Impact of nonlinear thermal radiation on three-dimensional unsteady flow of carbon nanotube-suspended nanofluid with different length and radius over a stretching surface

Carbon nanotubes (CNTs) in degrees uenced nano degrees uid is gaining popularity in the industry for solar energy and scratch heat exchanger applications. Consequently, this research focuses on evalu-ating the impact of nonlinear thermal radiation from a CNT-based nano degrees uid on an unsteady three-dimensional nonasymmetric Homann stagnant degrees ux as a function of length and radius. CNTs have remarkable thermal physical properties that appear to be critical for nonlinear thermal transport. As a result, the nonlinear heat transfer properties of H2O composed of single or multiple wall CNTs are studied. The nanomaterial has a length and radius of approximately 3 nm = L = 70 nm and 10 nm = R = 40 nm. Partially di (R) erential equations with appropriate similarity transformations serve as a mathematical model for the process. The numerical so-lution of the simplified system of equations is achieved via the use of the well-known Runge{ Kutta (RK) method in conjunction with the shooting approach. An e (R) ective way to show how a component a (R) ects velocity and temperature, skin frictions in both direction and Nusselt number are utilized in graphical representations. Increasing the unsteadiness parameter causes a re-duction in the temperature profile and the velocity profile in both directions. As " grows larger with F, the skin friction in both directions decreases, while the Nusselt number profile grows larger. In addition, the variation in the Nusselt number is included in the tables, along with a comparison of the model without radiation to the model with radiation.