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ORIGINAL PAPER
Soret and Dufour Effects on MHD Free Convective Flow Past a Vertical Porous Plate in the Presence of Heat Generation
1
Department of Mathematics, K.L. University, Guntur-522502, A.P, India
Online publication date: 2016-09-10
Publication date: 2016-08-01
International Journal of Applied Mechanics and Engineering 2016;21(3):649-665
KEYWORDS
ABSTRACT
An MHD fluid flow is examined over a vertical plate in the presence of Dufour and Soret effects. The resulting momentum, energy and concentration equations are then made similar by introducing the usual similarity transformations. These similar equations are then solved numerically using the Runge-Kutta fourth order method with shooting technique. The effects of various parameters on the dimensionless velocity, temperature and concentration profiles as well as the local values of the skin-friction coefficient, the Nusselt number and Sherwood number are displayed graphically and in a tabular form. A comparison with previously published work is obtained and an excellent agreement is found.
REFERENCES (64)
1.
Nield D.A. and Bejan A. (1998): Convection in Porous Media. – 2nd Edition, Berlin: Springer-Verlag.
2.
Nield D.A., Bejan A. (1998). Convection in Porous Media, 2nd Edition. Springer-Verlag, Berlin.
3.
Hiremath P.S. and Patil P.M. (1993): Free convection effects on oscillatory flow of couple stress field through a porous medium. – Acta Mechanica, vol.98, No.1-4, pp.143-158.
4.
Hiremath P.S., Patil P.M. (1993). Free convection effects on oscillatory flow of couple stress field through a porous medium Acta Mechanica. 98 (1-4): 143-158.
5.
Sharma B.K., Chaudhary R.C. and Sharma P.K. (2007): Fluctuating mass transfer on three-dimensional flow through a porous medium with variable permeability. – Advancesin Theoretical and Applied Mathematics, vol.2, No.3, pp.257-267.
6.
Sharma B.K., Chaudhary R.C., Sharma P.K. (2007). Fluctuating mass transfer on three-dimensional flow through a porous medium with variable permeability Advancesin Theoretical and Applied Mathematics. 2 (3): 257-267.
7.
Pop I. and Ingham D.B. (2001): Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media. – Oxford, UK: Pergamon.
8.
Pop I., Ingham D.B. (2001). Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media. Pergamon, Oxford, UK.
9.
Ingham D.B. and Pop I. (2005): Transport Phenomena in Porous Media III. – Oxford: Elsevier.
10.
Ingham D.B., Pop I. (2005). Transport Phenomena in Porous Media III. Elsevier, Oxford.
11.
Vafai K. (2005): Handbook of Porous Media. – 2nd Edition, New York, NY, USA: Taylor and Francis.
12.
Vafai K. (2005). Handbook of Porous Media, 2nd Edition. Taylor and Francis, New York, NY, USA.
13.
Vadasz P. (2008): Emerging Topics in Heat and Mass Transfer in Porous Media. – New York: Springer.
14.
Vadasz P. (2008). Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, New York.
15.
Gupta A.S. (1961): Steady and transient free convection of an electrically conducting fluid from a vertical plate in the presence of magnetic field. – Appl. Sci. Res., vol.9, No.A, pp.319-333.
16.
Gupta A.S. (1961). Steady and transient free convection of an electrically conducting fluid from a vertical plate in the presence of magnetic field Appl. Sci. Res. 9 (A): 319-333.
17.
Lykoudis P.S (1962): Natural convection of an electrically conducting fluid in the presence of a magnetic field. – Int. J. Heat Mass Transfer, vol.5, pp.23-34.
18.
Lykoudis P.S. (1962). Natural convection of an electrically conducting fluid in the presence of a magnetic field Int. J. Heat Mass Transfer. 5: 23-34.
19.
Nanda R.S and Mohanty H.K (1970): Hydromagnetic free convection for high and low Prandtl numbers. – J. Phys. Soc. Japan, vol.29, pp.1608-1618.
20.
Nanda R.S, Mohanty H.K. (1970). Hydromagnetic free convection for high and low Prandtl numbers J. Phys. Soc. Japan. 29: 1608-1618.
21.
Chaudhary R.C. and Sharma B.K. (2006): Combined heat and mass transfer by laminar mixed convection flow from a vertical surface with induced magnetic field. – Journal of Applied Physics, vol.99, No.3, pp.34901-34100.
22.
Chaudhary R.C., Sharma B.K. (2006). Combined heat and mass transfer by laminar mixed convection flow from a vertical surface with induced magnetic field Journal of Applied Physics. 99 (3): 34901-34100.
23.
