In the realm of fluid dynamics, the concept of streamlines serves as a visual depiction of fluid flow. For gases in steady motion, streamlines indicate paths that remain constant over time. These smooth, continuous lines exemplify orderly and predictable movement. Conversely, turbulent flows exhibit chaotic and unpredictable patterns, with streamli

Semiconductors play a vital role in modern electronics due to their ability to manipulate the flow of electricity under specific conditions. They can be broadly classified into two categories: intrinsic and extrinsic semiconductors. Intrinsic semiconductors, such as pure silicon or germanium, possess limited conductivity because their valence band