نبذة مختصرة : This investigation takes into account the flow of a hybrid copper–molybdenum disulfide (Cu–MoS2)\left({\rm{Cu}}{\rm{\mbox{--}}}{{\rm{MoS}}}_{2})/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account 0.010.01 of copper (Cu)\left({\rm{Cu}}) and 0.010.01 of molybdenum disulfide (MoS2){({\rm{MoS}}}_{2}) nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanofluid was compared for pivotal velocity, temperature profile, and entropy formation. The estimated skin friction and Nusselt number are the significant physical parameters. It can be observed that when the values of the stretching rate ratio and power index law increase, the skin friction increases, but it can have the opposite behavior compared to the Nusselt number.
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