Introduction – Newton’s law of viscosity – Concept of stress – Cauchy’s equation
Hydrostatics
Kinematics – Lagrangian vs. Eulerian description of flow – streamlines, streaklines and pathlines
Integral flow analysis (systems v/s Control volume) – Reynolds transport theorem – mass balance – momentum balance – energy balance – Bernoulli’s equation.
Differential flow analysis – mass balance – stream function – constitutive relations – Navier Stokes’ equations – boundary conditions – Exact solutions for pipe and channel flow – inviscid approximation – Euler’s equation – potential flow – derivation of BE
Dimensional analysis – $\Pi$ theorem – similitude – head loss in pipe flow – order of magnitude analysis