Radiation and chemical reaction effects on unsteady MHD free convection parabolic flow past an infinite isothermal vertical plate with viscous dissipation

• Autorzy: Reddy B. Prabhakar

Identyfikatory

DOI

10.2478/ijame-2019-0022

• Języki publikacji: EN

Abstrakty

EN

The numerical investigation of the effects of radiation and chemical reaction on an unsteady MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical porous plate taking into account the viscous dissipation effect has been carried out. The fluid is considered a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing equations for this investigation are solved numerically by applying the Ritz finite element method. Numerical results for the velocity profiles, temperature profiles and concentration profiles as well as the skin-friction are presented through graphs and tables for different values of the physical parameters involved. Results obtained show a decrease in the temperature and velocity in the boundary layer as the radiation parameter increased. The velocity increases with an increase in the thermal and mass Grashof numbers and decreases with an increase in the magnetic parameter. Further, the concentration and velocity decreases with increasing the Schmidt number and chemical reaction parameter. These findings are in very good agreement with the studies reported earlier.

Słowa kluczowe

EN

radiation parameter; chemical reaction parameter; porous medium; MHD; free convection; isothermal vertical plate

PL

promieniowanie; reakcja chemiczna; magnetohydrodynamika; swobodna konwekcja; płyta pionowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 2
• Strony: 343--358
• Opis fizyczny: Bibliogr. 25 poz., wykr.

Twórcy

autor

Reddy B. Prabhakar

• College of Natural and Mathematical Sciences The University of Dodoma P. Box. No: 338, Dodoma, TANZANIA
• Geethanjali College of Engineering and Technology Cheeryal (V), Keesara (M), Medchal (Dist) - 501301 Telangana, INDIA

Bibliografia

• [1] Muthucumaraswamy R. and Janakiraman B. (2006): MHD and radiation effects on moving isothermal vertical plate with variable mass diffusion. −Theoret. Appl. Mech., vol.33, pp.17-29.
• [2] Shanker R.T. and Gnaneshwar R.M. (2007): Radiation effects on MHD flow past an impulsively started infinite vertical plate through a porous medium with variable temperature and mass diffusion. − J. Pure and Appl. Phys., vol.19, No.3, pp.191-200.
• [3] Bear J. (1998): Dynamics of Fluids in Porous Media. − New York: Dover.
• [4] Kaviany M. (1993): Principles of Heat Transfer in Porous Media. − New York: MacGraw-Hill.
• [5] Ahmed N. and Sarmah H.K. (2009): Thermal radiation effects on a transient MHD flow with mass transfer past an impulsively fixed infinite vertical plate. −Int. J. Appl. Math and Mech., vol.5, No.5, pp.87-98.
• [6] Mahmoud M.A.A. (2009): Thermal radiation effects on unsteady MHD free convection flow past a vertical plate with temperature dependent viscosity. −Canadian J. Chem. Engg, vol.87, pp.47-52.
• [7] Mukhopadhyay S. (2009): The effects of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium. − Int. J. Heat and Mass Transfer, vol.52, pp.3261-3265.
• [8] Sharma S. and Deka R.K. (2012): Thermal radiation and oscillating plate temperature effects on MHD unsteady flow past a semi-infinite porous vertical plate under and chemical reaction. − Int. J. Phys. and Math. Sci, vol.2, No.2, pp.33-52.
• [9] Muralidharan M. and Muthucumaraswamy R. (2013): Radiation effects on linearly accelerated plate with variable mass diffusion in the presence of magnetic field. − Applied Mathematical Science, vol.7, No.113, pp.5645-5656.
• [10] Muthucumaraswamy R. and Ganesan P. (2001): Effect of the chemical reaction and injection on flow characteristics in an unsteady upward motion of an isothermal plate. − J. Appl. Mech. Tech. Phys, vol.42, No.4, pp.665-671.
• [11] Chamkha A.J. (2003): MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction. − Int. Commun. Heat and Mass Transfer, vol.30, No.3, pp.413-422.
• [12] Kandasamy R., Periasamy K. and Prabhu K.K. (2005): Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection. − Int. J. Heat and Mass Transfer, vol.48, No.7, pp.1388-1394.
• [13] Ibrahim F.S, Elaiw A.M. and Bakr A.A. (2008): Effects of 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. − Commun. in Non-Linear Sci. Numerical Simulation, vol.13, No.6, pp.1056-1066.
• [14] Muthucumaraswamy R. and Janakiraman B. (2008): Mass transfer effects on isothermal vertical oscillating plate in the presence of chemical reaction. − Int. J. Appl. Math and Mech., vol.4, No.1, pp.66-74.
• [15] Mahapatra N., Dash G.C. Panda S. and Acharya M. (2010): Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface. − J. Eng. Phys and Thermo-Phys, vol.83, No.1, pp.130-140.
• [16] Mohamed R.A., Osman N.A.N. and Abo-Dahadb S.M. (2013): Unsteady MHD double-diffusive convection boundary layer flow past a radiative hot vertical surface in a porous media in the presence of chemical reaction and heat sink. − Meccanica, vol.48, pp.931-941.
• [17] Muthucumaraswamy R. and Sivakaumar P. (2016): MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction. − Int. J. Appl. Mech. and Engg, vol.21, No.1, pp.95-105.
• [18] Reddy J.N. (2005): An introduction to the finite element method. − 3rd Ed., New York: Mac-Graw Hill.
• [19] Gebhart B. (1962): Effects of viscous dissipation in natural convection. − Journal of Fluid Mechanics, vol.14, pp.225-232.
• [20] Gebhart B. and Mollendorf J. (1969): Viscous dissipation in external natural flows. − Journal of Fluid Mechanics, vol.38, pp.79-107.
• [21] Soundalgekar V.M. (1972): Viscous dissipation effects on unsteady free convective flow past an infinite vertical porous plate with constant suction. − Int. J. Heat and Mass Transfer, vol.15, pp.1253-1261.
• [22] Gupta A. S, Pop I and Soundalgekar V. M. (1979): Free convection effects of the flow past an accelerated vertical plate in an incompressible dissipative fluid. − Rev. Rom. Sci. Techn-Mec. Apl., vol.24, pp.561-568.
• [23] Takhar H.S., Beg O.A. and Kumari M. (1998): Computational analysis of coupled radiation-convection dissipation non-gray gas flow in a non-Darcy porous medium using the Keller-Box implicit difference scheme. − Int. J. Energy Res, vol.22, pp.141-159.
• [24] Zueco Jordan J. (2007): Network simulation method applied to radiation and viscous dissipation effects on MHD unsteady free convection over vertical porous plate. − Appl. Mathematical Modeling, vol.31, No.20, pp.2019-2033.
• [25] Prabhakar Reddy B. (2016): Mass transfer effects on an unsteady MHD free convective flow of an incompressible viscous dissipative fluid past an infinite vertical porous plate. − Int. J. Appl. Mech. and Eng., vol.21, No.1, pp.143-153.