROPOLAR FLUID; MICROPOLAR FLUIDS; MICROROTATION; NUMERICAL APPROACHES; NUMERICAL INVERSION; STATE-SPACE TECHNIQUE; STOKES' FIRST PROBLEM; STOKES' FIRST PROBLEMS;

PROBLEM SOLVING;

EID: 54049121091     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.12.016     Document Type: Article

References (21)

1. Eringen A.C. Theory of micropolar fluids. J. Math. Mech. 16 (1966) 1-18
2. Stokes V.K. Theories of Fluids with Microstructure (1984), Springer, New York
3. Lukaszewicz G. Micropolar Fluids: Theory and Applications (1999), Birkhauser
4. Schlichting H., and Gersten K. Boundary Layer Theory. eight ed. (2000), Springer, Berlin
5. Tanner R. Notes on the Rayleigh parallel problem for a viscoelastic fluid. ZAMP 13 (1962) 573-580
6. Preziosi L., and Joseph D.D. Stokes first problem for viscoelastic fluids. J. Non-Newton. Fluid Mech. 25 (1987) 239-259
7. Phan-Thien N., and Chew Y.T. On the Rayleigh problem for a viscoelastic fluid. J. Non-Newton. Fluid Mech. 28 (1988) 117-127
8. Fetecau C., and Fetecau C. The Rayleigh-Stokes problem for heated second grade fluids. Int. J. Non- Linear Mech. 37 (2002) 1011-1015
9. Jordan P.M., and Puri P. Stokes' first problem for a Rivlin-Ericksen fluid of second grade in a porous half-space. Int. J. Non-Linear Mech. 38 (2003) 1019-1025
10. 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
11. Fetecau C., and Zierep J. The Rayleigh-Stokes-problem for a Maxwell fluid. ZAMP 54 (2003) 1086-1093
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. Jordan P.M., Puri A., and Boros G. On a new exact solution to Stokes' first problem for Maxwell fluids. Int. J. Non-Linear Mech. 39 (2004) 1371-1377
14. Tan W., and Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phy. Fluids 17 (2005) 023101-023107
15. Tan W., and Masuoka T. Stokes' first problem for a second grade fluid in a porous half-space with heated boundary. Int. J. Non-Linear Mech. 40 (2005) 515-522
16. Fetecau C., Sharat C., and Rajagopal K.R. A note on the flow induced by a constantly accelerated plate in an Oldroyd-B fluid. App. Math. Mode. 31 (2007) 647-654
17. Helmy K.A., Idriss H.F., and Kassem S.E. MHD free convection flow of a micropolar fluid past a vertical porous plate. Can. J. Phys. 80 (2002) 1661-1673
18. Cowin S.C., and Pennigton C.J. On the steady rotational motion of polar fluids. Rheol. Acta 9 (1970) 307-312
19. Cowin S.C. The theory of polar fluids. Adv. Appl. Mech. 14 (1974) 310-312 and 329
20. Ogatta K. State Space Analysis of Control Systems (1967), Prenice-Hall, Inc., Englewood Cliffs, NJ
21. Honig G., and Hirdes U. A method for the numerical inversion of Laplace transforms. J. Comp. Appl. Math. 10 (1984) 113-132