Thermal determination of hybrid nanofluid with molybdenum disulphide (MoS $$_{2}$$ ) and graphene oxide (GO) nanoparticles: AB fractional simulations

Hybrid nanomaterials have different applications and scientists have presented different methods to enhance the thermal efficiencies of cooling and heating systems, improving energy resources, thermal managements, extrusion processes, chemical reactions, etc. Current investigation reports a thermal study based on hybrid nanofluid model via fractional approach. The hybrid nanofluid contains molybdenum disulphide (MoS\(_2\)) and graphene oxide (GO) nanoparticles. Engine oil is used as a base liquid for which thermal properties need to be enhanced. Additionally, the impact of magnetic force is studied for electrically conducting hybrid nanofluid. Fractional computations are performed using Atanangana–Balenau (AB) fractional derivative, followed by the Laplace technique for integration assessment. The role of physical flow parameters is tested graphically. It is observed that the heat transfer phenomenon enhances due to nanoparticle volume fraction, the velocity profile declines due to Grashof number and skin friction coefficient increases due to fractional parameter and Grashof number.