HEAT AND MASS TRANSFER IN MAGNETOHYDRODYNAMICS (MHD) FLOW OVER A MOVING VERTICAL PLATE WITH CONVECTIVE BOUNDARY CONDITION IN THE PRESENCE OF THERMAL RADIATION

Yıl 2019, Cilt: 37 Sayı: 3, 1031 - 1053, 01.09.2020

B. Johnson Akınbo Bakai I. Olajuwon

Öz

This paper investigates heat and mass transfer in a Magnetohydrodynamic flow over a moving vertical plate with convective boundary condition in the presence of thermal radiation. Similarity method is used to transform the system of coupled non-linear partial differential equations, governing the flow, heat and mass transfer problems to a system of coupled non-linear ordinary differential equations. The resulting equation is then solved, using Homotopy Analysis Method (HAM). The effect of thermal radiation, Magnetic Parameter and all other parameters encountered in the course of the investigation were examined on the fluid flow, heat and mass transfer. The results show among all other obtained that higher values of radiation parameter pioneer the dominance of conduction over radiation and consequently depressed the thermal boundary layer thickness.

Anahtar Kelimeler

Vertical plate, similarity solution, magnetic field, thermal radiation, heat and mass transfer, homotopy analysis method (HAM)

Kaynakça

• [1] Das, S., Jana, R. N., and Chamkha, A. J., (2015) unsteady free convection flow past a vertical plate with heat and mass fluxes in the presence of thermal radiation. Journal of Applied fluid mechanics., 8, 845-854.
• [2] Das. K., (2010) Extract solution of MHD free convection flow and mass transfer near a moving vertical plate in presence of thermal radiation. African Journal of mathematical physics volume 8, 29-41.
• [3] Farooq, U., Zhao, Y. L., Hayat, T., Alsaed, A., and Liao, S. J., (2015), Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner-skan flow of nanofluid. www.elsevier.com/locate/compfluid
• [4] Ghara, N., Das, S., Maji, S. L., and Jana, R. N., (2012) Effect of radiation on MHD free convection flow past an impulsively moving vertical plate with ramped wall temperature. Am. J. Sci. ind. Res. 3, 376-386.
• [5] Gnaeneswara, R. M., (2014) influence of thermal radiation, viscous dissipation, and Hall current on MHD convection flow over a stretched vertical flat plate. Ain shams engineering journal, 5 169 – 175.
• [6] Hemalatha, E., and Bhaskar, R., (2015) Effect of thermal radiation and chemical reaction on MHD free convection flow past a moving vertical plate with a heat source and convective surface boundary condition. Pelagia Research Advanced in Applied Science Research. 6,128-143.
• [7] Idowu A. S., Dada M. S, and Jimoh A.(2013), Heat and Mass Transfer of Magnetohydrodynamic (MHD) and dissipative fluid flow past a moving vertical porous plate with variable suction, Mathematical theory and modeling. 3, 80-102.
• [8] Jhansi, R. K., Reddy, G. V. R., Murthy ch. V. R., and Murthy, M. V. R., (2015) heat and Mass transfer effects on MHD free convection flow over an inclined plate embedded in a porous medium. Int. J. Chem sci: 13, 1998 – 2016.
• [9] Lakshmi, R, Jayarami, K. R., Ramakrishna, K., and Reddy, G.V. R., (2014) Numerical Solution of MHD flow over a moving vertical porous plate with heat and Mass Transfer. Int. J.Chem. sci 12 (14), 1487 – 1499.
• [10] Liao S.J (2003), Beyond perturbation: an introduction to Homotopy Analysis Method. Boca Raton, Fla., USA: Chapman and Hall
• [11] Liao SJ.(2003) On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J. Fluid Mech., 488, 189–212.
• [12] Loganathan, P., Kannan, M., and Ganesan, P., (2011) Thermal Radiation effect on MHD flow over a moving semi-infinite Vertical cylinder. Int. Journal of Math. Analysis, 5, 257 – 274.
• [13] Makinde O. D, (2010), On MHD heat and Mass Transfer over a moving vertical plate with a corrective surface boundary condition. Can. J. Chem. Eng. 88, 983-990.
• [14] Mohammed, S. A., Mohammad, A, Md., Delowar, H. (2013) Heat and Mass transfer in MHD free convection flow over an inclined plate with hall current. Int. J. Eng. Sci. (IJES). 2, 81 – 88.
• [15] Narahari, M., and Ishaq (2011) Radiation effect in free convection flow near a moving vertical plate with Newtonian heating. J. Appl.Sci. 11, 1096 – 1104.
• [16] Nepal, C.R., Bishnu, P.G., and Litan, K.S., (2014), Unsteady MHD free convection flow along a vertical plate in the presence of radiative heat flux. Applied Mathematics 4, 77-85.
• [17] Olubode, K. K., Tosin, O., Adeola, J.O., Isaac, L. A., (2016), Homotopy Analysis of MHD free Convective Micropolar Fluid Flow Along a vertical surface embedded in Non-Darcian Thermally-Stratified Medium. Open Journal of Fluid Dynamic, 6, 198-221.
• [18] Opiyo, R. O., and Alfred, W. M., (2017), Numerical computation of steady Buoyancy Driven MHD heat and Mass Transit past an inclined infinite flat plate with sinusoidal surface Boundary conditions. Applied Mathematical Sciences. 11, 711 – 729.
• [19] Rajput, U. S. and Kumar S. (2012) Radiation effect on MHD flow past an impulsively started vertical plate with variable heat and Mass Transfer. Int. J. Applied Math. Mech 8, 66 – 85.
• [20] Rout, B.R.,, Parida, S.K., and Panda, S., (2013) MHD heat and mass transfer of chemical reaction fluid flow over a moving vertical plate in the presence of heat source with convective surface boundary condition. Hindawi Publishing Corporation, Int.Jour.of chem.Eng., Art.ID 296834,10pages. http://dx.doi.org/10.1155/2013/296834
• [21] Salem A. M. and Rania, F (2012) Effect of variable properties in MHD heat and Mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation. Chim. Phys. B. 21, 054701-054711
• [22] Sandeep, N., Vijaya, B. R. A., and Sugunamma, V., (2012) Effect of Radiation and Chemical reaction on transient MHD free convective flow over a vertical plate through porous media. Chem. and process. Eng. Research. 2, 1-9
• [23] Seethamahalakshmi, Reddy, G. V. R., and Prasad, B. D. C. N., (2011), Unsteady MHD free convection flow and mass transfer near a moving vertical plate in the presence of thermal radiation. Advance in Applied Science Research, 2, 261-269
• [24] Siva, R. S., Ali, J. C., and Anjan, K. S., (2016), Heat and mass transfer effects on MHD natural convection flow past an impulsively moving vertical plate with ramped temperature. American Journal of heat and mass transfer. 3,129-148
• [25] Stanford, S., and Sandile, S. M., (2009), Thermal Radiation effects on Heat and Mass transfer over an unsteady stretching surface. Mathematical Problem in Engineering, Hindawi Pub. Corp. ID965603, doi:10.1155/2009/965603.