Final answer:
The Reynolds Transport Theorem (RTT) is a fundamental concept in fluid dynamics and engineering that explains how to apply conservation laws to a moving or changing control volume by considering both the flux and change in properties over time.
Step-by-step explanation:
The Reynolds Transport Theorem (RTT) primarily describes the relationship between a system approach and a control volume approach for the analysis of conservation principles in fluid dynamics. RTT is essential in engineering, specifically in the fields of fluid mechanics and thermodynamics. It enables the application of conservation laws (such as mass, momentum, and energy) to a control volume that could be stationary or moving, and may also be changing in size or shape. This theorem takes into account both the flux of the property across the control surface as well as the change of the property within the control volume over time.
RTT is formulated by integrating the property of interest over the control volume and differentiating it with respect to time. It accounts for both the advective and storage/transient terms. Whether the fluid system being studied is an open or closed system, the Reynolds Transport Theorem provides a powerful tool to relate local and global descriptions of fluid flow.