Unsteady flow of an Oldroyd-B fluid induced by the impulsive motion of a plate between two side walls perpendicular to the plate

Acta Mechanica

Volumn 198, Issue 1-2, 2008, Pages 21-33

  Fetecau, C ^a,c   Hayat, T ^b   Khan, M ^b  

^a GC UNIVERSITY   (Pakistan)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

^c GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

SHEAR FLOW; SHEAR STRESS; UNSTEADY FLOW; VELOCITY;

EXACT SOLUTION; FOURIER SINE TRANSFORMS; IMPULSIVE MOTION; MATERIAL CONSTANT; OLDROYD-B FLUID; SECOND-GRADE FLUID; SIMILAR SOLUTION; VELOCITY FIELD;

WALL FLOW;

EID: 47249135571     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0522-0     Document Type: Article

References (26)

1. Maxwell J.C. (1866). On the dynamical theory of gases. Phil. Trans. R. Soc. Lond. A 157: 26-78
2. Rajagopal K.R. and Srinivasa A. (2000). A thermodynamic framework for rate type fluid models. J. Non-Newtonian Fluid Mech. 88: 207-228
3. Oldroyd J.G. (1950). On the formulation of rheological equations of state. Proc. Roy. Soc. Lond. A 200: 523-571
4. Rajagopal K.R. and Bhatnagar R.K. (1995). Exact solutions for some simple flows of an Oldroyd-B fluid. Acta Mech. 113: 233-239
5. Wood W.P. (2001). Transient helical flows in pipes of circular and annular cross-section. J. Non-Newtonian Fluid Mech. 100: 115-126
6. Hayat T., Siddiqui A.M. and Asghar S. (2001). Some simple flows of an Oldroyd-B fluid. Int. J. Engng. Sci. 39: 135-147
7. Fetecau C. (2002). The Rayleigh-Stokes problem for an edge in an Oldroyd-B fluid. C. R. Acad. Sci. Paris, Ser. I 335: 979-984
8. Fetecau C. and Fetecau Corina (2003). The first problem of Stokes for an Oldroyd-B fluid. Int. J. Non-Linear Mech. 38: 1539-1544
9. Fetecau C. (2004). Analytical solutions for non-Newtonian fluid flows in pipe-like domains. Int. J. Non-Linear Mech. 39: 225-231
10. Chen C.I., Chen C.K. and Yang Y.T. (2004). Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions. Heat Mass Transfer 40: 203-209
11. Tan W.C. and Masuoka T. (2005). Stokes first problem for an Oldroyd-B fluid in porous half space. Phys. Fluids 17: 023101-023107
12. Fetecau C. and Fetecau C. (2005). Unsteady flow of Oldroyd-B fluids in a channel of rectangular cross-section. Int. J. Non-Linear Mech. 40: 1214-1219
13. Aksel N., Fetecau C. and Scholle M. (2006). Starting solutions for some unsteady unidirectional flows of Oldroyd-B fluids. ZAMP 57: 815-831
14. Hayat T., Hussain M. and Khan M. (2006). Hall effects on flows of an Oldroyd-B fluid through porous medium for cylindrical geometries. Comput. Math. Appl. 52: 269-282
15. Hayat T., Khan M. and Ayub M. (2004). Exact solutions of flow problem of an Oldroyd-B fluid. Appl. Math. Comput. 151: 105-119
16. Fetecau C., Prasad S.C. and Rajagopal K.R. (2007). A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid. Appl. Math. Model. 31: 647-654
17. Hayat T., Khan M., Ayub M. and Siddiqui A.M. (2005). The unsteady Couette flow of a second grade fluid in a layer of porous medium. Arch. Mech. 57: 405-416
18. Khan M., Hayat T. and Asghar S. (2006). Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law. Int. J. Engng. Sci. 44: 333-339
19. Khan M., Maqbool K. and Hayat T. (2006). Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space. Acta Mech. 184: 1-13
20. Srivastava P.N. (1966). Non-steady helical flow of a visco-elastic liquid. Arch. Mech. Stos. 18(2): 145-150
21. Vieru, D., Fetecau, C., Fetecau, C.: Exact solutions for the flow of an Oldroyd-B fluid due to an infinite flat plate. ZAMP (2007) DOI: 10.1007/s00033-007-6133-8
22. Rajagopal K.R. (1995). On boundary conditions for fluids of the differential type. In: Sequiera, A. (eds) Navier-Stokes Equations and Related Non-Linear Problems, pp 273-278. Plenum, New York
23. Sneddon I.N. (1951). Fourier Transforms. McGraw-Hill, New York
24. Sneddon, I.N.: Functional analysis. In: Encyclopedia of Physics, vol. II. Springer, Berlin (1955)
25. Fetecau, C., Hayat, T., Fetecau, C., Ali, N.: Unsteady flow of a second grade fluid between two side walls perpendicular to a plate. Real World Appl. (2007) DOI 10.1016/j.nonrwa.2007.02.014
26. Gradshteyn I.S. and Ryzhik I.M. (1980). Table of Integrals, Series and Products. Academic, New York