Exact solutions of second grade aligned MHD fluid with prescribed vorticity

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 4, 2009, Pages 2117-2126

  Hayat, T ^a,d   Naeem, I ^a   Ayub, M ^a   Siddiqui, A M ^b   Asghar, S ^c,d   Khalique, C M ^d  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c COMSATS Institute of Information Technology ^*  (Pakistan)

^d NORTH WEST UNIVERSITY   (South Africa)

Author keywords

Analytic solution; MHD aligned flow; Non linear equation; Non Newtonian fluid

Indexed keywords

FLOW MEASUREMENT; FLUID DYNAMICS; FLUIDS; INVERSE PROBLEMS; NEWTONIAN LIQUIDS; NON NEWTONIAN FLOW; RHEOLOGY; VELOCITY MEASUREMENT; VISCOUS FLOW;

ANALYTIC SOLUTION; EXACT SOLUTIONS; INVERSE METHODS; MAGNETO-HYDRODYNAMIC; MHD ALIGNED FLOW; NON-LINEAR EQUATION; NON-NEWTONIAN FLUID; SECOND-GRADE FLUIDS; UNSTEADY EQUATIONS;

LINEAR EQUATIONS;

EID: 61849175324     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.03.018     Document Type: Article

References (15)

1. Tan W.C., and Masuoka T. Stokes problem for a second grade fluid in a porous half space with heated boundary. Internat. J. Non-Linear Mech. 40 (2005) 515-522
2. Shen F., Tan W.C., Zhao Y.Z., and Masuoka T. The Rayleigh Stokes problem for a heated generalized second grade fluid with fractional derivative model. Nonlinear Anal. RWA 7 (2006) 1072-1080
3. Shen F., Tan W.C., Zhao Y.Z., and Masuoka T. Decay of vortex and diffusion of temperature in a generalized second grade fluid. Appl. Math. Mech. 25 (2004) 1151-1159
4. Fetecau C., and Fetecau C. On some axial Couette flows of non-Newtonian fluids. Z. Angew. Math. Phys. 56 (2005) 1098-1106
5. Fetecau C., and Fetecau C. Starting solutions for the motion of second grade fluid due to longitudinal and torsional oscillations of a circular cylinder. Int. J. Eng. Sci. 44 (2006) 788-796
6. Zierep J., and Fetecau C. Energetic balance for the Rayleigh-Stokes problem of a second grade fluid. Int. J. Eng. Sci. 45 (2007) 617-627
7. T. Hayat, T. Javed, M. Sajid, Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface. Phys. Lett. A (in press)
8. Hayat T., Ahmad N., Sajid M., and Asghar S. On the MHD flow of a second grade fluid in a porous channel. Comput. Math. Appl. 54 (2007) 407-414
9. Asghar S., Hanif K., Hayat T., and Khalique C.M. MHD non-Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity. Comm. Nonlinear Sci. Numer. Simulation. 12 (2007) 465-485
10. Erdogan M.E. On unsteady motions of a second order fluid over a plane wall. Int. J. Non-Linear Mech. 38 (2003) 1045-1051
11. Rajagopal K.R. On boundary conditions for fluids of differential type. In: Sequira A. (Ed). Navier-Stokes Equations and Related Non-Linear Problems (1995), Plenum Press, New York 273-278
12. Nemenyi P.F. Recent developments in inverse and semi-inverse methods in the mechanics of continua. Adv. Appl. Mech. 2 (1951) (New York)
13. Benharbit A.M., and Siddiqui A.M. Certain solutions of the planer motion of a second grade fluid for steady and unsteady cases. Acta Mech. 94 (1992) 85-96
14. Chandna O.P., and Oku-Ukpong O. Unsteady second grade aligned MHD fluid flow. Acta Mech. 107 (1994) 7-91
15. Labropulu F. Exact solutions of non-Newtonian fluid flows with prescribed vorticity. Acta Mech. 141 (2000) 11-20