El-Amin M.F. (2001): Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction. – Journal of Magnetism and Magnetic Materials, vol.234, No.3, pp.567-574.
24.
El-Amin M.F. (2001). Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction Journal of Magnetism and Magnetic Materials. 234 (3): 567-574.
25.
Raptis A. and Kafoussias N.G. (1982): Magnetohydrodynamic free convection flow and mass transfer through porous medium bounded by an infinite vertical porous plate with constant heat flux. – Can. J. Phys., vol.60, No.12, pp.1725–1729.
26.
Raptis A., Kafoussias N.G. (1982). Magnetohydrodynamic free convection flow and mass transfer through porous medium bounded by an infinite vertical porous plate with constant heat flux Can. J. Phys. 60 (12): 1725-1729.
27.
Kim Y.J. (2004): Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium. – Transport in Porous Media, vol.56, No.1, pp.17–37.
28.
Kim Y.J. (2004). Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium Transport in Porous Media. 56 (1): 17-37.
29.
Singh V. and Agarwal S. (2012): Heat transfer in a second grade fluid over an exponentially stretching sheet through porous medium with thermal radiation and elastic deformation under the effect of magnetic field – Int. J. of Appl. Math and Mech., vol.8, No.4, pp.41-63.
30.
Singh V., Agarwal S. (2012). Heat transfer in a second grade fluid over an exponentially stretching sheet through porous medium with thermal radiation and elastic deformation under the effect of magnetic field Int. J. of Appl. Math and Mech. 8 (4): 41-63.
31.
Makinde O.D and Ogulu A. (2008): The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field. – Chemical Engineering Communications, vol.195, No.12, pp.1575-1584.
32.
Makinde O.D, Ogulu A. (2008). The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field Chemical Engineering Communications. 195 (12): 1575-1584.
33.
Reddy G.V.R. and Reddy N.B. (2011): Effects of MHD oscillatory flow past a vertical porous plate embedded in a rotating porous medium. – International Journal of Research and Reviews in Applicable Mathematics and Computer Science, vol.1, No.4.
34.
Reddy G.V.R., Reddy N.B. (2011). Effects of MHD oscillatory flow past a vertical porous plate embedded in a rotating porous medium International Journal of Research and Reviews in Applicable Mathematics and Computer Science. 1 (4).
35.
Vajravelu K. and Hadjinicolaou A. (1993): Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation. – Int. Comm. Heat Mass Transfer, vol.20, pp.417-430.
36.
Vajravelu K., Hadjinicolaou A. (1993). Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation Int. Comm. Heat Mass Transfer. 20: 417-430.
37.
Hossain M.A., Molla M.M. and Yaa L.S. (2004). Natural convection flow along a vertical wary surface temperature in the presence of heat generations /absorption. – Int. J. Thermal Science, vol.43, pp.157-163.
38.
Hossain M.A., Molla M.M., Yaa L.S. (2004). Natural convection flow along a vertical wary surface temperature in the presence of heat generations /absorption Int. J. Thermal Science. 43: 157-163.
39.
Kesavaiah D.Ch., Satyanarayana P.V. and Venkataramana S. (2011): Effects of the chemical reaction and radiation absorption on unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in porous medium with heat source and suction. – Int. J. of Appl. Math. and Mech., vol.7, No.1, pp52-69.
40.
Kesavaiah D.Ch., Satyanarayana P.V., Venkataramana S. (2011). Effects of the chemical reaction and radiation absorption on unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in porous medium with heat source and suction Int. J. of Appl. Math. and Mech. 7 (1): 52-69.
41.
Reddy G.V.R., Murthy Ch.V.R. and Reddy N.B. (2011): MHD flow over a vertical moving porous plate with heat generation by considering double diffusive convection. – International Journal of Applied Mathematics and Mechanics, vol.7, No.1, pp.1-17.
42.
Reddy G.V.R., Murthy Ch.V.R., Reddy N.B. (2011). MHD flow over a vertical moving porous plate with heat generation by considering double diffusive convection International Journal of Applied Mathematics and Mechanics. 7 (1): 1-17.
43.
Anghel M., Takhar H.S. and Pop I. (2000): Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium. – Stud. Univ. Babes-Bolyai, Math., vol.45, pp.11-21.
44.
Anghel M., Takhar H.S., Pop I. (2000). Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium Stud. Univ. Babes-Bolyai, Math. 45: 11-21.
45.
Postelnicu I. (2004): Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. – Int. J. Heat Mass Transfer, vol.47, pp.1467-1472.
46.
Postelnicu I. (2004). Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects Int. J. Heat Mass Transfer. 47: 1467-1472.
