Abstract

This study analyzes the impact that the shape of nanoparticles has on the rate at which heat is transferred over an elastic sheet, which is one of the most important aspects of thermal management. It addresses the pressing demand for effective heat dissipation and insulation in a variety of industries, including energy systems and electronic devices, among others. The importance of this work rests in the fact that it has the potential to make conventional methods of heat transmission obsolete. By gaining an understanding of how the morphologies of nanoparticles affect their thermal properties, we may pave the way for the development of novel materials and applications, which will ultimately result in increased energy efficiency and high-performance technology. The originality by arguing that the study fills a knowledge gap on how different nanoparticle shapes influence heat transport in elastic sheets. The importance of this property for applications such as electronics and materials research should be emphasized. Within the scope of this study, a nanofluid composed of copper and water is utilized to investigate the movement of heat between the stretching sheets. This objective is supported by the utilization of the Hamilton Crosser Model as a tool. Platelets, cylinders, and blocks are some of the shapes and sizes of the nanoparticles that are utilized in this process. A magnetic field is applied, which changes the thermal properties of the nanofluids that are being used in the process of exchanging heat between two objects. This makes the process go more quickly. A similarity transformation is used to convert the governing equations into a collection of ordinary differential equations (ODEs). By using the shooting method, the boundary value problem can be converted into an initial value problem. This is achievable since the shooting technique is a shooting method. After that, a numerical solution is found for this issue using the RK-4 method. We give visual data that demonstrates how the flow pattern and temperature profile change as a result of a variety of different causes. Plots are provided for both the Nusselt number and the skin friction coefficient. As the inquiry goes on and the values of the key parameters are changed, one thing that happens consistently across all forms of nanoparticles is an increase in the velocity profile. This is a pattern. In addition, the nanofluid that is formed of platelet-shaped nanoparticles (which has a bigger value of shape factor) is shown to have the greatest temperature. This finding demonstrates a clear association between temperature and shape factor.

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