A note on decay of potential vortex in an Oldroyd-B fluid through a porous space

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 4, 2009, Pages 2133-2138

  Husain, M ^a   Hayat, T ^a   Fetecau, C ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Exact solutions; Hankel transform; Modified Darcy's law; Tangential tension

Indexed keywords

COMPUTER SIMULATION; FLUID DYNAMICS; FLUIDS; GROUNDWATER FLOW; MINES; SEEPAGE;

ANALYTICAL EXPRESSIONS; EXACT SOLUTIONS; FLOW PROBLEMS; HANKEL TRANSFORM; LIMITING CASE; MAXWELL FLUIDS; MODIFIED DARCY'S LAW; NEWTONIAN FLUIDS; OLDROYD-B FLUIDS; POROUS SPACES; POTENTIAL VORTICES; TANGENTIAL TENSION; VELOCITY FIELDS;

VORTEX FLOW;

EID: 61749098997     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.03.021     Document Type: Article

References (14)

1. Rajagopal K.R. On boundary conditions for fluids of differential type. Navier-Stokes Equations and Related Nonlinear Problems (1995), Plenum press, New York 273-278
2. Rajagopal K.R., and Bhatnagar R.K. Exact solutions for some simple flows of an Oldroyd-B fluid. Acta Mech. 113 (1995) 233
3. Tan W.C., and Masuoka T. Stokes' first problem for second grade fluid in a porous half space. Int. J. Non-Linear Mech. 40 (2005) 515
4. Tan W.C., and Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluids 17 (2005) 023101
5. Fetecau C., Prasad S.C., and Rajagopal K.R. A note on the flow induced by constantly accelerating plate in Oldroyd-B fluid. Appl. Math. Modelling 31 (2007) 647
6. Fetecau C., and Fetecau C. Decay of a potential vortex in an Oldroyd -B fluid. Int. J. Non-Linear Mech. 43 (2005) 340
7. Hayat T., Hussain M., and Khan M. Hall effect on flows of an Oldroyd-B fluid through porous medium for cylindrical geometries. Comput. Math. Appl. 52 (2006) 269
8. M. Husain, T. Hayat, C. Fetecau, S. Asghar, On accelerated flows of an Oldroyd-B fluid in a porous medium, Nonlinear Anal. RWA, in press (doi:10.1016/j.nonrwa.2007.03.007)
9. Hayat T., Siddiqui A.M., and Asghar S. Some simple flows of an Oldroyd-B fluid. Int. J. Eng. Sci. 39 (2001) 135
10. Hayat T., and Hutter K. Rotating flow of a second order fluid on a porous plate. Int. J. Non-Linear Mech. 39 (2004) 767
11. Frohlick H., and Sack R. Theory of rheological properties of dispersions. Proc. R. Soc. Lond. Ser. A 185 (1946) 415
12. Oldroyd J.G. On the formulation of rheological equations of state. Proc. R. Soc. Lond. Ser. A 200 (1950) 523
13. Rajagopal K.R., and Srinivasa A.R. A thermodynamical frame-work for rate type fluid models. J. Non-Newtonian Fluid Mech. 88 (2000) 207
14. Srivastava P.N. Non-steady helical flow of a visco-elastic liquid. Arch. Mech. Stos. 18 2 (1966) 145