Darcy-Forchheimer flow of Maxwell nanofluid flow with nonlinear thermal radiation and activation energy
Tóm tắt
The present article is about the study of Darcy-Forchheimer flow of Maxwell nanofluid over a linear stretching surface. Effects like variable thermal conductivity, activation energy, nonlinear thermal radiation is also incorporated for the analysis of heat and mass transfer. The governing nonlinear partial differential equations (PDEs) with convective boundary conditions are first converted into the nonlinear ordinary differential equations (ODEs) with the help of similarity transformation, and then the resulting nonlinear ODEs are solved with the help of shooting method and MATLAB built-in bvp4c solver. The impact of different physical parameters like Brownian motion, thermophoresis parameter, Reynolds number, magnetic parameter, nonlinear radiative heat flux, Prandtl number, Lewis number, reaction rate constant, activation energy and Biot number on Nusselt number, velocity, temperature and concentration profile has been discussed. It is viewed that both thermophoresis parameter and activation energy parameter has ascending effect on the concentration profile.
Từ khóa
Tài liệu tham khảo
1992, Porous Media
1999, Convection in Porous Media
2002, Micro Flows
2005, Micro Flows and Nano Flows: Fundamentals and Simulation
1901, Wasserbewegung Durch Boden, Zeitschrift des Vereins Deutscher Ingenieure, 45, 1782
1946, The flow of homogeneous fluids through porous media
2012, Hydromagnetic convective diffusion of species in Darcy-Forchheimer porous medium with non-uniform heat source/sink and variable viscosity, International Communication in Heat and Mass Transfer, 39, 913, 10.1016/j.icheatmasstransfer.2012.05.012
2016, Darcy-Forchheimer flow of hydromagnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip, viscous and Ohmic dissipations effects, Ain Shams Engineering Journal, 10.1016/j.asej.2016.04.019
2016, Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux, International Journal of Numerical Methods for Heat and Fluid Flow, 26, 2355, 10.1108/hff-08-2015-0333
2017, A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition, Chinese Journal of Physics, 55, 963, 10.1016/j.cjph.2017.03.006
2017, A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet, AIP Advances, 5, 117117, 10.1063/1.4935571
2017, Stagnation point flow of Burgers’ fluid and mass transfer with chemical reaction and porosity, Journal of Mechanics, 29, 453
2017, Travelling wave solutions for the unsteady flow of a third grade fluid induced due to impulsive motion of flat porous plate embedded in a porous medium, Journal of Mechanics, 30, 527
2012, On the exact solution for axisymmetric flow and heat transfer over a nonlinear radially stretching sheet, Chinese Physics Letters, 29, 10.1088/0256-307x/29/8/084705
1995, Enhancing thermal conductivity of fluids with nanoparticles, American Society of Mechanical Engineers, 231, 99
2007, Nanofluids: Science and Technology
2008, A review model of nanofluids: Theoretical and numerical investigations, Brazilian Journal of Chemical Engineering, 55, 613
2015, Thermal conductivity enhancement of Al2O3 nanofluid in ethylene glycol and water mixture, Energy Procedia, 79, 397, 10.1016/j.egypro.2015.11.509
2008, Investigations of thermal conductivity and viscosity of nanofluids, International Journal of Thermal Sciences, 47, 560, 10.1016/j.ijthermalsci.2007.05.004
2006, Convective transport in nanofluids, ASME Journal of Heat Transfer, 128, 240, 10.1115/1.2150834
2016, Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions, Alexandria Engineering Journal, 55, 1025, 10.1016/j.aej.2016.03.003
1987, Stretched flow of Carreau nanofluid with convective boundary condition, Pramana Journal of Physics, 86, 3
2017, Three dimensional MHD upper-convected Maxwell nanofluid flow with nonlinear radiative heat flux, Alexandria Engineering Journal, 10.1016/j.aej.2017.03.039
2017, On MHD 3D upper convected Maxwell fluid flow with thermophoretic effect using non-linear radiative heat flux, Canadian Journal of Physics, 96, 1, 10.1139/cjp-2017-0250
2017, CuO-water nanofluid free convection in a porous cavity considering Darcy law, The European Physical Journal Plus, 55, 132
