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MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS

Year 2013, Volume: 5 Issue: 3, 38 - 52, 01.09.2013

Abstract

This paper analyses the mixed convection flow of an incompressible micropolar fluid along a semi-inŞnite vertical plate with uniform heat and mass flux in the presence of transverse magnetic Şeld. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using local similarity transformations and then solved numerically using the Keller-box method. The non-dimensional velocity components, microrotation, temperature and concentration are presented graphically for various values of magnetic parameter, Hall parameter, Ion-slip parameter, Dufour and Soret numbers. In addition, the Nusselt number, the Sherwood number, the skin-friction coefficient, the wall couple stress are shown in a tabular form

References

  • [1] Beg O. A., Bhargava R., Rawat S., Takhar H. S., Beg T. A., A study of steady bouncy driven dissipative micropolar free convection heat and mass transfer in Darcian porous regime with chemical reaction. Nonlinear Analysis: Modelling Control, 12:157-180, 2007.
  • [2] Anna K., Louay M. and Pedro J., A Simpli_ed Model of Heat and Mass Transfer Between Air and Falling-Film Desiccant in a Parallel-Plate Dehumidifier, J of heat tran, Vol. 131 / 052001-1, 2009.
  • [3] Lloyd, J. R. and Sparrow, E. M., Combined Forced and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transfer, Vol. 1 3, pp. 434-438, 1970.
  • [4] Mahdy A., Mixed convection heat and mass transfer on a vertical wavy plate embedded in a saturated porous media (pst/psmc), Int. J. of Appl. Math and Mech. 5(7), pp. 88 - 97, 2009.
  • [5] Alam M. S. and Rahman M. M, Dufour and Soret effects on mixed convection flow past a Vertical porous at plate with variable suction, Nonlinear analysis: Modeling and Control, 11 , 3-12, 2006.
  • [6] Gorla, R. S. R., Mixed Convection in a Micropolar Fluid Along a Vertical Surface with Uniform Heat Flux, Int. J. Eng. Sci., Vol. 30, pp. 349-358,1 992.
  • [7] Kafoussias N. G. and Williams E. W., Thermal-diffusion and diffusion-thermo effects on Mixed free forced convective and mass transfer boundary layer flow with temperature dependent viscosity, International Journal of Engineering Science, vol. 33, no. 9, pp. 13691384, 1995.
  • [8] Awad F., and Sibanda P., Dufour and Soret effects on heat and mass transfer in a micropolar fluid in a horizontal channel. WSEAS Transaction on heat and mass transfer, 5:165-177, 2010.
  • [9] Srinivasacharya D and Ramreddy D, Mixed convection heat and mass transfer in a micropolar fluid with soret and Dufour effect, Advances in App. Math and Mech. 3(4), 2011, 389-400.
  • [10] Hossian, M. A. and Ahmed, M., MHD Forced and Free Convection Boundary Layer Near the Leading Edge, Int. J. Heat Mass Transfer, Vol. 33(3), pp. 571-575, 1990.
  • [11] Chamkha J, "MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with hall effects," Applied Mathematical Modelling, vol. 21, no. 10, pp. 603-609, 1997.
  • [12] Seddeek M. A., The effects of Hall and ion-slip currents on a magneto-micropolar fluid and the heat transfer over a non-isothermal stretching sheet with suction and blowing. Proc. R. Soc, 1, 457, (2001).
  • [13] Shateyi S., Motsa S. S., Sibanda P., The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media, Mathematical Problems in Engineering Volume 2010, Article ID 627475, 20 pages doi:10.1155/2010/627475.
  • [14] Salem M., and Abd El-Aziz M, "Effect of hall currents and chemical reaction on Hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption," Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236-1254, 2008.
  • [15] Motsa S. S. and Shateyi S., The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique, Vol 2012, Article ID 689015, 30 pages.
  • [16] Nasser Elgazery. S., The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity, Communications in Nonlinear Science and Numerical Simulation 14 (2009) 1267-1283.
  • [17] Ericksen J.C. Anisotropic uids. Arch. Ration. Mech. Anal. 4: 231-237, 1960.
  • [18] Ericksen J.C. Transversely isotropic uids. Colloid Polym. Sci. 173: 117-122, 1960.
  • [19] Hoyt J.W., Fabula A.G. US Naval Ordinance Test Station Report, 1964
  • [20] Eringen A.C., Theory of Micropolar Fluids. J. Math. Mech. 16: 1-18, 1966.
  • [21] Eringen A.C., Theory of Thermo micro Fluids. J. Math. Anal. Appl. 38: 480-496, 1972.
  • [22] Cebeci T. and Bradshaw P., Physical and computational aspects of convective heat transfer, Springer-Verlag, New York, 1984.
  • [23] Lin H. T. and Lin L. K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Pradtl number. Int. J. Heat Mass Transfer, 30:1111-1118,1987.
  • [24] Yih K. A., MHD forced convection flow adjacent to a non-isothermal wedge. Int. Commun. Heat Mass Transfer, 26:819827, 1999.
Year 2013, Volume: 5 Issue: 3, 38 - 52, 01.09.2013

