116
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Finite element and Chebyshev finite difference methods for micropolar flow past a stretching surface with heat and mass transfer

Pages 105-122 | Received 25 Mar 2006, Accepted 22 Mar 2007, Published online: 31 Dec 2007

References

  • Eringen , A. C. and Suhubi , E. S. 1964 . Nonlinear theory of simple micro-elastic solids . International Journal of Engineering Science , 2 : 189 – 203 .
  • Eringen , A. C. 1966 . Theory of micropolar fluids . Journal of Mathematics and Mechanics , 16 : 1 – 18 .
  • Eringen , A. C. 1972 . Theory of thermomicrofluids . Journal of Mathematical Analysis and Applications , 38 : 480 – 496 .
  • Andersson , H. I. 1992 . MHD flow of a visco-elastic fluid past a stretching surface . Acta Mechanica , 95 : 227 – 230 .
  • Watanabe , T. and Pop , I. 1994 . Thermal boundary layers in magnetohydrodynamic flow over a flat plate in the presence of a transverse magnetic field . Acta Mechanica , 105 : 233 – 238 .
  • Raghava Rao , C. V. and Sekhar , T. V.S. 2000 . MHD flow past a circular cylinder—a numerical study . Computational Mechanics , 26 : 430 – 436 .
  • Chowdhury , M. K. and Islam , M. N. 2000 . MHD free convection flow of visco-elastic fluid past an infinite vertical porous plate . Heat and Mass Transfer , 36 : 439 – 447 .
  • Abel , M. S. , Joshi , A. and Sonth , R. M. 2001 . Heat transfer in MHD visco-elastic fluid flow over a stretching surface . Zeitschrift für Angewandte Mathematik , 81 : 691 – 698 .
  • Chamkha , A. J. 1997 . Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium . International Journal of Engineering Science , 34 : 975 – 986 .
  • Kim , Y. J. 2001 . Unsteady MHD convection flow of polar fluids past a vertical moving porous plate in a porous medium . Internationa Journal of Heat and Mass Transfer , 44 : 2791 – 2799 .
  • Gebhart , B. , Jaluria , Y. , Mahajan , R. L. and Sammakia , B. 1998 . Buoyancy-induced Flow and Transport , New York : Hemisphere .
  • Elbashbeshy , E. M.A. 1997 . Heat and mass transfer along a vertical plate with variable surface temperature and concentration in the presence of the magnetic field . International Journal of Engineering Science , 34 : 515 – 522 .
  • El-Hakiem , M. A. , Mohammadein , A. A. and El-Kabeir , S. M.M. 1999 . Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid . International Communications on Heat and Mass Transfer , 26 : 219 – 227 .
  • Ganesan , P. and Rani , H. P. 2000 . Unsteady free convection MHD flow past a vertical cylinder with heat and mass transfer . International Journal of Thermal Science , 39 : 265 – 272 .
  • Aboeldahab , E. M. and Elbarbary , E. M.E. 2001 . Hall current effect on magneto-hydrodynamic free convection flow past a semi-infinite vertical plate with mass transfer . International Journal of Engineering Science , 39 : 1641 – 1652 .
  • Chamkha , A. J. and Khaled , A. R.A. 2001 . Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption . Heat and Mass Transfer , 37 : 117 – 123 .
  • Chen , C. H. 2004 . Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation . International Journal of Engineering Science , 42 : 699 – 713 .
  • Sparrow , E. M. , Quack , H. and Boerner , C. J. 1970 . Local non-similarity boundary-layer solutions . American Institute of Astronautics and Aeronautics Journal , 8 : 1936 – 1942 .
  • Voigt , R. G. , Gottlieb , D. and Hussaini , M. Y. 1984 . Spectral Methods for Partial Differential Equations , Philadelphia, PA : SIAM .
  • Aouadi , M. 2007 . Numerical study for micropolar flow over a stretching sheet . Computational Materials Science , 38 : 774 – 780 .
  • Rees , D. A.S. and Pop , I. 1998 . Free convection boundary layer flow of a micropolar fluid from a vertical flat plate . IMA Journal of Applied Mathematics , 61 : 179 – 197 .
  • Bhargava , R. , Kumar , L. and Takhar , H. S. 2003 . Finite element solution of mixed convection micropolar flow driven by a porous stretching sheet . International Journal of Engineering Science , 41 : 2161 – 2178 .
  • Abramowitz , M. and Stegun , L. A. 1972 . Handbook of Mathematical Functions , Vol. 55 , Providence, RI : National Bureau of Standards/Amererican Mathematical Society .
  • Reddy , J. N. 1984 . An Introduction to the Finite Element Method , New York : McGraw-Hill .
  • Agarwal , R. S. , Bhargava , R. and Balaji , A. V.S. 1989 . Finite element solution of flow and heat transfer of a micropolar fluid over a stretching sheet . International Journal of Engineering Science , 27 : 1421 – 1428 .
  • Elbarbary , E. M.E. and El-Kady , M. 2003 . Chebyshev finite difference approximation for the boundary value problems . Applied Mathematics and Computation , 139 : 513 – 523 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.