Citation: | S.S.Motsa, T.Hayat, O.M.Aldossary. MHD Flow of UCM Fluid Above Porous Stretching Sheet Using the Successive Taylor Series Linearisation Method[J]. Applied Mathematics and Mechanics, 2012, 33(8): 919-932. doi: 10.3879/j.issn.1000-0887.2012.08.002 |
[1] |
Lazurkin J S. Cold-drawing of glass-like and crystalline polymers[J]. Journal of Polymer Science, 1958, 30(121): 595-604.
|
[2] |
Ginzburg B M. On the “cold drawing” of semicrystalline polymers[J]. Journal of Macromolecular Science, Part B, 2005, 44(2): 217-223.
|
[3] |
Casas F, Alba-Simionesco C, Lequeux F, Montes H. Cold drawing of ploymers: plasticity and aging[J]. Journal of Non-Crystal Solids, 2006, 352(42/49): 5076-5080.
|
[4] |
Crane L J. Flow past a stretching plate[J]. Zeitschrift für Angewandte Mathematik und Physik(ZAMP), 1970, 21(4): 645-647.
|
[5] |
Wang C Y. Fluid flow due to stretching cylinder[J]. Physics of Fluids, 1988, 31(3): 466-468.
|
[6] |
Wang C Y. Stretching a surface in a rotating fluid[J]. Zeitschrift für Angewandte Mathematik und Physik(ZAMP), 1988, 39(2): 177-185.
|
[7] |
Gupta P S, Gupta A S. Heat and mass transfer on a stretching sheet with suction or blowing[J]. Canadian Journal of Chemical Engineering, 1977, 55(6): 744-746.
|
[8] |
Dandapat B S, Kitamura A, Santra B. Transient film profile of thin liquid film flow on a stretching surface[J]. Zeitschrift für Angewandte Mathematik und Physik(ZAMP), 2006, 57(4): 623-635.
|
[9] |
Santra B, Dandapat B S. Thin film flow over nonlinear stretching sheet[J]. Zeitschrift für Angewandte Mathematik und Physik(ZAMP), 2009, 60(4): 688-700.
|
[10] |
Chiam T C. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet[J]. Acta Mechanica, 1998, 129(1/2): 63-72.
|
[11] |
Liao S J. A new branch of solutions of boundary layer flows over an impermeable stretched plate[J]. International Journal of Heat and Mass Transfer, 2006, 48(12): 2529-2539.
|
[12] |
Mukhopadhyay S. Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium[J]. International Journal of Heat and Mass Transfer, 2009, 52(13/14): 3261-3265.
|
[13] |
Parsad K V, Pal D, Datti P S. MHD power-law fluid flow and heat transfer over a non-isothermal stretching sheet[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(5): 2178-2189.
|
[14] |
Fang T, Zhong Y. Viscous flow over a stretching sheet with an arbitrary surface velocity[J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15: 3768-3776.
|
[15] |
Ishak A, Nazar R, Pop I. Mixed convection stagnation point flow of a micropolar fluid towards a stretching sheet[J]. Meccanica, 2008, 43(4): 411-418.
|
[16] |
Ishak A. Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect[J]. Meccanica, 2010, 45(3): 367-373.
|
[17] |
Abel M S, Siddheshwar P G, Mahesha N. Numerical solution of the momentum and heat transfer equations for a hydromagnetic flow due to a stretching sheet of a non-uniform property micropolar liquid[J]. Applied Mathematics and Computation, 2011, 217(12): 5895-5909.
|
[18] |
Pahlavan A A, Aliakbar V. Farahani F V, Sadeghy K. MHD flow of UCM fluids above stretching sheet using two-auxiliary-parameter homotopy analysis method[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(2): 473-488.
|
[19] |
Pahlavan A A, Aliakbar V, Sadeghy K. The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheet[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(3): 779-794.
|
[20] |
Hayat T, Abbas Z, Sajid M. MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface[J]. Chaos Solitons and Fractals, 2009, 39(2): 840-848.
|
[21] |
Alizadeh-Pahlavan A, Aliakbar V, Vakili-Farahani F, Sadeghy K. MHD flows of UCM fluids above porous stretching sheets using two-auxiliary-parameter homotopy analysis method[J]. Communications in Nonlinear Science and Numerical Simulations, 2009, 14(2): 473-488.
|
[22] |
Canuto C, Hussaini M Y, Quarteroni A, Zang T A. Spectral Methods in Fluid Dynamics[M]. Berlin: Springer-Verlag, 1988.
|
[23] |
Makukula Z G, Sibanda P, Motsa S S. A novel numerical technique for two-dimensional laminar flow between two moving porous walls[J]. Mathematical Problems in Engineering, 2010, 2010. Article ID 528956, 15 pages; doi: 10.1155/2010/528956.
|
[24] |
Makukula Z G, Sibanda P, Motsa S S. A note on the solution of the von Karman equations using series and Chebyshev spectral methods[J]. Boundary Value Problems, 2010, 2010. Article ID 471793, 17 pages; doi: 10.1155/2010/471793.
|
[25] |
Makukula Z G, Sibanda P, Motsa S S. On new solutions for heat transfer in a visco-elastic fluid between parallel plates[J]. International Journal of Mathematical Models and Methods in Applied Sciences, 2010, 4(4): 221-230.
|
[26] |
Makukula Z, Motsa S S, Sibanda P. On a new solution for the viscoelastic squeezing flow between two parallel plates[J]. Journal of Advanced Research in Applied Mathematics, 2010, 2(4): 31-38.
|
[27] |
Motsa S S, Shateyi S. A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet[J]. Mathematical Problems in Engineering, 2010, 2010. Article ID 586340, 15 pages; doi: 10.1155/2010/586340.
|
[28] |
Shateyi S, Motsa S S. Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect[J]. Boundary Value Problems, 2010, 2010. Article ID 257568, 20 pages; doi: 10.1155/2010/257568.
|
[29] |
Trefethen L N. Spectral Methods in MATLAB[M]. Philadelphia: SIAM, 2000: 51-75.
|