47.
Alam M.S., Rahman M.M., Maleque M.A. and Ferdows M. (2006): Dufour and Soret effects on steady MHD combined free-forced convective and mass transfer flow past a semi-infinite vertical plate. – Thammasat Int. J. Sci. Technol., vol.11, No.2, pp.1-12.
48.
Alam M.S., Rahman M.M., Maleque M.A., Ferdows M. (2006). Dufour and Soret effects on steady MHD combined free-forced convective and mass transfer flow past a semi-infinite vertical plate Thammasat Int. J. Sci. Technol. 11 (2): 1-12.
49.
Chamkha A.J. and Ben-Nakhi A. (2008): MHD mixed convection-radiation interaction along a permeable surface immersed in a porous medium in the presence of Soret and Dufour’s effects. – Heat Mass Transfer, vol.44, pp.845-856.
50.
Chamkha A.J., Ben-Nakhi A. (2008). MHD mixed convection-radiation interaction along a permeable surface immersed in a porous medium in the presence of Soret and Dufour’s effects Heat Mass Transfer. 44: 845-856.
51.
Alam M.S. and Rahman M.M. (2005): Dufour and Soret effects on MHD free convective heat and mass transfer flow past a vertical flat plate embedded in a porous medium. – J. Naval Architecture and Marine Engineering, vol.2, No.1, pp.55-65.
52.
Alam M.S., Rahman M.M. (2005). Dufour and Soret effects on MHD free convective heat and mass transfer flow past a vertical flat plate embedded in a porous medium J. Naval Architecture and Marine Engineering. 2 (1): 55-65.
53.
Sarma G.S., Prasad R.K. and Govardhan K. (2013): The combined effect of chemical reaction, thermal radiation on steady free convection and mass transfer flow in a porous medium considering Soret and Dufour effects. – IOSR Journal of Mathematics, vol.8, No.2, pp.67-87.
54.
Sarma G.S., Prasad R.K., Govardhan K. (2013). The combined effect of chemical reaction, thermal radiation on steady free convection and mass transfer flow in a porous medium considering Soret and Dufour effects IOSR Journal of Mathematics. 8 (2): 67-87.
55.
Mansour M.A., El-anssary N.F. and Aly A.M. (2008): Effects of chemical reaction and thermally stratification on MHD free convection heat and mass transfer over a vertical stretching surface embedded in porous media considering Soret and Dufour number. – Journal of Chemical Engineering, vol.145, No.2, pp.340-345.
56.
Mansour M.A., El-anssary N.F., Aly A.M. (2008). Effects of chemical reaction and thermally stratification on MHD free convection heat and mass transfer over a vertical stretching surface embedded in porous media considering Soret and Dufour number Journal of Chemical Engineering. 145 (2): 340-345.
57.
El-Aziz M.A. (2008): Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer by hydromagnetic three-dimensional free convection over a permeable stretching surface with radiation. – Phys. Lett. A, vol.372, pp.263-272.
58.
El-Aziz M.A. (2008). Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer by hydromagnetic three-dimensional free convection over a permeable stretching surface with radiation Phys. Lett. A. 372: 263-272.
59.
Afify A.A. (2009): Similarity solution in MHD: Effects of thermal-diffusion and diffusion-thermo on free convective heat and mass transfer over a stretching surface considering suction or injection. – Commun. Nonlinear Sci. Numer. Simul., vol.14, pp.2204-2214.
60.
Afify A.A. (2009). Similarity solution in MHD: Effects of thermal-diffusion and diffusion-thermo on free convective heat and mass transfer over a stretching surface considering suction or injection Commun. Nonlinear Sci. Numer. Simul. 14: 2204-2214.
61.
Alam M.S. and Ahammad M.U. (2011): Effects of variable chemical reaction and variable electric conductivity on free convective heat and mass transfer flow along an inclined stretching sheet with variable heat of Dufour and Soret effects. – Nonlinear Analysis: Modelling and Control, vol.16, No.1, pp.1-16.
62.
Alam M.S., Ahammad M.U. (2011). Effects of variable chemical reaction and variable electric conductivity on free convective heat and mass transfer flow along an inclined stretching sheet with variable heat of Dufour and Soret effects Nonlinear Analysis: Modelling and Control. 16 (1): 1-16.
63.
Sparrow E.M. and Cess R.D. (1978): Radiation Heat Transfer. – Augmented Edition, Hemisphere Publishing Corp, Washington, DC.
64.
Sparrow E.M., Cess R.D. (1978). Radiation Heat Transfer, Augmented Edition. Hemisphere Publishing Corp, Washington, DC.
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