Chaotic convection on a nanofluids with feedback control variations

Abstract

This study focuses on the nonlinear stability analysis of nanofluid thermal conductivity and the chaotic convection of feedback control variation. This system of fluid layer addresses external influences on feedback control, gravity, and temperature. The Galerkin method is used to solve a nonlinear system of three-dimensional Lorenz equations. Here we considered a time series analysis idea to combine feedback and nanofluids on the route from stable to chaotic solutions. These studies have been directed at Titanium dioxide (TiO₂), Aluminum trioxide (Al₂O₃), Silver (Ag), and Copper (Cu) nanofluids. Feedback control is mainly emphasized in regulating heat transfer phenomena. This phenomenon is more widely used in engineering, medical sciences, microbiology, and medicine. It has been found that the chaotic behavior of nanofluid convection has a dwelling /delay that can be detected when feedback control changes. The results show that the feedback control has cooling system, which controls the chaotic phase of nanofluid conduction.

Keywords:

• Chaotic convection
• feedback control
• Galerkin method
• Lorenz system
• nanofluids

Disclosure statement

The author states that there is no conflict of interest.

Additional information

Funding

The author would like to thank Deanship of Scientific Research at Majmaah University for supporting this work under Project Number No. R-2023-498.