Author

Govind Pathak

Keywords

Heat Transfer; Mass Transfer; Hydromagnetic Flow; Soret Number; Thermophoretic Parameter

Abstract

In the present research paper Thermophoretic and Soret effects in steady free convection flow with magnetic field along with moving surface is studied. Thermophoresis effects is not negligible due to its important applications in engineering mainly for removing small particles from gas streams, in determining exhaust gas particle trajectories from combustion devices and in studying the material deposition on turbine blades. The non-linear boundary layer equations are converted into ordinary differential equation and applying Runge-Kutta shooting method. The effects of non-dimensional temperature parameter, Prandtl number, temperature exponent, magnetic parameter, Eckert number, Lewis number, Soret number and thermophoretic parameter have been studied. The velocity profile, temperature distribution and concentration distribution graphs are plotted and discuss in details.

References

[1] R. Muthucumaraswamy and G. Senthil Kumar, “Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation”, Theoret. Appl. Mech., 31(1), 2004, pp. 35-46.

[2] R. Kandasamy, “Nonlinear hydromagnetic flow, heat and mass transfer over an accelerating vertical surface with internal heat generation and thermal stratification effects”, Journal of Computational and Applied Mechanics, 6(1), 2005, pp. 27-37.

[3] E. Mohamed Ali, “The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface”, International Journal of Thermal Sciences, 45, 2006, pp. 60–69.

[4] R. Muthucumaraswamy, P. Chandrakala and S. Antony Raj, “Radiative heat and mass transfer effects on moving isothermal vertical plate in the presence of chemical reaction”, Int. J. of Applied Mechanics and Engineering, 11(3), 2006, pp. 639-646.

[5] M. Alam, M. A. Alim, and M. K. Chowdhury, “Viscous dissipation effects on MHD natural convection flow over a sphere in the presence of heat generation”, Nonlinear Anal. Model. Control, 12 (4), 2007, pp. 447 – 459.

[6] Mostafa A. A. Mahmoud, “Variable viscosity effects on hydromagnetic boundary layer flow along a continuously moving vertical plate in the presence of radiation”, Applied Mathematical Sciences, 1(17), 2007, pp. 799-814.

[7] A. Ishak, R. Nazar and I. Pop, “MHD boundary layer flow due to a moving extensible surface”, J. Engineering Math, 62, 2008, pp. 23-33.

[8] P. M. Patil, S. Roy and A. J. Chamkha, “Double diffusive mixed convection flow over a moving vertical plate in the presence of internal heat generation and a chemical reaction”, Turkish J. Eng. Env. Sci. 33, 2009, pp. 193 – 205.

[9] R. A. Mohamed, “Double-Diffusive convection-radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effects”, Applied Mathematical Sciences, 3(13), 2009, pp. 629-651.

[10] P. Chandrakala, “Thermal radiation effects on moving infinite vertical plate with uniform heat flux, International Journal of Dynamics of Fluids, 6(1), 2010, pp. 49-55.

[11] R. N. Jat and Santosh Chaudhary, “Hydromagnetic flow and heat transfer on a continuously moving surface”, Applied Mathematical Sciences, Vol. 4, No. 2, 2010, pp. 65 – 78.

[12] Utpal Jyoti Das, “Effects of variable viscosity on hydro magnetic boundary layer flow along a continuously moving vertical plate in the presence of radiation and chemical reaction”, Journal of Electromagnetic Analysis and Applications, 5, 2013, pp. 5-9. http://dx.doi.org/10.4236/jemaa.2013.51002.

[13] Govind Pathak and G. S. Sisodia, “Radiation effects on free convection flow through porous medium”, GJ AMMS, Vol. 1, No. 2, 2008, pp. 169-181.

[14] P.O. Olanrewaju and A. Adeniyan, “Dufour and Soret effects on MHD free convection with thermal radiation and mass transfer past a vertical plate embedded in a porous medium”, Nonlinear Science Letters,A- Mathematics, Physics and Mechanics, Vol.4, No.1, 2013, pp. 21-34.

[15] N.V. N Babu, Ajit Paul and Murali G., “Soret and Dufour effects on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in the presence of chemical reaction”, Journal of Science and Arts, No. 1(30), 2015, pp. 99- 111, 2015.

[16] Md. Jashim Uddin and Md. Yeakub Ali, “Effects of hydromagnetic and thermophoresis of unsteady forced convection boundary layer flow over flat plates”, Journal of Applied Mathematics and Physics, 4, 2016, pp. 1756-1776.

[17] M. Dakshinamoorthy, P. Geetha and M. B. K. Moorthy, “Boundary layer flow and heat transfer over a continuous surface in the presence of hydromagnetic field”, International Journal of Mathematical Analysis, Vol. 8, No. 38, 2014, pp. 1859 – 1872, http://dx.doi.org/10.12988/ijma.2014.47189

[18] F. C. Lai and F. A. Kulacki, “The effect of variable viscosity on convective heat transfer along a vertical surface in saturated porous medium”, Int. J. Heat Mass Transfer, 33, 1990, pp. 1028-1031.

[19] G. K. Batchelor and C. Shen, “Thermophoretic deposition of particles in gas flowing over cold surface. J.Colloid Interface Sci., 107, 1985, pp. 21–37.

[20] L. Talbot, R. K. Cheng, A. W. Schefer and D. R. Wills, “Thermophoresis of particles in a heated boundary layer”, J. Fluid Mech., 101, 1980, pp. 737–758.

