Steady motion and turbulent flow represent two distinct regimes within the realm of fluid dynamics. Continuous motion describes a state where fluid particles follow predictable, unchanging trajectories over time, characterized by minimal fluctuations in velocity and pressure. In contrast, turbulent flow exhibits chaotic and unpredictable movements,

Engineering design relies heavily on the principles and algorithms of mathematics. With fundamental calculations to complex simulations, mathematical representations provide engineers with the framework to analyze, design, and enhance systems. A deep understanding of mathematical theories is essential for solving engineering problems and developing