| Summary: | The core purpose of this study is the formulation of a fractional model to anticipate the improvement in heat transfer potential of a particular diathermal oil i.e. engine oil under thermal radiative flux. The magnetohydrodynamic (MHD) freely convectional transport of two different types of engine oil based nanofluids comprised of Titanium (Ti<sub>6</sub>Al<sub>4</sub>V) and Aluminum (AA7075) alloy nanoparticles is considered in a vertical channel frame. In addition, the channel is assumed to be embedded in a permeable media and slip effects are observed at both ends. The transmutation of the governed model from classical to fractional environment is achieved by operating the Atangana-Baleanu derivative. To procure solutions of the proposed fractional model, Laplace transform is employed with an adequate choice of some unit-free quantities. Numerical simulations are performed and outcomes are conveyed through graphical illustrations to discuss the contribution of considered alloy nanoparticles in flow mechanism and thermal behavior of engine oil. It is reported that Ti<sub>6</sub>Al<sub>4</sub>V is more effective to enhance the thermal efficiency of engine oil as compared to AA7075. It is claimed that there is an augmentation of 32.50% in the heat transfer rate of engine oil due to Ti<sub>6</sub>Al<sub>4</sub>V, which is almost twice the improvement in heat transfer rate provided by AA7075. Furthermore, the slip parameters lead to expedite the channel flow of engine oil. This study culminates that Ti<sub>6</sub>Al<sub>4</sub>V and AA7075 significantly improve the lubrication and cooling characteristics of engine oil.
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