Radiation and Heat Source Effects on MHD Free Convection Flow over an Inclined Porous Plate in the Presence of Viscous Dissipation
American Journal of Applied Mathematics
Volume 8, Issue 4, August 2020, Pages: 190-206
Received: Jun. 18, 2020; Accepted: Jul. 3, 2020; Published: Jul. 17, 2020
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Authors
Ekakitie Omamoke, Department of Mathematics, Bayelsa Medical University, Yenagoa, Nigeria
Emeka Amos, Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
Kubugha Wilcox Bunonyo, Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria
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Abstract
This study analyzes radiation, viscous dissipation and heat source effects on magneto-hydrodynamic free convection flow, of a viscous incompressible fluid over an inclined porous plate. Applying the perturbation technique, the solution of a set of ordinary differential equations are gotten as a result of reducing the non-linear partial differential equations of motion, energy and diffusion, which is solved analytically for velocity, temperature and the concentration distribution. The effect of Radiation, viscous dissipation and heat source on the velocity, temperature, concentration, skin friction, heat transfer and rate of mass flux distribution is plotted graphically using Mathematica 12 software and discussed. It is observed that increased Magnetic field reduces the velocity profile, increases the temperature, skin friction and heat transfer profile. Increase in radiation reduces heat transfer causing a mixed effect on the velocity, temperature and skin friction while an increase in the heat source causes a turbulent effect on the velocity, temperature and skin friction profile. Increase in porosity reduces the velocity, temperature, skin friction and heat transfer profile and finally parameters such as Chemical reaction, Grashof concentration number and Schmidt number had no effect on the velocity, temperature, skin friction and heat transfer profile.
Keywords
Free Convection, Radiation, Viscous Dissipation, Heat Source, Inclined Plate, Porous Plate, Magneto Hydrodynamic (MHD)
To cite this article
Ekakitie Omamoke, Emeka Amos, Kubugha Wilcox Bunonyo, Radiation and Heat Source Effects on MHD Free Convection Flow over an Inclined Porous Plate in the Presence of Viscous Dissipation, American Journal of Applied Mathematics. Vol. 8, No. 4, 2020, pp. 190-206. doi: 10.11648/j.ajam.20200804.14
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
Amos, E. and Omamoke. E., (2018). MHD Free Convetive Flow over an Inclined Porous Surface with Variable Suction and Radiation Effects. International Journal of Applied Science and Mathematical Theory, ISSN 2489-009X, Vol. 4, No. 3.
[2]
Israel-Cookey, C., Ogulu A. and V. B. Omubo-Pepple. (2002). Influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction, International Journal of Heat and Mass Transfer 46 (2003) 2305–2311 Received 1 August 2002; received in revised form 9.
[3]
Mebine, P. (2007). Thermosolutal MHD Flow with Radiative Heat Transfer past an Oscillating Plate. Advances in Theoretical and Applied Mathematics, 2, 3, pp 217-231.
[4]
Venkateswarlu, M., (2015), Unsteady MHD free convective Heat and Mass Transfer in a Boundary Layer Flow Past a vertical Permeable plate with Thermal Radiation and Chemical Reaction. Internal Conference of Computational Heat and Mass Transfer, Procedia Engineering 127, 791 – 799.
[5]
Sankar, Reddy, Sudheer, Babu, M., Narayana, P. V. and Umamaheswara, Reddy, D., (2011). Radiation and Chemical Reaction Effect on an Unsteady MHD Convection Flow Past a Vertical Moving Porous Plate Embedded in a Porous Medium with Viscous Dissipation, Advances in Applied Research, 2 (5):226-239, ISBN:0976-8610.
[6]
Durga, Prasad, P., Kiran, Kumar, R. V. M. S. and Varma, S. V. K., (2016). Heat and Mass Transfer for the MHD Flow of Nano-Fluid with Radiation Absorption, Ain Shams Engineering Journal, www.sciencedirect.com.
