Fractional analysis for heat consumption of CuO-based hybrid nanofluid via integral transform

The article covers two other sources of solar energy: industrial devices and nanofluids, which are employed in thermal engineering. The article makes the case that thermal engineering and industrial solar energy technologies can generate solar energy from alternative sources, such as nanofluids. Fractal fractional derivatives are a new and modified type of fractional derivative that has been developed to solve issues with hybrid nanofluid suspension. Several numerical techniques, such as Stehfest's and Tzou's algorithms, and the integral transform method, also known as Laplace transformation, are used to examine the approximate solution of the governed PDEs. At various time values, the numerical impacts of heat and flow rate are discernible. We then deduced that the momentum and heat profiles decreased with increasing fractal limitations. Furthermore, the momentum and temperature gradients progressively rise close to the plate and fall away from it when all prerequisites are satisfied. Because of the physical relevance of the nanoparticles under consideration, the water-based ( H 2 O) solution also has a more obvious influence when comparing various nanofluids than the ( CMC )-based hybrid nanofluid.