Closed-form exact solutions of MHD viscous flow over a shrinking sheet

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 7, 2009, Pages 2853-2857

  Fang, Tiegang ^a   Zhang, Ji ^a  

^a North Carolina State University   (United States)

Author keywords

Analytical solution; Exact solution; Magnetohydrodynamics; Navier Stokes equations; Shrinking sheet; Similarity solution; Stretching surface

Indexed keywords

MAGNETOHYDRODYNAMICS; SHRINKAGE; VISCOUS FLOW;

ANALYTICAL SOLUTION; CLOSED FORM; CLOSED-FORM EQUATIONS; EXACT SOLUTION; MAGNETOHYDRODYNAMICS FLOWS; NAVIER-STOKES EQUATION; SHRINKING SHEET; SIMILARITY SOLUTION; SOLUTION BEHAVIOR; STRETCHING SURFACE;

NAVIER STOKES EQUATIONS;

EID: 59849091183     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.10.005     Document Type: Article

References (28)

1. Altan T., Oh S., and Gegel H. Metal forming fundamentals and applications (1979), American Society of Metals, Metals Park, OH
2. Fisher E.G. Extrusion of plastics (1976), Wiley, New York
3. Tadmor Z., and Klein I. Engineering principles of plasticating extrusion. Polymer science and engineering series (1970), Van Nostrand Reinhold, New York
4. Sakiadis B.C. Boundary-layer behavior on continuous solid surface: I. Boundary-layer equations for two-dimensional and axisymmetric flow. J AIChe 7 (1961) 26-28
5. Sakiadis B.C. Boundary-layer behavior on continuous solid surface: II. Boundary-layer equations for two-dimensional and axisymmetric flow. J AIChe 7 (1961) 221-225
6. Tsou F.K., Sparrow E.M., and Goldstain R.J. Flow and heat transfer in the boundary-layer on a continuous moving surface. Int J Heat Mass Transfer 10 (1967) 219-235
7. Crane L.J. Flow past a stretching plate. Z Angew Math Phys 21 4 (1970) 645
8. Banks W.H.H. Similarity solutions of the boundary-layer equations for a stretching wall. J Mech Theor Appl 2 (1983) 375-392
9. Dutta B.K., Roy P., and Gupta A.S. Temperature field in flow over a stretching sheet with uniform heat flux. Int Commun Heat Mass Trans 12 (1985) 89-94
10. Grubka L.J., and Bobba K.M. Heat transfer characteristics of a continuous stretching surface with variable temperature. ASME J Heat Transfer 107 (1985) 248-250
11. Chen C.K., and Char M.I. Heat transfer of a continuous stretching surface with suction and blowing. J Math Anal Appl 135 (1988) 568-580
12. Ali M.E. On thermal boundary-layer on a power-law stretched surface with suction or injection. Int J Heat Fluid Flow 16 (1995) 280-290
13. Elbashbeshy E.M.A. Heat transfer over a stretching surface with variable surface heat flux. J Phys D: Appl Phys 31 (1998) 1951-1954
14. Magyari E., and Keller B. Heat and mass transfer in the boundary-layers on an exponentially stretching continuous surface. J Phys D: Appl Phys 32 5 (1999) 577-585
15. Magyari E., and Keller B. Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls. Euro J Mech B: Fluid 19 1 (2000) 109-122
16. Magyari E., Ali M.E., and Keller B. Heat and mass transfer characteristics of the self-similar boundary-layer flows induced by continuous surfaces stretched with rapidly decreasing velocities. Heat Mass Transfer 38 1-2 (2001) 65-74
17. Liao S.J. A new branch of solutions of boundary-layer flows over a stretching flat plate. Int J Heat Mass Transfer 49 12 (2005) 2529-2539
18. Liao S.J. A new branch of solution of boundary-layer flows over a permeable stretching plate. Int J Non-linear Mech 42 (2007) 819-830
19. Wang C.Y. Exact solutions of the steady state Navier-Stokes equations. Ann Rev Fluid Mech 23 (1991) 159-177
20. Miklavcic M., and Wang C.Y. Viscous flow due to a shrinking sheet. Quart Appl Math 64 2 (2006) 283-290
21. Fang T. Boundary layer flow over a shrinking sheet with power-law velocity. Int J Heat Mass Transfer 51 25-26 (2008) 5838-5843
22. Hayat T., Abbas Z., and Sajid M. On the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet. J Appl Mech: Trans ASME 74 6 (2007) 1165-1171
23. Sajid M., Hayat T., and Javed T. MHD rotating flow of a viscous fluid over a shrinking surface. Non-linear Dyn 51 1-2 (2008) 259-265
24. Sajid M., and Hayat T. The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet. Chaos, Soliton Fractals (2007) 10.1016/j.chaos.2007.06.019
25. Chakrabarti A., and Gupta A.S. Hydromagnetic flow and heat transfer over a stretching sheet. Quart Appl Math 37 (1979) 73-78
26. Andersson H.I. An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow. Acta Mech 113 (1995) 241-244
27. Pop I., and Na T.Y. A note on MHD flow over a stretching permeable surface. Mech Res Commun 25 3 (1998) 263-269
28. Liao S.J. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J Fluid Mech 488 (2003) 189-212