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Abstrakty
This paper studies the effect of magneto hydrodynamics on unsteady free convection between a pair of infinite vertical Couette plates. The temperature of the plates and concentration between the plates vary with time. Convection between the plates is considered in the presence of thermal radiation and chemical reaction. The solution is obtained using perturbation techniques. These techniques are used to transform nonlinear coupled partial differential equations to a system of ordinary differential equations. The resulting equations are solved analytically. The solution is expressed in terms of power series with some small parameter. The effect of various parameters, viz., velocity, temperature and concentration, has been discussed. Mat lab code simulation study is carried out to support the theoretical results. The result shows that as the thermal radiation parameter R increases, the temperature decreases near the moving porous plate while it approaches to a zero in the region close to the boundary layer of the stationary plate. Moreover, as the modified Grashof number, i.e., based on concentration difference, increases, the velocity of the fluid flow increases hence the concentration decreases. An increase in both the chemical reaction parameter and Schmidt number results in decreased concentration.
Rocznik
Tom
Strony
1059--1073
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
- School of Mathematical and Statistical Sciences, Hawassa University ETHIOPIA
autor
- School of Mathematical and Statistical Sciences, Hawassa University ETHIOPIA
Bibliografia
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- [2] Ibid (1953): New aspects of natural convection heat transfer. Trans. Am. Soc. Mec. Engrs., vol.75, pp.1287-1290.
- [3] Soundalgekar V.M. (1972): Viscous dissipation effects on unsteady free convective flow past an infinite vertical porous plate with constant suction. Int. J. Heat Mass Transfer, vol.15, pp.1253-1261.
- [4] Martynenko O.G., Berezovsky A.A. and Sokovishin Yu.A. (1984): Laminar free convection from a vertical plate. Int. J. Heat Mass Transfer, vol.27, pp.869-881.
- [5] Harris S.D., Ingham D.B. and Pop I. (1997): Free convection from a vertical plate in a porous medium subjected to a sudden change in surface temperature. Int. Comm. Heat Mass Transfer, vol.24, pp.543-552.
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- [7] Mansour M.H. (1990): Radiative and free convection effects on the oscillatory flow past a vertical plate. Astrophysics and Space Science, vol.166, pp.26-75.
- [8] Raptis A. and Kafoussias N.G. (1982): MHD free convection flow and mass transfer through porous medium bounded by an infinite vertical porous plate with constant heat flux. – Canadian J. Physics, vol.60, pp.1725–1729.
- [9] Abdus Sattar M.D. and Hamid Kalim M.D. (1996): Unsteady free-convection interaction with thermal radiation In a boundary layer flow past a vertical porous plate. J. Mathematics and Physical Sciences, vol.30, pp.25-37.
- [10] Bakier A.Y. and Gorla R.S.R. (1996): Thermal radiation effects on horizontal surfaces in saturated porous medium. Transport Porous Media, vol.23, pp.357-61.
- [11] Makinde O.D. (2005): Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate. Int. Communications on Heat and Mass Transfer, vol.32, pp.1411-1419.
- [12] Abdelkhalek M.M. (2007): Thermal radiation effects on hydromagnetic flow. Computer Assisted Mechanics and Engineering Sciences, vol.14, pp.471-484.
- [13] Greenspan H.P. and Carrier G.F. (1959): the MHD flow past a flat plate. J. Fluid Mech., vol.6, pp.77-96.
- [14] Attia H.A. and Kotab N.A. (1996): MHD flow between two parallel plates with heat transfer. Acta Mech., vol.117, pp.215-220.
- [15] Hossain M.A., Das S.K. and Pop I. (1998): Heat transfer response of MHD free convection flow along a vertical plate to surface temperature oscillation. Int. J. Non-Linear Mech., vol.33, pp.541-53.
- [16] Sharma B.K., Sharma P.K. and Chaudhary R.C. (2009): Effect of fluctuating surface temperature and concentration on unsteady convection flow past an infinite vertical plate with constant suction. Heat Transfer Research, vol.40, No.6, pp.1-15.Unauthenticated
- [17] Sharma P.K., Sharma B.K. and Chaudhary R.C. (2007): Unsteady free convection oscillatory Couette flow through a porous Medium with periodic wall temperature. Tamkang Journal of Mathematics, vol.38, pp.93-102.
- [18] Sharma P.K. and Singh Ch. (2013): Effect of MHD and thermal diffusion on natural convection oscillatory flow past plate with viscous heating. Math. Sci. Lett., vol.2, No.2, pp.79-86.
- [19] Hossain M.A., Alim M.A. and Rees D.A.S. (1999): The effect of radiation on free convection from a porous vertical plate. Int. J. Heat Mass Transfer, vol.42, pp.181-91.
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- [22] Sharma P.K. and Dutt M. (2014.): MHD oscillatory free convection flow past parallel plates with periodic temperature and concentration. Universal Journal of Applied Mathematics, vol.2, No.7, pp.264-75, Doi: 10.13189/ujam.2014,020702.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0fcfb58c-a331-4ce8-8f6b-e6bbc92f3ac6