The brain is a complicated system that experiences energy and energy exchange problems. While silver nanoparticles are essential in cancer treatment, entropy analysis can be used to study the brain and its illness. In addition to the nature of the blood's thermophysical properties and the utility of silver nanoparticles over curved stretched surfaces, nothing is known about the dynamics of transient blood carrying silver nanoparticles when entropy generation and Lorentz force are important. So, a transitory irreversibility analysis problem (entropy generation/s law analysis) is studied in this work. As a counter example to Casson fluid, blood is used as the base fluid, which has a suspension of silver nanoparticles on a curved, stretched surface. Convective boundary conditions and thermal radiation are considered. By using the necessary similarity transformations, the governing equations for the current flow are converted into a nonlinear system. The finite element method is employed to obtain multiple results for the condensed system. The significance of various emerging parameters related to current study is stimulated and analyzed thoroughly trough the graphs of profiles of temperature and velocity, moreover, temperature gradient and drag force are also taken into account. The outcomes indicating that radiation and dissipation effects increase entropy As a result, entropy can play a crucial role in the artificial process used to analyze brain activity. Due to the presence of silver nanoparticles in blood flow, the velocity and temperature also increase.
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