This manuscript investigates the temperature difference versus temperature or time and the effects of newly introduced fractional operators, namely Caputo-Fabrizio and Atangana-Baleanu fractional derivatives, on the magnetohydrodynamic flow of nanofluid in a porous medium. Three different types of nanoparticles are suspended in ethylene glycol, namely titanium oxide, copper and aluminum oxide. The mathematical modeling of the governing equations is developed by the modern fractional derivatives. The general solutions for velocity field and temperature distribution have been established by invoking Laplace transforms, and obtained solutions are expressed in terms of special functions, namely Fox-H functionLeffler functions. Dual solutions have been analyzed by graphical illustrations for the influence of pertinent parameters on the motion of a fluid. The base fluid and three different types of nanoparticles have intersecting similarities and differences in the heat transfer and fluid flows. The results show the reciprocal behavior of different types of nanoparticles which are suspended in ethylene glycol via Caputo-Fabrizio and Atangana-Baleanu fractional operators.

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It is a well-established fact that corrosion of mild steels occurs in pipelines, storage tanks, oil reservoirs, boilers, and petrochemicals industries. Green inhibitors are economical, non-toxic and eco-friendly, and forming barrier type layer of organic compounds over metallic materials. In this paper, weight loss, electrochemical measurements containing potential measurements, potentiodynamic polarization and impedance spectroscopy were applied to inspect the neem leaves extract inhibition efficiency and corrosion phenomenon under three conditions (X1, X2 and X3) in 1.0 M HCl medium. The characterization technique including scanning electron microscopy coupled with energy dispersive spectroscopy was conducted to scrutinize the elemental analysis, corrosive pitting and morphology of corrosion products of mild steel immersed in 1.0 M HCl medium with and without neem leaves extract concentration. The corrosion inhibition efficiency of neem leaves extract increased with increasing concentration and conditioning time. By increasing the conditioning time from 0.08 h to 72 h, the corrosion inhibition efficiency of neem leaves extract was increased from 75% to 97%. The neem leaves extract corrosion inhibitor works quite effectively only for 24 h, thereafter its efficiency drastically decreases. For 24 h, neem leaves extract prevented 80–90% corrosion attack but when steel immersion time was increased to 48 h and 72 h, its efficiency decreased from 83% to 65% and 52% to 42%, respectively.

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