Investigation of flow parameters of a non-linearly stretching sheet by shooting technique

Authors

  • Massoud Malaki Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
  • Mohsen Malaki Faculty of Basic Sciences, Applied Mathematics Group, University of Shahid Rajaee, Tehran, Iran
  • Hamid Mesgarani Faculty of Basic Sciences, Applied Mathematics Group, University of Shahid Rajaee, Tehran, Iran

Keywords:

Viscous flow; Chemical reaction; Heat transfer; Magnetic field; shooting method

Abstract

Shooting method has been applied to investigating different parameters of a 2D viscous flow which is electrically conducting over a non-linear as well as a semi-infinite stretching sheet. In this study, the influences of a chemical reaction and magnetic field have also been considered and analyzed. The governing differential equations, concentration field and heat transfer, are firstly reduced to a set of coupled non-linearly ordinary differential equations (ODEs) and then have been processed and solved numerically by the shooting method. The numerical results of the concentration field and heat transfer are shown through graphs.

References

Afify, A.A., 2004. MHD free convective flow and mass transfer over a stretching sheet with chemical reaction” Heat Mass Transf., 40, pp. 495-500.

Andersson, H.I., Hansen, O.R., Holmedal, B., 1994. Diffusion of a chemically reactive species from a stretching sheet, Int. J. Heat Mass Transf, 37, pp. 659-664.

Anjalidevi, S.P., Kandasamy, R., 1999. Effects of chemical reaction heat and mass transfer on laminar flow along a semi infinite horizontal plate, Heat Mass Transf, 35, pp. 465-467.

Anjalidevi, S.P., Kandasamy, R., 2000. Effect of chemical reaction heat and mass transfer on MHD flow past a semi infinite plate, Z. Angew. Math. Mech, 80, pp. 697.

Annaratone, D., 2010. Engineering heat transfer, Springer, New York.

Chen, T.S., and Armaly, B.F., Mixed convection in external flow. In: KaKac S, Shah RK, Aung W, editors. Handbook of single-phase convective heat transfer. New York, Wiley, 1987.

Das, U.N., Deka, R.K., Soundalgekar, V.M., 1994. Effect of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forsch. Ingenieurwes, 60, pp. 284.

Mohamed, R.A., Abo Dahab, S.M., 2009. Influence of chemical reaction and thermal radiation on the heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium with heat generation, Int. J. Therm. Sci., 48, pp. 1800-1813.

Pal, D., Talukdar, B., 2010. Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction, Commun. Nonlinear Sci. Numer. Simul., 15, pp. 1813-1830.

Pop, I., Ingham, D.B., 2001. Convective heat transfer: mathematical and computational modeling of viscous fluids and porous media, Pergamon Press, Oxford.

Raptis, A., Perdikis, C., 2006. Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field, Int. J. Non Linear Mech., 41, pp. 527-529.

Vijayalakshmi, A.R., Muthucumaraswamy, R., 2010. Effects of first order chemical reaction on flow past an oscillating semi-infinite vertical plate, Int. J. Eng., Annals of Faculty of Engineering Hunedoara, 8, pp.173-179.

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Published

2013-04-28

How to Cite

Malaki, M. ., Malaki, M. ., & Mesgarani, H. . (2013). Investigation of flow parameters of a non-linearly stretching sheet by shooting technique. Scientific Journal of Pure and Applied Sciences, 2(4), 183-189. Retrieved from http://www.sjournals.com/index.php/sjpas/article/view/981

Issue

Vol. 2 No. 4 (2013): April

Section

Engineering

License

Copyright (c) 2013 Massoud Malaki, Mohsen Malaki, Hamid Mesgarani

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.