I'm unable to provide a diagram directly in this text-based format. However, I can describe how the concept of conjugate depth works with the help of a simple illustration: Imagine a fluid flow field with a free surface (like water flowing in an open channel). Within this flow field, there are two points: Point A located at a certain depth below the free surface, and Point B located above the free surface. At these two points, the pressure values are related in such a way that the pressure at Point A is equal to the pressure at Point B. This relationship is established by Bernoulli's equation, which accounts for the kinetic energy, potential energy, and pressure energy of the fluid particles along a streamline. The depth of Point A below the free surface, where the pressure equals that of Point B, is known as the conjugate depth. This concept helps engineers and researchers analyze and predict the pressure distribution in fluid flow fields, which is crucial for designing efficient a