In the captivating realm of fluid dynamics, understanding how liquids behave is paramount. Two fundamental regimes define fluid motion: steady motion and turbulence. Steady motion depicts a smooth, predictable flow where velocity at any given point remains unchanging. Conversely, turbulence represents chaotic, erratic motion with fluctuating veloci

Mathematics serves as the bedrock for engineering, furnishing a precise and quantifiable language to describe and analyze the world around us. Engineers rely on mathematical principles to construct structures, systems, and processes that are safe, efficient, and reliable. From estimating forces and stresses in structures to simulating complex pheno