Abstract
Homogeneous and heterogeneous chemical reactions in partially ionized magnetonanofluid are investigated theoretically using finite element method. The effects of ions and electrons collisions on the transport of heat and mass are analyzed for both the cases of heterogeneous and homogeneous chemical reactions. The simultaneous effects of dispersion of nano-sized particles in partially ionized nanofluid in the presence of magnetic field are also investigated. Through numerical experiments, it is noted that the temperature of partially ionized nanofluid increases as the electrons collision rate is increased, whereas a reverse trend is noted when ion collisions are increased. The transport rate of reacting species decreases when heterogeneous and homogeneous chemical reactions strengths are increased. It is also observed that the effect of electron collisions on the flow in y-direction is opposite to that of ion collisions on the flow in y-direction. Homogeneous and heterogeneous chemical reactions have similar effects on concentration of chemically reacting species in qualitative sense. However, in quantitative sense, homogeneous chemical reaction has more significant effects on concentration as compared to the effect of heterogeneous chemical reaction.
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References
Merkin JH (1994) A model for isothermal homogenous-heterogeneous reactions in boundary-layer flow. Math Comput Model 24:125–136
Hayat T, Rashid M, Alsaedi A (2018) Three dimensional radiative flow of magnetite-nanofluid with homogeneous-heterogeneous reactions. Results Phys 8:268–275
Bachok N, Ishak A, Pop I (2011) On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects. Commun Nonlinear Sci Numer Simul 16:4296–4302
Gireesha BJ, Kumar PBS, Mahanthesh B, Shehzad SA, Rauf A (2017) Nonlinear 3D flow of Casson–Carreau fluids with homogeneous-heterogeneous reactions: a comparative study. Result Phys 7:2762–2770
Hayat T, Rashid M, Imtiaz M, Alsaedi A (2017) Nanofluid flow due to rotating disk with variable thickness and homogeneous–heterogeneous reactions. Int J Heat Mass Transfer 113:96–105
Sajid M, Iqbal SA, Naveed M, Abbas Z (2017) Effect of homogeneous-heterogeneous reactions and magnetohydrodynamics on Fe3O4 nanofluid for the Blasius flow with thermal radiations. J Mol Liq. https://doi.org/10.1016/j.molliq.2017.02.081
Qayyum S, Khan MI, Hayat T, Alsaedi A (2017) A framework for nonlinear thermal radiation and homogeneous-heterogeneous reactions flow based on silver water and copper-water nanoparticles: A numerical model for probable error. Res Phys 7:1907–1914
Nazarov YV (1995) Generalized ohm’s law, quantum dynamics of submicron structures. Springer, Berlin, pp 687–704
Nawaz M, Rana S, Qureshi IH, Hayat T (2018) Three-dimensional heat transfer in the mixture of nanoparticles and micropolar MHD plasma with Hall and ion slip effects. AIP Adv 8:105–109
Animasaun IL, Raju CSK, Sandeep N (2016) Unequal diffusivities case of homogeneous–heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation. Alex Eng J 55(2):1595–1606
Khan MI, Hayat T, Alsaedi A (2017) Numerical analysis for Darcy–Forchheimer flow in presence of homogeneous–heterogeneous reactions. Results Phys 7:2644–2650
Hayat T, Rashid M, Imtiaz M, Alsaedi A (2017) Nanofluid flow due to rotating disk with variable thickness and homogeneous-heterogeneous reactions. Int J Heat Mass Transfer 113:96–105
Reda MR, Askar H (1989) Convective diffusion with homogeneous and heterogeneous reactions in a parallel plate duct with one catalytic wall: Part II. Non-isothermal case by using eight-noded isoparametric elements. J Mol Catal 56(1–3):338–350
Hayat T, Nawaz M (2011) Hall and ion-slip effects on three-dimensional flow of a second grade fluid. Int J Num Methods Fluids 66(2):183–193
Motsa S, Shateyi S (2012) The effects of chemical reaction, Hall and ion-slip currents on MHD micropolar fluid flow with thermal diffusivity using a novel numerical technical. J Appl Math 9:30
Das S, Jana R, Makinde O (2016) Magnetohydrodynamic free convective flow of nanofluid past an oscillating porous flat plate in a rotating system with thermal radiation and Hall effects. J Mech 32(2):197–210
Nawaz M, Zubair T (2017) Finite element study of three dimensional radiative nano-plasma flow subject to Hall and ion slip currents. Results Phys 7:4111–4122
Hayat T, Zahir H, Alsaedi A, Ahmad B (2017) Hall current and Joule heating effects on peristaltic flow of viscous fluid in a rotating channel with convected boundary conditions. Res Phys 7:2831–2836
Abdelsalam SI, Bhatti MM (2018) The study of non-Newtonian nanofluid with Hall and ion-slip effects on peristaltically induced motion in a non-uniform channel. RSC Adv 8(15):7904–7915
Abo-Eldahab EM, El Aziz MA (2005) Viscous dissipation and Joule heating effects on MHD free-convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents. Appl Math Model 29(6):579–595
Nawaz M, Rana S, Qureshi IH (2018) Computational fluid dynamic simulations for dispersion of nanoparticles in a magnetohydrodynamic liquid: a Galerkin finite element method. RSC Adv 8:38324–38335
Odelu O, Kumar NN (2018) Slip flow and heat transfer of chemically reacting micropolar fluid through expanding or contracting walls with Hall and ion-slip currents. Ain Shams Eng J 9(1):137–147
Da Silva BNM, Assad GE, De Lima JA (2018) Unsteady Magnetohydrodynamic channel flow with Hall and ion-slip effects: the integral transform solution procedure. J Enhanc Heat Transfer 25(4–5):367–386
Reza J, Mebarek-Oudina F, Makinde OD (2018) MHD slip flow of Cu–kerosene nanofluid in a channel with stretching walls using 3-stage lobatto IIIA formula. Defect Diffus Forum 387:51–62
Nawaz M, Rana S, Qureshi IH, Hayat T (2018) Three-dimensional heat transfer in the mixture of nanoparticles and micropolar MHD plasma with Hall and ion slip effects. AIP Adv 8:105–109
Qureshi IH, Nawaz M, Rana S, Zubair T (2018) Galerkin finite element study on the effects of variable thermal conductivity and variable mass diffusion conductance on heat and mass transfer. Commun Theor Phys 70(1):49–59
Qureshi IH, Nawaz M, Rana S, Nazir U, Chamkha AJ (2018) Investigation of variable thermo-physical properties of viscoelastic rheology: a Galerkin finite element approach. AIP Adv 8:075027
Nawaz M, Arif U, Qureshi IH (2019) Impact of temperature dependent diffusion coefficients on heat and mass transport in viscoelastic liquid using generalized Fourier theory. Phys Scr. https://iopscience.iop.org/article/10.1088/1402-4896/ab1cec
Khan JA, Mustafa M, Hayat T, Alsaedi A (2014) On three-dimensional flow and heat transfer over a non-linearly stretching sheet: analytical and numerical solutions. PLoS ONE 9(9):e107287
Acknowledgements
Dr. Salman Saleem extends his appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant No. R.G.P-2/51/40.
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Nawaz, M., Saleem, S. & Rana, S. Computational study of chemical reactions during heat and mass transfer in magnetized partially ionized nanofluid. J Braz. Soc. Mech. Sci. Eng. 41, 326 (2019). https://doi.org/10.1007/s40430-019-1825-5
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DOI: https://doi.org/10.1007/s40430-019-1825-5