The high thermal conductivity of Titanium dioxide (TiO2) makes it ideal for heat transfer, particularly in a solar collector. However, nanofluids containing dissolved TiO2 nanoparticles tend to agglomerate. Thus, nanoparticle silver (Ag) is used to stabilize the nanofluid. This study looks at a hybrid nanoparticle of TiO2 and Ag, which are put into water to make a hybrid nanofluid, over a stretching plate. The effects of Wu’s velocity slip and Smoluchowski’s temperature slip are taken into consideration. Xue's thermal conductivity model for the hybrid nanofluid is employed. The governing equations are transformed by applying the similarity transformation technique and solved semi-analytically using the Homotopy Analysis Method. The effect of the multiple slips on the fluid profiles is graphically displayed and discussed. Results illustrate that the temperature profile is diminished by 42% due to Smoluchowski's temperature slip parameter, while the velocity profile is reduced by more than 40% due to the first and second-order Wu's slip parameters. These findings are important for optimizing the performance of the hybrid nanofluids. For example, in the solar collector, where a better understanding of heat transfer fluid characteristics can improve the stability of the hybrid nanofluid and the efficiency of eco-friendly energy storage.

In current communication, the thin-film flow of Casson hybrid nanofluid consists of copper and alumina nanoparticles that dissolved in carboxymethyl cellulose (CMC) plus water over an unsteady stretching porous sheet is elucidated. Using suitable similarity variables, the resultant partial governing equations are turned into a set of nonlinear ordinary differential equations. The Keller box approach is then used to solve the transformed equations. The unknown thin-film thickness constant is determined by using the homotopy analysis approach. The thermal and velocity distributions, as well as the Nusselt number and skin friction of the fluid, are discussed for different values of relevant parameters such as thin-film thickness, nanoparticles volume fraction, and mass transition parameter. The distributions of temperature and velocity decrease when the thin-film thickness is increased. The velocity distribution is decreased by the Casson, nanoparticles volume fraction, and mass transition (injection) parameter. The temperature is enhanced by the nanoparticle's volume fraction and the Casson parameter, however, has an opposite tendency with the mass transition (injection) parameter. For the physical quantities, the skin friction has a negative function with all the parameters. The mass transition (injection) parameter increases the Nusselt number. The outcomes of the present study are useful for example in producing the smart contact lens that has been used in the biomedical field.

The nonlinear density variation with temperature happens in many thermal applications like solar collectors, energy production, heat exchangers, and combustions, and it gives a significant impact on heat transfer and fluid flows. Thus, a nonlinear convective of an unsteady stagnation point flow under the influence of gravity modulation in the presence of water-based nanoparticles alumina (Al2O3) is studied here. Suitable variables are utilized to reduce the highly coupled nonlinear governing equations into a system of dimensionless simple partial differential equations. The Keller-box method is then applied to solve the consequent governing equations. Velocity and temperature profiles for various values of pertinent parameters are displayed graphically and discussed. The results indicate that the quadratic convection has enhanced the fluid flow and heat transport. Furthermore, the nonlinear convection parameter and the nanoparticles volume fractions have delivered a positive effect on the skin friction and the rate of heat transfer.

The effectiveness of the heat transfer fluid in the cooling or heating process determines the optimal performance of the nuclear reactor, microelectronic devices, and chip production. Since thermal conductivity improved in hybrid nanofluids, the current study sought to investigate the unsteady free convection hybrid nanofluid flow near a stagnation point as influenced by g-jitter. A hybrid nanofluid consisted of copper (Cu) and alumina (Al2O3) nanoparticles, which were added into water to form Cu-Al2O3/water was considered. Next, relevant variables transformed the governing equation into dimensionless equations before being solved numerically using a centered implicit finite difference method. The fluid field and heat transfer were discussed concerning the stagnation point curvature ratio. The results showed that the g-jitter effect caused fluctuation in all profiles and physical quantities. The frequency and amplitude of the g-jitter reduced the velocity profile while improving the temperature distribution. The heat transfer rate increased by 10.77% when the hybrid nanoparticles volume fractions rose from 0.1 to 0.2. However, the presence of hybrid nanoparticles had reduced the thickness of the momentum boundary layer due to an increase in the local skin friction.