Magnetohydrodynamic Radiating and Chemically Reacting Fluid over an Infinite Vertical Surface

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Malapati, V. (2013). Magnetohydrodynamic Radiating and Chemically Reacting Fluid over an Infinite Vertical Surface. Asian Journal of Current Engineering and Maths, 2(6). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/532
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Abstract

ABSTRACT: An analysis is carried out to study the nonlinear MHD flow with heat and mass transfer characteristics of an electrically conducting, incompressible, viscous and Boussinesq fluid over a vertical oscillating porous permeable plate in presence of homogeneous chemical reaction of first order and thermal radiation effects. Here considered fluid is a gray, absorbing/emitting radiation, but a non-scattering medium. At time  , the plate temperature and concentration levels near the plate raised linearly with time. An approximate numerical solution for the flow problem has been obtained by solving the governing boundary layer equations using a closed analytical method. It has been found that, the fluid velocities as well as concentration profiles were decreased when the chemical reaction parameter increased. An increase in conduction radiation parameter is found to escalate temperatures and shear stress in the regime. Applications of the study arise in materials processing and solar energy collector systems. 

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References

[1] E. L. Cussler, “Diffusion: Mass Transfer in Fluid Systems,” 2nd ed, Cambridge University Press, Cambridge, 1998. [2] P.L.Chambre, J. D. Young, “On the Diffusion of Chemically Reactive Species in a Laminar Boundary Layer Flow,” Phys. Fluids 1, pp. 48-54, 1958. [3] K. Vajravelu, “Hydrodynamic Flow and Heat Transfer over Continuous, Moving Porous, Flat Surface”, ActaMechanica, 64 , pp.179-185,1986 [4] A. Chamkha,“MHD Flow of Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/ Absorption and a Chemical Reaction,” Int. Comm. Heat Mass Transfer 30, pp. 413-422, 2003. [5] B. C. Sakiadis, “Boundary layer behavior on continuous solid surfaces: II boundary layer on a continuous solid flat surfaces,”AiChE journal, 7, pp.221-225, 1961. [6] V. M. Soundalgekar, S. K. Gupta, N.S. Birajdar, “Effects of mass transfer and free convection currents on MHD Stokes problem for a vertical plate”, Nuclear Engg Des, pp. 339-346,1979. [7] V. M. Soundalgekar, M. R. Patil, M. D. Jahagirdar ,“MHD stokes problem for a vertical plate with variable temperature,” Nuclear Engg Des, 39-42,1981. [8] M.Kumari, G. Nath, “Devolvement of two dimensional boundary layer with an applied magnetic field due to an impulsive motion,” Indian journal of pure and applied mathematics30, pp. 695-708, 1999. [9] W. G. England, A. F.Emery,“Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas,” Journal of Heat transfer 91, pp. 37-44,1969. [10] V. M. Soundalgekar, H.S.Takhar,“Radiation effects on free convection flow past a semi-infinite vertical plate,” modeling, measurement and control, B.51,pp. 31-40,1993. [11] M.A.Hossain, H.S.Takhar,“Radiation effect on mixed convection along a vertical plate with uniform surface temperature”,Heat and mass transfer,31, pp.243-248,1996. [12] A. Raptis, C. Perdikis, “Radiation and free convection flow past a moving plate”, International journal of Applied Mechanics and Engineering 4, pp.817-821,1999. [13] S. Ahmed, I-Chung. Liu, “Mixed convective three-dimensional heat and mass transfer flow with transversely periodic suction velocity,” International journal of Applied Mathematics and Mechanics 6, pp. 58-73, 2010. [14] S. Ahmed, “Induced magnetic field with radiating fluid over aporous vertical plate: Analytical study”, Journal of Naval Architecture and Marine Engineering 7, pp. 83-94,2010 [15] S. Ahmed, “A study of induced magnetic field with chemically reacting and radiating fluid past a vertical permeable plate,” Journal of Engineering Physics and Thermo physics 84, No. 6, pp. 1360-1368,2011. [16] S. Ahmed, J. Zueco, “Combined heat and mass transfer by mixed convection MHD flow along a porous plate with chemical reaction in presence of heat source,” Applied Mathematics and Mechanics, 31 No. 10 , pp.1217-1230,2010. [17] S. Ahmed, A. J. Chamkha, “Effects of chemical reaction, heat and mass transfer and radiation on MHD flow along a vertical porous wall in the presence of induced magnetic field, International Journal of Industrial Mathematics,” (In Press),2010. [18] B. S. Jaiswal, V. M. Soundalgekar, “Oscillating plate temperature effects on a flow past an infinite vertical porous late with constant suction and embedded in a porous medium, Heat and Mass Transfer”37 ,pp.125-131,2001. [19] A. G. V. Kumar, S. V. K. Verma, “Thermal radiation and mass transfer effects on MHD flow past a vertical oscillating plate with variable temperature effects variable mass diffusion,” International Journal of Engineering 3 , pp.493-499,2011.