[21] A. F. Mills, X. Hang and F. Ayazi, “The effect of wall suction and thermophoresis on aerosol-particle deposition from a laminar boundary layer on a flat plate. Int. J. Heat and Mass Transfer, 27, 1984, pp. 1110–1114.

[22] R. A. Tsai, “Simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate”, Int. Comm. Heat Mass Transfer, 26, 1999, pp. 249–257.

[2] R. Kandasamy, “Nonlinear hydromagnetic flow, heat and mass transfer over an accelerating vertical surface with internal heat generation and thermal stratification effects”, Journal of Computational and Applied Mechanics, 6(1), 2005, pp. 27-37.

[3] E. Mohamed Ali, “The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface”, International Journal of Thermal Sciences, 45, 2006, pp. 60–69.

[4] R. Muthucumaraswamy, P. Chandrakala and S. Antony Raj, “Radiative heat and mass transfer effects on moving isothermal vertical plate in the presence of chemical reaction”, Int. J. of Applied Mechanics and Engineering, 11(3), 2006, pp. 639-646.

[5] M. Alam, M. A. Alim, and M. K. Chowdhury, “Viscous dissipation effects on MHD natural convection flow over a sphere in the presence of heat generation”, Nonlinear Anal. Model. Control, 12 (4), 2007, pp. 447 – 459.

[6] Mostafa A. A. Mahmoud, “Variable viscosity effects on hydromagnetic boundary layer flow along a continuously moving vertical plate in the presence of radiation”, Applied Mathematical Sciences, 1(17), 2007, pp. 799-814.

[7] A. Ishak, R. Nazar and I. Pop, “MHD boundary layer flow due to a moving extensible surface”, J. Engineering Math, 62, 2008, pp. 23-33.

[8] P. M. Patil, S. Roy and A. J. Chamkha, “Double diffusive mixed convection flow over a moving vertical plate in the presence of internal heat generation and a chemical reaction”, Turkish J. Eng. Env. Sci. 33, 2009, pp. 193 – 205.

[9] R. A. Mohamed, “Double-Diffusive convection-radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effects”, Applied Mathematical Sciences, 3(13), 2009, pp. 629-651.

[10] P. Chandrakala, “Thermal radiation effects on moving infinite vertical plate with uniform heat flux, International Journal of Dynamics of Fluids, 6(1), 2010, pp. 49-55.

[11] R. N. Jat and Santosh Chaudhary, “Hydromagnetic flow and heat transfer on a continuously moving surface”, Applied Mathematical Sciences, Vol. 4, No. 2, 2010, pp. 65 – 78.

[12] Utpal Jyoti Das, “Effects of variable viscosity on hydro magnetic boundary layer flow along a continuously moving vertical plate in the presence of radiation and chemical reaction”, Journal of Electromagnetic Analysis and Applications, 5, 2013, pp. 5-9. http://dx.doi.org/10.4236/jemaa.2013.51002.

[13] Govind Pathak and G. S. Sisodia, “Radiation effects on free convection flow through porous medium”, GJ AMMS, Vol. 1, No. 2, 2008, pp. 169-181.

[14] P.O. Olanrewaju and A. Adeniyan, “Dufour and Soret effects on MHD free convection with thermal radiation and mass transfer past a vertical plate embedded in a porous medium”, Nonlinear Science Letters,A- Mathematics, Physics and Mechanics, Vol.4, No.1, 2013, pp. 21-34.

[15] N.V. N Babu, Ajit Paul and Murali G., “Soret and Dufour effects on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in the presence of chemical reaction”, Journal of Science and Arts, No. 1(30), 2015, pp. 99- 111, 2015.

[16] Md. Jashim Uddin and Md. Yeakub Ali, “Effects of hydromagnetic and thermophoresis of unsteady forced convection boundary layer flow over flat plates”, Journal of Applied Mathematics and Physics, 4, 2016, pp. 1756-1776.

[17] M. Dakshinamoorthy, P. Geetha and M. B. K. Moorthy, “Boundary layer flow and heat transfer over a continuous surface in the presence of hydromagnetic field”, International Journal of Mathematical Analysis, Vol. 8, No. 38, 2014, pp. 1859 – 1872, http://dx.doi.org/10.12988/ijma.2014.47189

[18] F. C. Lai and F. A. Kulacki, “The effect of variable viscosity on convective heat transfer along a vertical surface in saturated porous medium”, Int. J. Heat Mass Transfer, 33, 1990, pp. 1028-1031.

[19] G. K. Batchelor and C. Shen, “Thermophoretic deposition of particles in gas flowing over cold surface. J.Colloid Interface Sci., 107, 1985, pp. 21–37.

[20] L. Talbot, R. K. Cheng, A. W. Schefer and D. R. Wills, “Thermophoresis of particles in a heated boundary layer”, J. Fluid Mech., 101, 1980, pp. 737–758.

[21] A. F. Mills, X. Hang and F. Ayazi, “The effect of wall suction and thermophoresis on aerosol-particle deposition from a laminar boundary layer on a flat plate. Int. J. Heat and Mass Transfer, 27, 1984, pp. 1110–1114.

[22] R. A. Tsai, “Simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate”, Int. Comm. Heat Mass Transfer, 26, 1999, pp. 249–257.

**Received : 13 November 2020**

Accepted : 17 January 2021

Published : 11 February 2021

DOI:

Accepted : 17 January 2021

Published : 11 February 2021

DOI:

**10.30726/esij/v8.i1.2021.81002**