Fluid mechanics

The text thoroughly examines the fundamentals of fluid mechanics for both density-consistent and density-variable fluids. The detailed derivation of the fundamental equations forms the basis for discussing flows relevant to engineering practice, including laminar and turbulent pipe flow, vortex flows, potential flows, boundary layer flows, and multiphase flows. Despite the mathematical presentation, the descriptive text conveys a direct connection to everyday technical challenges. The aim of the discussion is to spark the reader's interest in analyzing fluid mechanical problems and to demonstrate the wide range of technical applications of fluid mechanics. The dynamics of the flows are illustrated in the manuscript through videos embedded via a QR code. The copyright for these videos is held by the Aerodynamic Institute of RWTH Aachen.