Liquids are fascinatingly versatile substances, able to transition between states of tranquil calmness and utter violent upheaval. Steady motion, a state characterized by predictability, occurs when molecules move in an organized fashion, creating a flow that is uninterrupted. Conversely, turbulence emerges when these forces become randomized, resu

Engineering design depends heavily on the principles and algorithms of mathematics. With fundamental calculations to complex simulations, mathematical representations provide engineers with the tools to analyze, design, and optimize systems. A deep knowledge of mathematical theories is essential for tackling engineering challenges and constructing