Engine oil (EO) is used as a lubricant in the engines of different machineries. The basic need of all phenomena is the rate of heat transfer. To enhance the rate of heat transfer and to save the energy wasted due to high temperature. For this reason in the present study we have taken engine oil as base fluid and molybdenum disulphide and graphene oxide (MoS₂ + GO) hybrid nano-composites are suspended in the (EO). Furthermore, the nonlinear nature of viscoelastic non-Newtonian fluids, introduce a unique challenge to physicists and mathematicians. In the past three decades, viscoelastic fluid models are focused to improve its accuracy and reliability. In this article, viscoelastic Maxwell (MoS₂ + GO) hybrid nanofluid (MHNF) is considered in oscillating cylindrical tube together with heat transfer. Exact solutions are obtained by using the joint applications of the Laplace and Hankel transforms and the obtained results are portrayed through different figures. All the figures of the given flow model are constructed for unitary nanofluid (MoS₂ + EO) as well as hybrid nanofluid (GO + MoS₂ + EO). Effects of flow parameters on Maxwell fluid velocity have shown through graph using computational software MATHCAD. From the present study, we have concluded that hybrid nanofluid gives us more satisfactory results than unitary nanofluid. During this analysis we found that the Maxwell hybrid nanofluid (GO + MoS₂ + EO) enhance the rate of heat transfer up to 23.17 %. Furthermore, it is worth noting that engine oil has many engineering and industrial applications. Keeping this fact in mind the present study will help to enhance the rate of heat transfer due to which working machines will do better performance and the loss of useful energy will be reduced. Finally, we have present a limiting case by putting Maxwell fluid parameter (λ = 0) our solutions reduced to well-known published results which validate our work.

发动机油 (EO) 在不同机械的发动机中用作润滑剂。所有现象的基本需要是热传递率。提高传热率，节省因高温而浪费的能源。出于这个原因，在本研究中，我们将发动机油作为基础油，二硫化钼和氧化石墨烯（MoS ₂ + GO）混合纳米复合材料悬浮在（EO）中。此外，粘弹性非牛顿流体的非线性特性给物理学家和数学家带来了独特的挑战。在过去的三年中，粘弹性流体模型的重点是提高其准确性和可靠性。在本文中，粘弹性麦克斯韦 ( MoS ₂ + GO) 混合纳米流体 (MHNF) 与热传递一起被考虑在振荡圆柱管中。通过使用拉普拉斯和汉克尔变换的联合应用获得精确解，并且通过不同的图形描绘获得的结果。给定流动模型的所有图形都是为单一纳米流体（MoS ₂ + EO）以及混合纳米流体（GO  +  MoS ₂ + EO）构建的。流动参数对麦克斯韦流体速度的影响已通过使用计算软件 MATHCAD 的图形显示出来。从目前的研究中，我们得出结论，混合纳米流体比单一纳米流体为我们提供了更令人满意的结果。在此分析过程中，我们发现 Maxwell 混合纳米流体 ( GO  + MoS ₂ + EO) 将传热率提高至 23.17 %。此外，值得注意的是，发动机油有许多工程和工业应用。牢记这一事实，本研究将有助于提高热传递率，因为工作机器将具有更好的性能，并且有用能量的损失将减少。最后，我们通过将 Maxwell 流体参数 (λ = 0) 我们的解决方案简化为众所周知的已发表结果来验证我们的工作，从而提出了一个极限情况。