This course deepens the understanding of fluid motion by focusing on the kinematics and dynamics of fluids using both differential and integral approaches. The first part introduces fluid kinematics, including reference systems, the differential form of the continuity equation, and the concepts of volumetric and mass flow rates. It explores rotational and irrotational flows, circulation, vorticity, potential flows, and planar flow fields. Students study the superposition of elementary potential flows, graphical methods, and elements of complex potential theory, including conformal transformations.
The second part develops control volume analysis based on the fundamental conservation laws. It covers the conservation of mass, linear momentum, and angular momentum for fixed, moving, and deformable control volumes. The application of Newton’s second law to fluid motion is emphasized through the derivation and practical use of momentum equations.
The final part focuses on dimensional analysis and similarity principles, providing tools for scaling experimental data and modeling real-world fluid systems. Through dimensional reasoning and similarity theory, students learn to design experiments and interpret physical phenomena effectively.