EFFECT OF CHEMICAL REACTION ON MHD FLOW WITH HEAT AND MASS TRANSFER PAST A POROUS PLATE IN THE PRESENCE OF VISCOUS DISSIPATION
DOI:
https://doi.org/10.48165/Keywords:
MHD, chemical reaction, viscous dissipation, Soret number, Nusselt number, Eckert numberAbstract
An attempt is made to study an unsteady MHD free convective flow with heat and mass transfer past a semi-infinite vertical porous plate immersed in a porous medium. The presence of viscous dissipation and chemical reaction are taken into account. It is assumed that the plate is moved with uniform velocity in the direction of fluid flow. Viscous dissipation term lends nonlinearity in the governing equations. Applying perturbation technique, the solutions for velocity, temperature and concentration are obtained. The effect of various parameters such as Reynold number(Rc), Thermal Grashof number(Gr), Mass Grashof number (Gc), Schmidt number (Sc) etc. on velocity, temperature and concentration are shown through graphs. Applications of the present study are shown in material processing systems and different chemical industries. In the physical realm, many irreversible processes are present. Some examples are heat flow through a thermal resistance, fluid flow through a flow resistance, chemical reactions etc. The irreversible process by means of which the work done by a fluid on adjacent layers due to the action of shear forces is transformed into heat is defined as viscous dissipation. It can be seen in many places such as in hydraulic engineering, waves or oscillations etc. viscous dissipation has different applications in various industries.
References
. Sapieszko, R.S. and Matijevi, E. (1980). Preparation of well-defined colloidal particles by thermal decomposition of metal chelates. I. Iron oxides, J. Collo. Interf. Sci., 74(2), 405-422. [2]. Taniguchi, S. and Kikuchi, A. (1992). Flow control of liquid iron by magnetic shield in a high frequency induction furnace, Tetsu-to-Hagane, 78(5), 753-760.
. Forsberg, C.W. (2003). Hydrogen, nuclear energy and the advanced high-temperature reactor, Int. J. Hydro. Energy, 28(10), 1073-1081.
. Yildiz, B. and Kazimi, M.S. (2006). Efficiency of hydrogen production systems using alternative nuclear energy technologies, Int. J. Hydro. Energ, 31(1), 77-92.
. Gupta, A.S. (9160). Steady and transient free convection of an electrically conducting fluid from a vertical plate in the presence of a magnetic field, Applied Scientific Research, Vol. 9, No. 1, 319–333. [6]. Singh, A.K. and Kumar, N. (1984). Free-convection flow past an exponentially accelerated vertical plate, Astrophysics and Space Science, Vol. 98, No. 2, 245–248.
. Jha, B.K., Prasad, R. and Rai, S. (1991). Mass transfer effects on the flow past an exponentially accelerated vertical plate with constant heat flux, Astrophysics and Space Science, Vol. 181, No. 1, 125–134.
. Ahmed, S.F., Das, M.K. and Ali, L.E. (2015). Analytical study on unsteady MHD free convection and mass transfer flow past a vertical porous plate, American Journal of Applied Mathematics, Vol.3, No.2,.64-74.
. Chamkha, A.J. and Aly, A.M. (2010). Heat and mass transfer in stagnation point flow of a polar fluid towards a stretching surface in porous media in the presence of Soret, Dufour and chemical reaction effects, Chem. Eng. Commun., 198 (2), 214–234.
. Aurangzaib, A.R.M., Kasim, N.F. and Shafie, Mohammad S. (2012). Effect of thermal stratification on MHD free convection with heat and mass transfer over an unsteady stretching surface with heat source, Hall current and chemical reaction, Int. J. Adv. Eng. Sci. Appl. Math., 4 (3), 217–225.
. Abd El-Aziz, M. (2014). Effect of time-dependent chemical reaction on stagnation point flow and heat transfer over a stretching sheet in a nanofluid, Phys. Sci., 89, Article ID 085205.
. Pal, D. and Mandal, G. (2014). Influence of thermal radiation on mixed convection heat and mass transfer stagnation-point flow in nanofluids over stretching/shrinking sheet in a porous medium with chemical reaction, Nuclear Eng. Design, 273, 644–652.
. Pal, D. and Mandal, H. (2011). MHD non-Darcian mixed convection heat and mass transfer over a non- linear stretching sheet with Soret–Dufour effects and chemical reaction, Int. Commun. Heat Mass Transf., 38, 463–467.
. Mahajan, R.L. and Gebhart, B.B. (1989). Viscous dissipation effects in Buoyancy – Induced flows, Int. J. Heat Mass Transfer, 32, 7, 1380 – 1382.
. Israel – Cookey, C., Ogulu, A. and Omubo – Pepple, V.M. (2003). The influence of viscous dissipation and radiation on unsteady MHD free convection flow past an infinite heated vertical plate in a porous medium with time depedent suction, Int. J. Heat Mass Transfer, 46, 13, 2305 – 2311.
. Zueco Jordan, J. (2007). Network Simulation Method Applied to Radiation and Dissipation Effects on MHD Unsteady Free Convection over Vertical Porous Plate, Appl. Math. Modelling, 31 , 20, 2019 – 2033.
. Suneetha, S., Bhaskar Reddy, N. and Ramachandra Prasad, V. (2008). The thermal radiation effects
on MHD free convection flow past an impulsively started vertical plate with variable surface temperature and concentration, Journal of Naval Architecture and Marine Engineering, 2, 57– 70. [18]. Suneetha, S., Bhaskar Reddy, N. and Ramachandra Prasad, V. (2009). Radiation and mass transfer effects on MHD free convection flow past an impulsively started isothermal vertical plate with dissipation, Thermal Science, 13 , 2, 71 – 181.
. Kumar. Hitesh (2009). Radiative Heat Transfer with Hydro magnetic flow and viscous dissipation over a stretching surface in the presence of variable heat flux, Thermal Science, 13, 2, 163 – 169.