Fluid mechanics

Explore fluid statics and pressure, including absolute and gauge pressure, hydrostatic variation with depth, buoyancy, and devices like manometers and barometers.

Explore fluid kinematics in fluid mechanics by contrasting Lagrangian and Eulerian descriptions, visualize flow with streamlines, pathlines, and streaklines, and apply Reynolds transport theorem to connect system and control-volume analyses.

Derives Bernoulli's equation for steady, incompressible, inviscid flow, linking pressure, velocity, and elevation along a streamline with negligible friction. Includes a pipe-flow example illustrating head and compressor requirements.

Explore the finite control volume approach to fluid mechanics, applying mass, momentum, and energy conservation to analyze flows through a chosen control volume.

Apply dimensional analysis to convert dimensional equations into non dimensional forms with Buckingham pi theorem, noting dimensional homogeneity and the roles of Freude number and Reynolds number.

Apply differential analysis to fluid flow by deriving the differential continuity and not Stokes equations from conservation of mass and Newton's second law for every point.

Derive simplified Navier-Stokes results for a two-plate Couette flow with steady, fully developed, incompressible Newtonian fluid, yielding a linear velocity profile, then discuss creep flow and high Reynolds flows.