Impact of nanoparticle shape on heat transfer in nanofluid flow over a rotating inclined disk with viscous dissipation

In the presence of heat radiation, the current work aims to investigate the analysis of the transmission of heat the nanofluid flow due to the rotating and inclined disk. The novelty of the current work is to investigate the effect of five different shapes of nanoparticles. It is assumed that each of the five different-shaped nanoparticles has the same diameter (dp = 45 nm). Every shape is suspended in the same volume. The study is needed because normal nanofluids cannot remove heat effectively, and by transforming the shape of nanoparticles, heat transfer can be improved. The results of study are suitable for real systems like gas turbines, rotating machines, and cooling devices that use inclined rotating disks. Both joule heating and viscous-dissipation components of the heat transmission process are taken into consideration. Aluminum oxide suspended in silicon oil make up the nanofluid. Inclined rotating disks are employed in gas turbines and aerospace engines to control thermal loads. High mechanical and thermal stresses are placed on inclined rotating disks found in wind turbines and industrial gearboxes. Based on the results, the heat transfer system is much improved and becomes more realistic when thermal radiation is included. A collection of nonlinear partial differential equations (PDEs) and related boundary conditions are defined in the mathematical formulation section. To convert the suggested mathematical system of nonlinear PDEs into a system of nonlinear ordinary differential equations (ODEs) with boundary conditions (BCs), an appropriate similarity transformation is applied. The differential transform method is then used to solve the amended equations. A more comprehensive understanding of this system’s heat transfer properties can be obtained from graphs and showing the precise dimensions of profile findings for different flow parameters. It can be observed that on increasing porosity, the temperature of nanofluid (NF) also increases because fluid motion enhances viscous dissipation, which converts kinetic energy into thermal energy which raising the temperature. Also, on increasing the volume fraction from 0% to 5%, skin friction coefficient decreases 10%–15%. By comparing the produced results with established results in literature and numerical method results, the accuracy of the results calculated by differential transform method (DTM) has been established and there is a good agreement between them.