ORIGINAL PAPER
Analytical Solution to the MHD Flow of Micropolar Fluid Over a Linear Stretching Sheet
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1
Department of Mathematics, Bangalore University Central College Campus Bangalore 560 001, INDIA
2
Department of Mathematics Government First Grade College for Women Hassan 573 201, Karnataka, INDIA
Online publication date: 2015-05-23
Publication date: 2015-05-01
International Journal of Applied Mechanics and Engineering 2015;20(2):397-406
KEYWORDS
ABSTRACT
The flow due to a linear stretching sheet in a fluid with suspended particles, modeled as a micropolar fluid, is considered. All reported works on the problem use numerical methods of solution or a regular perturbation technique. An analytical solution is presented in the paper for the coupled non-linear differential equations with inhomogeneous boundary conditions.
FUNDING
This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interest.
DATA AVAILABILITY
All data generated or analysed during this study are included in this published article.
REFERENCES (16)
1.
Abo-Eldahab E.M. and Ghonaim A.F. (2003): Convective heat transfer in an electrically conducting micropolar fluid at a stretching surface with uniform free stream. - App. Math. Comp., vol.137, No.2, pp.323-336.
2.
Agarwal R.S., Rama B. and Balaji A.V.S. (1989): Finite element solution of flow and heat transfer of a micropolar fluid a over stretching sheet. - Int. J. Engg. Sci., vol.2, pp.1421-1428.
3.
Bhargava R., Kumar L. and Takhar H.S. (2003): Finite element solution of mixed convection micropolar flow driven by a porous stretching sheet. - Int. J. Engg. Sci., vol.41, pp.2161-2178.
4.
Eldabe N.T., Elshehawey E.F., Elbarbary E.M.E. and Elgazery N.S. (2005): Chebyshev finite diffrence method for MHD flow of a micropolar fluid past a stretching sheet with heat transfer. - Appl. Maths. Comp., vol.160, No.2, pp.437-450.
5.
Hady F.M. (1996): Short communication on the solution of heat transfer to micropolar fluid from a non-isothermal stretching sheet with injection. - Int. J. Num. Meth. Heat Fluid Flow, vol.6, pp.99-104.
6.
Hassanien I.A. (1998): Boundary layer flow and heat transfer on a continuous on a continuous accelerated sheet extruded in an ambient micropolar fluid. - Int. J. Comm. Heat Mass Transfer, vol.25, pp.571-583.
7.
Hassanien I.A. and Gorla R.S.R. (1990): Heat transfer to micropolar fluid from a non-isothermal stretching sheet with suction and blowing. - Acta Mech., vol.84, pp.191-199.
8.
Heruska M.H., Watson L.T. and Sankara K.K. (1986): Micropolar flow past a porous stretching sheet. - Comp. Fluids, vol.14, pp.117-129.
9.
Kelson N.A. and Desseaux A. (2001): Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet. - Int. J. Engg. Sci., vol.39, pp.1881-1897.
10.
Kelson N.A. and Farrell T.W. (2001): Micropolar flow over porous stretching sheet with strong suction or injection. - Int. J. Comm. Heat Mass Transfer, vol.28, No.4, pp.479-488.
11.
Lukaszewicz (1999): Micropolar fluid theory and applications. - Birkhauser Boston, M.A., USA.
12.
Mohammadein A.A. and Gorla R.S.R. (2000): Heat transfer in micropolar fluid over a stretching sheet with viscous dissipation and internal heat generation. - Int. J. Num. Math. Heat Fluid Flows, vol.11, No.1, pp.50-58.
13.
Nazar R., Amin N., Filip D. and Pop I. (2004): Stagnation point flow of micropolar fluid towards s stretching sheet. - Int. J. Non-Linear Mech., vol.39, pp.1227-1235.
14.
Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a viscoelastic fluid over a stretching sheet. - Rheo. Acta, vol.23, pp.213-215.
15.
Seddeek M.A. (2001): Effect of Hall and ion-slip currents on magneto-micropolar fluid and heat transfer over a nonisothermal stretching sheet with suction and blowing. - Proc. Roy. Soc. Lond. A, vol.457, pp.3039-3050.
16.
Siddheshwar P.G. and Mahabaleswar U.S. (2005): Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. - Int. J. Non-Linear Mech., vol.40, pp.807-820.