[7]
Madhusudhana, Rao, B., Raju, M. C., Viswanath, Reddy, G. and Varma, S. V. K., (2013). Unsteady MHD Free Convective Double Diffusive and Dissipative Visco-Elastic Fluid Flow in Porous Medium with Suction, International Journal of Advances in Science and Technology, Volume 7, number 2, ISSN: 2229-5216.
[8]
Venkateswarlu, M., Venkata, Lakshmi, D. and Naga, Malleswara, Rao, K., (2016). Soret, Hall Current, Rotation, Chemical Reaction and Thermal Radiation Effects on Unsteady MHD Heat and Mass Transfer Natural Convection Flow Past an Accelerated Vertical Plate. J. KSIAM, Volume 20, number 3, pp 203-224, DOI-10.12941.
[9]
Harinath, Reddy, S., Raju, M. C. and Reddy, Keshava, E., (2016). Soret and Defour Effects on Radiation Absorption Fluid in the Presence of Exponentially Varying Temperature and Concentration in a Conducting Field, Special Topics and Reviews in Porous Media-An International Journal 7(2):115-129.
[10]
Rojaa, T., Sankar, Reddy, B. and Bhaskar, Reddy, (2013). Radiation and Chemical Reaction Effect on MHD Free Convection Flow of a Micro-polar Fluid Bounded by Vertical Infinite Surface with Viscous Dissipation and Constant Suction, International Journal of Advanced Research, IJOAR.org, Volume 1, Issue 3, ISSN: 2320-9135.
[11]
Venkateswarlu, M., Ramana, Reddy, G. V. and Lakshmi, D. V., (2013). Unsteady MHD Flow of a Viscous Fluid Past a Vertical Porous Plate under Oscillatory Suction Velocity, Advances in Applied Research, 4(6):52-67, ISSN: 0976-8610.
[12]
Ojemeri, G., Onwabuya, I. O. and Abdusalam, S., Effect of Soret and Radial Magnetic Field of a Free Convective Slip Flow in a Viscous Reactive Fluid Towards a Vertical Porous Cylinder, Continental Journal of Applied Sciences, 14 (1): 25-45 DOI:10.5281, ISSN: 1597-9928.
[13]
Reddy, M. G. and Reddy, N. B., (2009). Radiation and Mass Transfer Effects on Unsteady MHD Free Convection Flow of an Incompressible Viscous Fluid Past a Moving Vertical Cylinder, Journal of Applied Mathematics and Mechanics, Volume 6, pp 96-110.
[14]
Rammana, Reddy, J. V., Sugunamma, V., Sandeep, N. and Sulochana, C., (2016). Influence of Chemical Reaction, Radiation and Rotation on MHD Nano Fluid Flow Past a Permeable Flat Plate in Porous Medium, Journal of the Nigerian Mathematical Society, Volume 35, pp 48-65.
[15]
Krupa, Lakshmi, K. L., Gireesha, B. J., Rama, Gorla, S. R. and Mahanthesh, B., (2016). Effects of Diffusion on Two Phase Boundary Layer Flow Past a Stretching Sheet with Fluid-Particles Suspension and Chemical Reaction: A numerical Study, Journal of the Nigerian Mathematical Society, Volume 35, pp 66-81.
[16]
Salawu, S. O. and Dada, M. S., (2016). Radiative Heat Transfer of Variable Viscosity and Thermal Conductivity Effects on Inclined Magnetic Field with Dissipation in a non-Darcy Medium, Journal of the Nigerian Mathematical Society, Volume 35, pp 93-106.
[17]
Das, K., (2011). Effect of Chemical Reaction and Thermal Radiation on Heat and Mass Transfer Flow of MHD Micro-polar Fluid in a Rotary Frame of Reference. International Journal of Heat and Mass Transfer, 54:3505-13.
[18]
Ekakitie, Omamoke and Emeka, Amos, (2020). The Impact of Chemical Reaction and Heat Source on MHD Free Convection Flow over an Inclined Porous Surface, Internal Journal of Scientific and Research Publication, Volume 10, Issue 5, ISSN:2250-3153, DOI: 10.29322/IJSRP.10.05.2020.P10103.
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