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ISSN Print: 1091-028X
ISSN Online: 1934-0508
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A NUMERICAL STUDY OF NANOFLUID FLOW OVER A POROUS VERTICAL PLATE WITH INTERNAL HEAT GENERATION AND NONLINEAR THERMAL RADIATION
ABSTRACT
The study of nanofluid flow in porous media is of great interest because of enhanced heat transfer rates of these fluids. In this paper we present a study of mixed convection in a nanofluid flow in a porous medium along a vertical plate. The flow field is subjected to magnetic effects and nonlinear thermal radiation. The study further assumes the effects of heat generation within the boundary layer flow. The transport equations are solved numerically using the fifth-order Runge-Kutta-Fehlberg scheme with a shooting technique and appropriate boundary conditions for different values of physical parameters. The model for the nanofluid flow in the porous medium incorporates the effects of buoyancy ratio parameter and Darcy number. The effects of various physical parameters on the dimensionless velocity, temperature and concentration profiles is investigated. It is observed among other findings that an increase in the Darcy number leads to increase in the velocity profiles.
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Azizian, R., Doroodchi, E., McKrell, T., Boungiorno, J., Hu, L.W., and Moghtaderi, B., Effect of Magnetic Field on Laminar Convective Heat Transfer of Magnetite Nanofluids, Int. J. Heat Mass Transf., vol. 68, pp. 94-109,2014.
-
Chamkha, A., Abbasbandy, S., and Rashad, A.M., Non-Darcy Natural Convection Flow for Non-Newtonian Nanofluid over Cone Saturated in Porous Medium with Uniform Heat and Volume Fraction Fluxes, Int. J. Numer. Methods Heat Fluid Flow, vol. 25, no. 2, pp. 422-437, 2015.
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El-Kabeir, S.M.M., Modather, M., and Rashad, A.M., Effect of Thermal Radiation on Mixed Convection Flow of a Nanofluid about a Solid Sphere in a Saturated Porous Medium under Convective Boundary Condition, J. Porous Media, vol. 18, no. 6, pp. 569-584,2015.
-
Gorla, R.S.R., Slaouti, A., and Takhar, H.S., Mixed Convection in Non-Newtonian Fluids along a Vertical Plate in Porous Media with Surface Mass Transfer, Int. J. Numer. Methods Heat Fluid Flow, vol. 7, no. 6, pp. 598-608, 1997.
-
Lajvardi, M., Moghimi, J., Hadi, I., Gavili, A., Dallali, F.T., and Zabihi, J.S., Experimental Investigation for Enhanced Ferrofluid Heat Transfer under Magnetic Field Effect, J. Magn. Magn. Mater, vol. 322, pp. 3508-3513, 2010.
-
Magyari, E. and Keller, B., Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface, J Phys. D: Appl. Phys, vol. 32, pp. 577-585, 2014.
-
Mahapatra, T.R. and Nandy, S.K., Slip Effects on Unsteady Stagnation Point Flow and Heat Transfer over a Shrinking Sheet, Meccanica, vol. 48, pp. 1599-1606, 2013.
-
Mondal, H., Mishra, S., and Bera, U.K., Nanofluids on MHD Mixed Convective Heat and Mass Transfer over a Non-Linear Stretching Surface with Suction/Injection, J. Nanofluids, vol. 4, no. 2, pp. 223-229, 2015.
-
Pal, D. and Mondal, H., Effect of Variable Viscosity on MHD Non-Darcy Mixed Convective Heat Transfer over a Stretching Sheet Embedded in a Porous Medium with Non-Uniform Heat Source/Sink, Commun. Nonli. Sci. Numer. Simul., vol. 15, pp. 1553-1564, 2010a.
-
Pal, D. and Mondal, H., Hydromagnetic Non-Darcy Flow and Heat Transfer over a Stretching Sheet in the Presence of Thermal Radiation and Ohmic Dissipation, Commun. Nonli. Sci. Numer. Simul., vol. 15, pp. 1197-1209, 2010b.
-
Pal, D. and Mondal, H., The Influence of Thermal Radiation on Hydromagnetic Darcy-Forchheimer Mixed Convection Flow past a Stretching Sheet Embedded in Porous Medium, Meccanica, vol. 46, pp. 739-753,2011.
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Patil, P.M., Chamkha, A.J., and Roy, S., Effects of Chemical Reaction on Mixed Convection Flow of a Polar Fluid through a Porous Medium in Presence of Internal Heat Generation, Meccanica, vol. 47, pp. 483-499, 2012.
-
Patil, P.M., Chemical Reaction Effects on Free Convective Flow of a Polar Fluid from a Vertical Plate with Uniform Heat and Mass Fluxes, IOSRJ. Math, vol. 6, no. 5, pp. 66-85, 2013.
-
Poornima, T. and Reddy, N.B., Radiation Effects on MHD Free Convective Boundary Layer Flow of Nanofluids over a Non Linear Stretching Sheet, Adv. Appl. Sci. Res, vol. 4, no. 2, pp. 190-202, 2013.
-
Sami, U.K. and Ali, N., Thermophoresis and Heat Generation/Absorption Effects on Magnetohydrodynamic Flow of Jeffrey Fluid over Porous Oscillatory Stretching Surface with Convective Boundary Conditions, J. Porous Media, vol. 21, no. 6, pp. 555-576, 2018.
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Singh, A.K., Heat Source and Radiation Effects on Magnetoconvection Flow of a Viscoelastic Fluid past a Stretching Sheet: Analysis with Kummer's Functions, Int. Commun. Heat Mass Transf., vol. 35, no. 5, pp. 637-642, 2008.
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Sudhagar, P., Kameswaran, P.K., and Kumar, B.R., Magnetohydrodynamics Mixed Convection Flow of a Nanofluid in an Isothermal Vertical Cone, J. Heat Transf., vol. 139, no. 3, p. 034503,2017.
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Umavathi, J.C., Free Convection Flow in a Duct Filled with Nanofluid and Saturated with Porous Medium: Variable Properties, J. Porous Media, vol. 21, no. 1, pp. 1-33, 2018.
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Almakki Mohammed, Mondal Hiranmoy, Sibanda Precious, Onset of unsteady MHD micropolar nanofluid flow with entropy generation, International Journal of Ambient Energy, 2021. Crossref
-
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Alsenafi Abdulaziz, Ferdows M., Dual solution for double-diffusive mixed convection opposing flow through a vertical cylinder saturated in a Darcy porous media containing gyrotactic microorganisms, Scientific Reports, 11, 1, 2021. Crossref
-
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-
Salahuddin T., Khan Muhammad Habib Ullah, Khan Mair, Alwan Basem Al, Amari Abdelfattah, An analysis on the flow behavior of MHD nanofluid with heat generation, Fuel, 311, 2022. Crossref
-
Awan Aziz Ullah, Akbar Asia Ali, Hamam Haneen, Gamaoun Fehmi, Tag-ElDin ElSyed M., Abdulrahman Amal, Characterization of the Induced Magnetic Field on Third-Grade Micropolar Fluid Flow Across an Exponentially Stretched Sheet, Frontiers in Physics, 10, 2022. Crossref
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Raizah Zehba, Alrabaiah Hussam, Bilal Muhammad, Junsawang Prem, Galal Ahmed M., Numerical study of non-Darcy hybrid nanofluid flow with the effect of heat source and hall current over a slender extending sheet, Scientific Reports, 12, 1, 2022. Crossref