Radiation and chemical reaction effects on MHD flow along a moving vertical porous plate

• Autorzy: Reddy G. V. R. , Reddy N. B. , Gorla R. S. R.

Identyfikatory

DOI

10.1515/ijame-2016-0010

• Języki publikacji: EN

Abstrakty

EN

This paper presents an analysis of the effects of magnetohydrodynamic force and buoyancy on convective heat and mass transfer flow past a moving vertical porous plate in the presence of thermal radiation and chemical reaction. The governing partial differential equations are reduced to a system of self-similar equations using the similarity transformations. The resultant equations are then solved numerically using the fourth order Runge-Kutta method along with the shooting technique. The results are obtained for the velocity, temperature, concentration, skin-friction, Nusselt number and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

Słowa kluczowe

EN

MHD; porous medium; thermal radiation; heat and mass transfer; chemical reaction

PL

magnetohydrodynamika; porowatość; promieniowanie cieplne; wymiana ciepła; wymiana masy; reakcja chemiczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 1
• Strony: 157--168
• Opis fizyczny: Bibliogr. 31 poz., wykr.

Twórcy

autor

Reddy G. V. R.

• Department of Mathematics, KL University Vaddeswaram, Guntur(Dt), 502522, INDIA

autor

Reddy N. B.

• Department of Mathematics, S.V University Tirupati, 517502, INDIA

autor

Gorla R. S. R.

• Department of Mechanical Engineering, University of Akron Akron, Ohio 44325 USA

Bibliografia

• [1] Merkin J.H. (1969): The effects of buoyancy forces on the boundary layer flow over semi-infinite vertical flat plate in a uniform free stream. – J. Fluid Mech., vol.35, pp.439–450.
• [2] Lloyd J.R. and Sparrow E.M. (1970): Combined forced and free convection flow on vertical surfaces. – Int. J. Heat Mass Transfer, vol.13, pp.434–438.
• [3] Wilks G. (1973): Combined forced and free convection flow on vertical surfaces. – Int. J. Heat Mass Transfer, vol.16, pp.1958–1964.
• [4] Raju M.S., Liu X.R. and Law C.K. (1984): A formulation of combined forced and free convection past horizontal and vertical surfaces. – Int. J. Heat Mass Transfer, vol.27, pp.2215–2224.
• [5] Raptis A. (1986): Flow through a porous medium in the presence of magnetic field. – Int. J. Energy Research, vol.10, pp.97-101.
• [6] 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.
• [7] 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.
• [8] Sattar M.A. and Hossain M.M. (1992): Unsteady hydromagnetic free convection flow with Hall current and mass transfer along an accelerated porous plate with time-dependent temperature and concentration. – Canadian J. Physics, vol.70, pp.369–374.
• [9] Sattar M.A. (1993): Unsteady hydromagnetic free convection flow with Hall current mass transfer and variable suction through a porous medium near an infinite vertical porous plate with constant heat flux. – Int. J. Energy Research, vol.17, pp.1–5.
• [10] Das U.N., Deka R.K. and Soundlgekar V.M. (1994): The effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. – Forschung in Inge, vol.80, pp.284-290.
• [11] 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.
• [12] 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.
• [13] Muthucumaraswamy R. (2002): Effect of a chemical reaction on a moving isothermal vertical surface with suction. – Acta Mechanica, vol.155, pp.65-70.
• [14] Kim J.Y. (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, pp.17–37.
• [15] 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.
• [16] Chanrakala P. and Antony Raj S. (2006): Radiation effects on MHD flow past an impulsively started infinite vertical plate with variable temperature. – Indian Journal of Mathematics, vol.48, pp.167-175.
• [17] Abdelkhalek M.M. (2007): Thermal radiation effects on hydromagnetic flow. – Computer Assisted Mechanics and Engineering Sciences, vol.14, pp.471-484.
• [18] Chaudhary R.C. and Arpita J. (2007): Combined heat and mass transfer effect on MHD free convection flow past an oscillating plate embedded in porous medium. – Romanian J. Physics, vol.52, pp.505–524.
• [19] Ramachandra Prasad V., Bhaskar Reddy N. and Muthucumaraswamy R. (2007): Radiation and mass transfer effects on two-dimensional flow past an impulsively started isothermal vertical plate. – Int. J. Thermal Sciences, vol.46, pp.1251-1258.
• [20] Samad M.A. and Rahman M.M. (2006): Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium. – Journal of Naval Architecture and Marine Engineering, vol.3, pp.7-14.
• [21] Mbeledogu I.U. and Ogulu A. (2007): Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer. – International Journal of Heat and Mass Transfer, vol.50, pp.1902-1908.
• [22] Prasad V.R. and Reddy N.B. (2008): Radiation effects on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium. – Journal of Energy Heat and Mass Transfer, vol.30, pp.57-68.
• [23] Mostafa A. and Mahmoud A. (2009): Thermal radiation effect on unsteady MHD free convection flow past a vertical plate vertical plate with temperature-dependent viscosity. – The Canadian Journal of Chemical Engineering, vol.87, pp.57-52.
• [24] Ibrahim F.S., Elaiw A.M. and Bakr A.A. (2008): Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi-infinite vertical permeable moving plate with heat source and suction. – Communication in Nonlinear Science and Numerical Simulation, vol.13, pp.1056-1066.
• [25] Mohammed Nasser El-Fayez F. (2012): Effects of chemical reaction on the unsteady free convection flow past an infinite vertical permeable moving plate with variable temperature. – Journal of Surface Engineered Materials and Advanced Technology, vol.2, pp.100-109.
• [26] Mohammed Ibrahim S. (2014): Unsteady MHD convective heat and mass transfer past an infinite vertical plate embedded in a porous medium with radiation and chemical reaction under the influence of Dufour and Soret effects. – Chemical and Process Engineering, vol.19, pp.25-38.
• [27] Uddin Z. and Kumar M. (2010): Radiation effect on unsteady MHD heat and mass transfer flow on a moving inclined porous heated plate in presence of chemical reaction. – International Journal of Mathematical Modeling, Simulation and Applications, vol.3, pp.155-163.
• [28] Brewster M.A. (1992): Thermal Radiative Transfer and Properties. – New York: John Wiley and Sons.
• [29] Singh A.K. and Soundalgekar V.M. (1990): Transient free convection in cold water past an infinite vertical porous plate. – International Journal of Energy Research, vol.14, pp.413-420.
• [30] Conte S.D. and Boor C. (1981): Elementary Numerical Analysis. – New York: Mc Graw Hill Book Co.
• [31] Jain M.K., Iyengar S.R.K. and Jain R.K. (1985): Numerical methods for scientific and engineering computation. – Wiley Eastern Ltd., New Delhi, India.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę