Thermeal Diffusion and Diffusion Thermo Effects on the Motion of Viscoelastic Fluid through Porous Medium with Chemical Reaction under the Influence of Uniform Magnetic Field

Authors

  • Nabil T. M. El-dabe
  • Mohamed Y. Abouzeid
  • Hemat A. Sayed

Keywords:

--- Viscoelasic Fluid, Magnetic Field, Porous Medium, Thermal Diffusion, Diffusion Thermo, Chemical Reaction.

Abstract

The motion of non-Newtonian fluid through porous medium inside the boundary layer of an infinite wall is considered. The fluid is obeying the viscoelastic type and the motion is under the effects of magnetic field with chemical reaction and heat generation. The problem is modulated mathematically by using the continuity, momentum, heat and mass transfer equations. The system of differential equations which describe this motion is solved numerically with appropriate boundary conditions by using finite difference scheme. Numerical results are presented to investigate the influence of the magnetic parameter, visco-elastic parameter, porous medium parameter, Prandtl number, heat source sink parameter, Dufour number, Hartmann number, Eckert number, Sort number, Schmidt number and the chemical reaction parameter on the stream function, temperature and concentration profiles. Several graphs for these results of physical interest are displayed and discussed in detail.

References

- P. H. Veena, V. K. Pravin, S. M. Shahjahan and V. B. Hippargi, “Non similar solution for heat and mass transfer flow in an electrically conducting viscoelastic fluid over a stretching sheet embedded in a porous mediumâ€, Int. J. Modern Mathematics, vol. 2(1), pp. 9-26, (2007).

- N. T. El dabe and S. N. Sallam, “Non- Darcy couette flow through a porous medium of magnetohydrodynamic viscoelastic fluid with heat and mass transferâ€, Can. J. Phys., vol. 83, pp. 1241-1263, (2005).

- N. T. El dabe and S. N. Sallam, “MHD flow and heat transfer in a viscoelastic incompressible fluid confined between a horizontal stretching sheet and a parallel porous wallâ€, Can. J. Phys., vol. 76, pp. 949-964, (1998).

- N. T. El dabe, A. G. Elsaka, A. E. Radwan and M. A. M. Eltaweel, “Effects of chemical reaction and heat radition on the MHD flow of viscoelastic fluid through a porous medium over a horizontal stretching flate plateâ€, J. American Science, (2010).

- S. M. Alharbi, V. K. Pravin, S. M. Shahjahan and V. B. Hippargi, “Non similar solution for heat and mass transfer flow in an electrically conducting viscoelastic fluid over a stretching sheet embedded in a porous mediumâ€, Int. J. Modern Mathematics, vol. 2(1), pp. 9-26, (2007).

- V. Kumar, R. Johari and R. Jha, “Effect of thermal diffusion on MHD flow of a visco-elastic(Walter’s liquid model-B) fluid through porous medium with heat sourceâ€, Int. J. Math. Res., vol. 6, pp. 599-606, (2011).

- T. Hayat, Z. Abbas and S. Asghars. “Heat transfer analysis on rotation flow of a second grade fluid past a porous plate with variable suctionâ€. Math. Prob.Eng 5:5; pp.555-82, 2005.

- S. Abel, M. Joshi and R. M. Sonth, “Heat transfer in MHD viscoelastic fluid over a stretching surfaceâ€, ZAMM 81 (10),pp. 691-698, (2001).

- J. E. Dunn, R. L. Fosdick, “Thermodynamics, stability, and boundedness of fluid of complexity 2 and fluids of second gradeâ€, Arch. Rat.Mech. Anal. 56,p.191, (1974).

- M. S. Alam, and M. M. Rahman, “Dufour and Soret effects on mixed convection flow past a vertical porous flat plate with variable suctionâ€, Nonlinear Anal Model Control, vol. 11, pp. 3-12, (2006).

- H. A. M. El-Arabawy, “Soret and Dufour effects on natural convection flow past a vertical in a porous medium with variable surface temperatureâ€, J. Math. Stat., vol. 5(3), pp.190-198,(2009).

- N. T. El dabe, A. G. El-Saka and A. Fouad, “Thermal-diffusion and diffusion-thermo effects on mixed free-forced convection and mass transfer boundary layer flow for non-Newtonian fluid with temperature dependent viscosityâ€. Applied Mathematics and Computation 152 (3):pp. 867-883, (2004).

- N. T. El dabe and M. Abu Zeid: “Thermal diffusion and diffusion thermo effects on the viscous fluid flow with heat and mass transfer through porous medium over a shrinking sheetâ€. J. Applied Mathematics 2013.

- S. Abel, P. H. Veena, K. Rajgopal and V. K. Pravin, “Non-Newtonian magneto-hydrodynamic flow over a stretching surface with heat and mass transferâ€, International Journal of Non-Linear Mechanics 39, pp.1067-1078,(2004).

Downloads

Published

2014-12-15

How to Cite

El-dabe, N. T. M., Abouzeid, M. Y., & Sayed, H. A. (2014). Thermeal Diffusion and Diffusion Thermo Effects on the Motion of Viscoelastic Fluid through Porous Medium with Chemical Reaction under the Influence of Uniform Magnetic Field. Asian Journal of Applied Sciences, 2(6). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/1894