International Journal of Mathematics Trends and Technology
Volume 57 | Number 6 | Year 2018 | Article Id. IJMTT-V57P554 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P554
The present research article is to investigate the magnetohydrodynamic (MHD) free convective heat and mass transfer flow of viscous incompressible electrically conductive fluid over an inclined stretching sheet with viscous dissipation and constant heat flux with the help of homotophy perturbation technique. This paper gives the description of the effect of flow parameters on velocity, temperature and concentration, which is graphically represented in figures.
[1] Raptis, A. and Perdikis, C. (2006): Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field, Int. J. Nonlinear Mechanics, 41, pp. 527-529.
[2] Tan, Y., You, X. C., Hang, X. and Liao, S. J. (2008): A new branch of the temperature distribution of boundary layer flows over an impermeable stretching plate, Heat Mass Transfer, 44, pp. 501-504.
[3] Abel, M.S. and Mahesha, N. (2008): Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation, App. Math. Mod, 32, pp. 1965-1983.
[4] Samad, M. A. and Mohebujjamanr M. (2009): MHD heat and mass transfer free convection flow along a vertical stretching sheet in presence of magnetic field with heat generation, Res. J. Appl. Sci. Eng. Tech., 1, pp. 98-106.
[5] Alharbi, M., Saleh, L., Mohamed, A. A., Bazid, S. and MahmoudEl, Gendy (2010): Heat and mass transfer in MHD visco-elastic fluid flow through a porous medium over a stretching sheet with chemical reaction, App. Mathematics, 1, pp. 446-455.
[6] Seddeek, M. A. and Abdelmeguid, M. S. (2006): Effects of radiation and thermal diffusivity on heat transfer over a stretching surface with variable heat flux, Physics Letters A, 348, pp. 172-179.
[7] Ali, M., Alam, M. S., Alam, M. M. and Alim M. A. (2014): Radiation and thermal diffusion effects on a steady MHD free convection heat and mass transfer flow past an inclined stretching sheet with Hall current and heat generation, IOSR J. of Mathematics, 9, pp. 33-45.
[8] Ibrahim, W. and Shanker, B. (2012): Unsteady MHD boundary layer flow and heat transfer due to stretching sheet in the presence of heat source or sink by Quasi-linearization technique, Int. J. of Appl. Math. And Mech., 8, pp. 18-30.
[9] Ishak, A., Nazar, R. and Pop, I. (2009): Boundary layer flow and heat transfer over an unsteady stretching vertical surface, Mechanica, 44, pp. 369-375.
[10] Aldawody, Ebashbeshy (2010): Heat transfer over an unsteady stretching surface with variable heat flux in presence of heat source or sink, Computers and Mathematics with applications, 60, pp. 2806-2811.
[11] Fadzilah, M., Nazar, R., Norihan, M. and Pop, I. (2011): MHD boundary layer flow and heat transfer of a viscous and electrically conducting fluid over a stretching sheet with an induced magnetic field, J. of heat mass transfer, 47, pp. 155-162.
[12] M.M. Rashidi, M. KeimaneshUsing differential transform method and Padé Approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surfaceMathematical Problems in Engineering, 2010 (2010), p. 14
[13] Rashidi, M. M. and Erfani, E. (2011): A New analytical study of MHD stagnation–point flow in porous media with heat transfer, Computers & Fluids, 40, pp. 172-178.
[14] Rashidi, M. M., Erfani, E., Hayat, T., Mohimanian, S. A., PourAwatif and A-Hendi (2011): Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk, Communications in Nonlinear Science and Numerical Simulations, 16, pp. 4303-4317.
[15] Mohebujjaman, M., Khalequ, S. and Samad, M. (2010): MHD heat transfer mixed convection flow along a vertical stretching sheet in presence of magnetic field with heat generation, Int. J. of basic and Applied Science, 10.
[16] Seini, Y. I. and Makinde, O. D. (2013): MHD Boundary Layer Flow due to Exponential Stretching Surface with Radiation and Chemical Reaction, Hindawi Publishing Corporation Mathematical Problems in Engineering, p. 7.
[17] Abdusalam, H. A. (2005): On an improved complex tanh-function method, Int. J. Nonlinear Sci. Numer. Simul., 6(2), 99–106.
[18] Liu, H. M. (2004): Variational approach to nonlinear electrochemical system, Int. J. Nonlinear Sci. Numer. Simul., 5(1), 95–96.
[19] He, J. H. (2004): Variational principles for some nonlinear partial differential equations with variable coefficients, Chaos Solitons & Fractals, 19(4), 847–851.
[20] He, J. H. (1999): Variational iteration method: a kind of nonlinear analytical technique: some examples, Int. J. Nonlinear Mech., 34(4), 699–708.
[21] Mohammad Ali, Md. Abdul Alim, Md. Shah Alam (2014): Similarity Solution of Heat and Mass Transfer Flow over an Inclined Stretching Sheet with Viscous Dissipation and Constant Heat Flux in presence of Magnetic Field. Science Direct, 6th BSME International Conference on Thermal Engineering, 105 (2015) 557-569.
Divya Saxena, Dr. Vivek Kumar Sharma, "Magneto Hydrodynamic Free Convection Heat and Mass Transfer Flow of a Viscous, Conductive Fluid over an Inclined Stretching Sheet with Viscous Dissipation and Constant Heat Flux Using Homotophy Perturbation Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 6, pp. 394-401, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P554
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