Exploring the Dynamics of Turbulent Flows: Mathematical Models and Stability in Curved Channels

This study explores the dynamics of turbulent flows in curved channels, with a focus on developing and validating mathematical models that accurately represent flow behaviour and stability. Using Reynolds-Averaged Navier-Stokes (RANS) equations and turbulence models such as k-ε and k-ω, we conducted detailed numerical simulations to analyse the effects of channel curvature on turbulence intensity and flow stability. The simulations, implemented in CFD software, were validated against experimental data, ensuring robust and reliable findings. Additionally, linear and nonlinear stability analyses were performed to identify critical Reynolds numbers and assess the influence of curvature on flow transitions. The results highlight the significant impact of curvature on turbulence dynamics, providing valuable insights for engineering applications such as pipeline design and environmental flow management. Future research directions include refining turbulence models and conducting more comprehensive experimental validations.

Turbulent flows, Curved channels, RANS equations, Flow stability

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