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Abstract In various machinery engines, the engine oil is utilized as a lubricant. Heat transportation rate and to saving the energy dissipated due to higher temperature are the basic goals of all thermal systems. Thus, current work is mainly focused to develop a model for the Marangoni flow of nanofluids (NFs) with viscous dissipation. The considered NFs are made of nanoparticles (NPs) i.e. $${\text{CoCr}}_{20} {\text{W}}_{15} {\text{N}}$$ CoCr 20 W 15 N and base fluid (BF) as Engine Oil (EO). Darcy Forchheimer (DF) law which leads to porous medium is implemented in the model to investigate the variations of NF velocity and temperature. The governing flow expressions are simplified through similarity variables. The obtained expressions are solved numerically via an effective technique known as the NDSolve algorithm. The consequences of pertinent variables on temperature, velocity and Nusselt number are designed through tables and graphs. The obtained results reveal that velocity rises for higher Marangoni number, Darcy Forchheimer (DF) parameter whereas it shows decaying behavior against nanoparticles volume fraction.