Abstract

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 xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">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 xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">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 xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">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 xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</sub> Al <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</sub> V and AA7075 significantly improve the lubrication and cooling characteristics of engine oil.

Highlights

  • In this modern era, where objects are reducing in size with enhanced practical features, nanotechnology is an exponentially progressing field, which is known as the engineering of atomic-scale functional systems

  • The geometrical setting of this problem involves an upward channel that is nested in a permeable media, and it encounters heat radiative flux and magnetic force while slip effects are imposed at both ends

  • The theoretical analysis reported in this article is conducted to propose a fractional model in the form of Atangana-Baleanu derivative for demonstrating flow and heat transfer phenomena of engine oil based nanofluids

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Summary

Introduction

In this modern era, where objects are reducing in size with enhanced practical features, nanotechnology is an exponentially progressing field, which is known as the engineering of atomic-scale functional systems. The existence of nanotechnology can be realized in multiple industrial and daily. The associate editor coordinating the review of this manuscript and approving it for publication was Shunfeng Cheng. Life problems, for instance, the use of silver nanoparticles as antibacterial agents, repairing and improving biological tissues for their proper functioning, and precise transportation of drugs in the body [1], [2]. Computers are inexpensive, fast, and can store large-scale data sets due to improved storage capacity. The traditional materials are replaced with nanomaterials like nanopillars to combat the production charges of solar cells. Nanotechnology has enabled synthetic chemistry to develop any desired.

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