Chebyshev finite difference method for MHD flow of a micropolar fluid past a stretching sheet with heat transfer

Applied Mathematics and Computation

Volumn 160, Issue 2, 2005, Pages 437-450

  Eldabe, N T ^a   Elshehawey, E F ^a   Elbarbary, Elsayed M E ^a,b   Elgazery, Nasser S ^a  

^a Ain Shams University   (Egypt)

^b Al Jouf Teachers College   (Saudi Arabia)

Author keywords

Chebyshev finite difference; Heat transfer; MHD flow; Micropolar fluid; Porbus medium; Stretching sheet

Indexed keywords

FINITE DIFFERENCE METHOD; HEAT TRANSFER; MAGNETIC FIELD EFFECTS; MAGNETIC PERMEABILITY; MAGNETOHYDRODYNAMICS; MASS TRANSFER; POROSITY; POROUS MATERIALS; VELOCITY MEASUREMENT;

CHEBYSHEV FINITE DIFFERENCE; MHD FLOW; MICROPOLAR FLUIDS; STRETCHING SHEET;

FLUID DYNAMICS;

EID: 9644308089     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.11.013     Document Type: Article

References (16)

1. C. Canuto, M.Y. Hussaini, A. Quarterini, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988.
2. E.M.E. Elbarbary, M. El-Kady, Chebyshev finite difference approximation for the boundary value problems, Appl. Math. Comput. 139 (2003) 513-523.
3. E.M.E. Elbarbary, Chebyshev finite difference method for the solution of boundary-layer equations, in press.
4. A.C. Eringen, Simple microfluids, Int. J. Eng. Sci. 2 (1964) 203-217.
5. A.C. Eringen, Theory of micropolar fluids, Math. Mech. 16 (1966) 1-18.
6. A.C. Eringen, Theory of thermomicropolar fluids, Math. Anal. Appl. 38 (1972) 480-496.
7. L. Fox, I.B. Parker, Chebyshev Polynomials in Numerical Analysis, Clarendon Press, Oxford, 1968.
8. D. Gottlieb, S.A. Orszag, Numerical analysis of spectral methods: theory and applications, in: CBMS-NSF Regional Conference Series, Applied Mathematics, vol. 26, SIAM, Philadelphia, PA, 1977.
9. I.A. Hassanien, R.S.R. Gorla, Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing, Acta Mech. 84 (1990) 191-199.
10. I.A. Hassanien, Boundary layer flow and heat transfer on continuous accelerated sheet extruded in an ambient micropolar fluid, Int. Comm. Heat Mass Transfer 25 (1998) 571-583.
11. I.A. Hassanien, A.A. Abdullah, R.S.R. Gorla, Numerical solutions for heat transfer in a micropolar fluid over a stretching sheet, Appl. Mech. Eng. 3 (1998) 377-391.
12. F.S. Ibrahim, I.A. Hassanien, Mixed convection boundary layer flow of a micropolar fluid on a horizontal flat plate with power law variation in surface temperature, Int. J. Therm. Sci. 39 (2000) 360-373.
13. H. Nasr, I.A. Hassanien, H.M. El-Hawary, Chebyshev solution of laminar boundary layer flow, Int. J. Comput. Math. 33 (1990) 127-132.
14. M.A. Seddeek, Effects of Hall and ion-slip currents on magneto-micropolar fluid and heat transfer over a non-isothermal stretching sheet with suction and blowing, Proc. R. Soc. Lond. A 457 (2001) 1-12.
15. M.A. Seddeek, Flow of a magneto-micropolar fluid past a continuously moving plate, Phys. Lett. A 306 (2003) 255-257.
16. R.G. Voigt, D. Gottlieb, M.Y. Hussaini, Spectral Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1984.