MHD Influence on different water based nanofluids (TiO2, Al2O3, CuO) in porous medium with chemical reaction and newtonian heating.

• Fractional nanofluid's model is developed by Caputo time derivative approach. • Enhancement of heat transfer features of nanofluids have made possible the new growth in heat freights and heat fluxes induced by numerous power in miniaturized products, advanced diligences such as in microelectronics, conveyance, fabricating, metrology and defensive structure face cooling systems etc. • Developing heat and mass transfer model of nanofluids by applying fractional calculus enables us to enhance heat and mass transfer phenomenon. • Analytical results are obtained by applying Laplace transform method. • Water is taken as base fluid with five different nano particles and comparison is drawn between them. We have concluded that Ag - water nanofluid has greater temperature field whereas Al 2 O 3 -water has greater velocity as compared to TiO 2 , Cu, Ag, CuO. The present study is aimed to provide the unsteady MHD nanofluid's flow passing through an accelerating infinite vertical plate situated in porous medium. The flow is effected by thermal radiation, Newtonian heating and chemical reaction. Water is considered as conventional base fluid comprising of five different types of nano particles such as Titanium oxide (TiO 2), Aluminium Oxide (Al 2 O 3), Copper Oxide (CuO), Silver (Ag) and Copper (Cu). By using dimensional analysis, the governing equations for temperature, velocity and concentration are reduced to dimensionless and after that these classical equations of present model are generalized to Caputo and Caputo-Fabrizio fractional derivatives. Semi-exact solutions for these equations are obtained via Laplace transform method. Inversion algorithms (Tzou's and Stehfest's) are applied to find the inverse Laplace transform. At last the comparison of water based nanofluids suspended with five different types of nano particles is drawn and effect of nanoparticles as well as fractional parameters (α, β, γ) on temperature and velocity can be seen by software Mathcad. We concluded that Ag -water nanofluid has greater temperature due to its greater value of thermal conductivity as compare to others. Whereas Al 2 O 3 -water has greater velocity because these particles are less denser than TiO 2 , Cu, Ag, CuO. Further we can see that by increasing the value of fractional parameters velocity as well as temperature decreases. Fluid flow can be enhanced with Caputo fractional model while Caputo-Fabrizio decays faster than Caputo and hence well suited in exhibiting the memory of the flow problem at certain time. [ABSTRACT FROM AUTHOR]