Abstract

References

  • [1] Beg O. A., Bhargava R., Rawat S., Takhar H. S., Beg T. A., A study of steady bouncy driven dissipative micropolar free convection heat and mass transfer in Darcian porous regime with chemical reaction. Nonlinear Analysis: Modelling Control, 12:157-180, 2007.
  • [2] Anna K., Louay M. and Pedro J., A Simpli_ed Model of Heat and Mass Transfer Between Air and Falling-Film Desiccant in a Parallel-Plate Dehumidifier, J of heat tran, Vol. 131 / 052001-1, 2009.
  • [3] Lloyd, J. R. and Sparrow, E. M., Combined Forced and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transfer, Vol. 1 3, pp. 434-438, 1970.
  • [4] Mahdy A., Mixed convection heat and mass transfer on a vertical wavy plate embedded in a saturated porous media (pst/psmc), Int. J. of Appl. Math and Mech. 5(7), pp. 88 - 97, 2009.
  • [5] Alam M. S. and Rahman M. M, Dufour and Soret effects on mixed convection flow past a Vertical porous at plate with variable suction, Nonlinear analysis: Modeling and Control, 11 , 3-12, 2006.
  • [6] Gorla, R. S. R., Mixed Convection in a Micropolar Fluid Along a Vertical Surface with Uniform Heat Flux, Int. J. Eng. Sci., Vol. 30, pp. 349-358,1 992.
  • [7] Kafoussias N. G. and Williams E. W., Thermal-diffusion and diffusion-thermo effects on Mixed free forced convective and mass transfer boundary layer flow with temperature dependent viscosity, International Journal of Engineering Science, vol. 33, no. 9, pp. 13691384, 1995.
  • [8] Awad F., and Sibanda P., Dufour and Soret effects on heat and mass transfer in a micropolar fluid in a horizontal channel. WSEAS Transaction on heat and mass transfer, 5:165-177, 2010.
  • [9] Srinivasacharya D and Ramreddy D, Mixed convection heat and mass transfer in a micropolar fluid with soret and Dufour effect, Advances in App. Math and Mech. 3(4), 2011, 389-400.
  • [10] Hossian, M. A. and Ahmed, M., MHD Forced and Free Convection Boundary Layer Near the Leading Edge, Int. J. Heat Mass Transfer, Vol. 33(3), pp. 571-575, 1990.
  • [11] Chamkha J, "MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with hall effects," Applied Mathematical Modelling, vol. 21, no. 10, pp. 603-609, 1997.
  • [12] Seddeek M. A., The effects of Hall and ion-slip currents on a magneto-micropolar fluid and the heat transfer over a non-isothermal stretching sheet with suction and blowing. Proc. R. Soc, 1, 457, (2001).
  • [13] Shateyi S., Motsa S. S., Sibanda P., The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media, Mathematical Problems in Engineering Volume 2010, Article ID 627475, 20 pages doi:10.1155/2010/627475.
  • [14] Salem M., and Abd El-Aziz M, "Effect of hall currents and chemical reaction on Hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption," Applied Mathematical Modelling, vol. 32, no. 7, pp. 1236-1254, 2008.
  • [15] Motsa S. S. and Shateyi S., The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique, Vol 2012, Article ID 689015, 30 pages.
  • [16] Nasser Elgazery. S., The effects of chemical reaction, Hall and ion-slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity, Communications in Nonlinear Science and Numerical Simulation 14 (2009) 1267-1283.
  • [17] Ericksen J.C. Anisotropic uids. Arch. Ration. Mech. Anal. 4: 231-237, 1960.
  • [18] Ericksen J.C. Transversely isotropic uids. Colloid Polym. Sci. 173: 117-122, 1960.
  • [19] Hoyt J.W., Fabula A.G. US Naval Ordinance Test Station Report, 1964
  • [20] Eringen A.C., Theory of Micropolar Fluids. J. Math. Mech. 16: 1-18, 1966.
  • [21] Eringen A.C., Theory of Thermo micro Fluids. J. Math. Anal. Appl. 38: 480-496, 1972.
  • [22] Cebeci T. and Bradshaw P., Physical and computational aspects of convective heat transfer, Springer-Verlag, New York, 1984.
  • [23] Lin H. T. and Lin L. K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Pradtl number. Int. J. Heat Mass Transfer, 30:1111-1118,1987.
  • [24] Yih K. A., MHD forced convection flow adjacent to a non-isothermal wedge. Int. Commun. Heat Mass Transfer, 26:819827, 1999.
There are 24 citations in total.

Details

Other ID JA66BY27BV
Journal Section Articles
Authors

Mekonnen Shiferaw Ayano This is me

Publication Date September 1, 2013
Published in Issue Year 2013 Volume: 5 Issue: 3

Cite

APA Ayano, M. S. (2013). MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. International Journal of Engineering and Applied Sciences, 5(3), 38-52.
AMA Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. September 2013;5(3):38-52.
Chicago Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences 5, no. 3 (September 2013): 38-52.
EndNote Ayano MS (September 1, 2013) MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. International Journal of Engineering and Applied Sciences 5 3 38–52.
IEEE M. S. Ayano, “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”, IJEAS, vol. 5, no. 3, pp. 38–52, 2013.
ISNAD Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences 5/3 (September 2013), 38-52.
JAMA Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. 2013;5:38–52.
MLA Ayano, Mekonnen Shiferaw. “MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS”. International Journal of Engineering and Applied Sciences, vol. 5, no. 3, 2013, pp. 38-52.
Vancouver Ayano MS. MIXED CONVECTION FLOW MICROPOLAR FLUID OVER A VERTICAL PLATE SUBJECT TO HALL AND ION-SLIP CURRENTS. IJEAS. 2013;5(3):38-52.

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