Fluid Mechanics

Course content

Introductory remarks, definitions, physical properties of fluids, definitions of density, pressure and viscosity. Fluid statics, pressure variation in a fluid, forces acting on flat and curved surfaces, buoyancy. Fluid kinematics, motion of a fluid element, rotation, deformation. Eulerian and Lagrangian flow descriptions, pathlines, streaklines, timelines and streamlines. Eulerian and Lagrangian flow descriptions, conservation laws, system-control volume approaches, Reynolds Transport theorem. Governing integral equations of fluid flow, conservation of mass, conservation of linear momentum and angular momentum, conservation of energy, Bernoulli’s equation and its applications. Differential analysis of fluid flow, Navier-Stokes equations, Couette flow, Poiseuille flow. Turbulent flows in pipes.