2017, Generalized magnetic field effects in Burgers nanofluid model, PLoS ONE, 12, e0168923, 10.1371/journal.pone.0168923
2016, Convective boundary conditions effect on peristaltic flow of a MHD Jeffery nanofluid, Applied Nanoscience, 6, 323, 10.1007/s13204-015-0431-9
2017, Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium, Journal of King Saud University Science, 29, 250, 10.1016/j.jksus.2016.05.003
2015, Influence of convective heat and mass conditions in MHD flow of nanofluid, Bulletin of the Polish Academy of Sciences Technical Sciences, 63, 465, 10.1515/bpasts-2015-0053
2015, Magnetohydrodynamic (MHD) stretched flow of nanofluid with power-law velocity and chemical reaction, AIP Advances, 5, 117121, 10.1063/1.4935649
2016, The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet, Propulsion and Power Research, 5, 164, 10.1016/j.jppr.2016.05.003
2014, Numerical simulation for the unsteady MHD flow and heat transfer of coupled stress fluid over a rotating disk, PLoS ONE, 9, e95423, 10.1371/journal.pone.0095423
2017, MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions, Bulletin of the Polish Academy of Sciences Technical Sciences, 65, 155, 10.1515/bpasts-2017-0019
2016, Analytic and numerical solutions for axisymmetric flow with partial slip, Engineering with Computers, 32, 149, 10.1007/s00366-015-0405-2
2014, Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: A numerical study, Journal of the Taiwan Institute of Chemical Engineers, 45, 1176, 10.1016/j.jtice.2013.11.008
2017, Effects of nonlinear thermal radiation, non-uniform heat source/sink on MHD stagnation point flow of a Casson fluid over a nonlinear stretching sheet with slip conditions, Journal of Nanofluids, 6, 692, 10.1166/jon.2017.1360
2016, Nonlinear radiative heat transfer in MHD three-dimensional flow of water based nanofluid over a non-linearly stretching sheet with convective boundary condition, Journal of the Nigerian Mathematical Society, 35, 178, 10.1016/j.jnnms.2016.02.003
2016, Study of heat transfer with nonlinear thermal radiation on sinusoidal motion of magnetic solid particles in a dusty fluid, Journal of Theoretical and Applied Mechanics, 46, 75, 10.1515/jtam-2016-0017
2013, Radiation effects on MHD stagnation point flow of nanofluid towards a stretching surface with convective boundary condition, Chinese Journal of Aeronautics, 26, 1389, 10.1016/j.cja.2013.10.008
2007, Arrhenius average temperature: The effective temperature for non-fatigue wearout and long term reliability in variable thermal conditions and climates, IEEE Transactions on Components and Packaging Technologies, 27, 602
1991, Radiative heat transfer to flow of a combustible mixture in a vertical pipe, International Journal of Energy Research, 15, 179, 10.1002/er.4440150305
Effects of exothermic/endothermic chemical reactions with Arrhenius activation energy on MHD free convection and mass transfer flow in presence of thermal radiation, Journal of Thermodynamics, 2013, 1, 10.1155/2013/692516
2016, Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy, Results in Physics, 6, 627, 10.1016/j.rinp.2016.09.006
2016, Numerical study of MHD viscoelastic fluid flow with binary chemical reaction and Arrhenius activation energy, International Journal of Chemical Reactor Engineering, 15, 627
2013, Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties, Nonlinear Analysis in Real World Application, 14, 455, 10.1016/j.nonrwa.2012.07.008
2013, Heat and mass transfer in MHD viscoelastic fluid flow over a vertical plate with variable viscosity, International Journal of Heat and Mass Transfer, 15, 370
2014, Effects of temperature-dependent viscosity and variable thermal conductivity on MHD non-Darcy mixed convective diffusion of species over a stretching sheet, Journal of Egyptian Mathematical Society, 22, 123, 10.1016/j.joems.2013.05.010
2013, Soret and Dufour effects on MHD convective heat and mass transfer of a power-law fluid over an inclined plate with variable thermal conductivity in a porous medium, Applied Mathematics and Computation, 219, 7556, 10.1016/j.amc.2012.10.119
1979, Computational Methods in Engineering Boundary Value Problems, 71