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References

[1] E. L. Cussler, “Diffusion: Mass Transfer in Fluid Systems,” 2nd ed, Cambridge University Press, Cambridge, 1998.
[2] P.L.Chambre, J. D. Young, “On the Diffusion of Chemically Reactive Species in a Laminar Boundary Layer Flow,” Phys. Fluids 1, pp. 48-54, 1958.
[3] K. Vajravelu, “Hydrodynamic Flow and Heat Transfer over Continuous, Moving Porous, Flat Surface”, ActaMechanica, 64 , pp.179-185,1986
[4] A. Chamkha,“MHD Flow of Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/ Absorption and a Chemical Reaction,” Int. Comm. Heat Mass Transfer 30, pp. 413-422, 2003.
[5] B. C. Sakiadis, “Boundary layer behavior on continuous solid surfaces: II boundary layer on a continuous solid flat surfaces,”AiChE journal, 7, pp.221-225, 1961.
[6] V. M. Soundalgekar, S. K. Gupta, N.S. Birajdar, “Effects of mass transfer and free convection currents on MHD Stokes problem for a vertical plate”, Nuclear Engg Des, pp. 339-346,1979.
[7] V. M. Soundalgekar, M. R. Patil, M. D. Jahagirdar ,“MHD stokes problem for a vertical plate with variable temperature,” Nuclear Engg Des, 39-42,1981.
[8] M.Kumari, G. Nath, “Devolvement of two dimensional boundary layer with an applied magnetic field due to an impulsive motion,” Indian journal of pure and applied mathematics30, pp. 695-708, 1999.
[9] W. G. England, A. F.Emery,“Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas,” Journal of Heat transfer 91, pp. 37-44,1969.
[10] V. M. Soundalgekar, H.S.Takhar,“Radiation effects on free convection flow past a semi-infinite vertical plate,” modeling, measurement and control, B.51,pp. 31-40,1993.
[11] M.A.Hossain, H.S.Takhar,“Radiation effect on mixed convection along a vertical plate with uniform surface temperature”,Heat and mass transfer,31, pp.243-248,1996.
[12] A. Raptis, C. Perdikis, “Radiation and free convection flow past a moving plate”, International journal of Applied Mechanics and Engineering 4, pp.817-821,1999.
[13] S. Ahmed, I-Chung. Liu, “Mixed convective three-dimensional heat and mass transfer flow with transversely periodic suction velocity,” International journal of Applied Mathematics and Mechanics 6, pp. 58-73, 2010.
[14] S. Ahmed, “Induced magnetic field with radiating fluid over aporous vertical plate: Analytical study”, Journal of Naval Architecture and Marine Engineering 7, pp. 83-94,2010
[15] S. Ahmed, “A study of induced magnetic field with chemically reacting and radiating fluid past a vertical permeable plate,” Journal of Engineering Physics and Thermo physics 84, No. 6, pp. 1360-1368,2011.
[16] S. Ahmed, J. Zueco, “Combined heat and mass transfer by mixed convection MHD flow along a porous plate with chemical reaction in presence of heat source,” Applied Mathematics and Mechanics, 31 No. 10 , pp.1217-1230,2010.
[17] S. Ahmed, A. J. Chamkha, “Effects of chemical reaction, heat and mass transfer and radiation on MHD flow along a vertical porous wall in the presence of induced magnetic field, International Journal of Industrial Mathematics,” (In Press),2010.
[18] B. S. Jaiswal, V. M. Soundalgekar, “Oscillating plate temperature effects on a flow past an infinite vertical porous late with constant suction and embedded in a porous medium, Heat and Mass Transfer”37 ,pp.125-131,2001.
[19] A. G. V. Kumar, S. V. K. Verma, “Thermal radiation and mass transfer effects on MHD flow past a vertical oscillating plate with variable temperature effects variable mass diffusion,” International Journal of Engineering 3 , pp.493-499,2011.

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