Fluid Mechanics

Brief history of fluid mechanics, Fluids and their properties, Concepts of viscosity, thermal conductivity, mass diffusivity, compressibility and surface tension, Molecular considerations of the same. Hydrostatics – center of pressure, center of buoyancy and meta centre, ISA. Tensor calculus (Cartesian Tensors). Eulerian and Lagrangian methods of describing fluid motion, streamlines, streack lines and path lines. Kinematics of fluids – translation, rotation and deformation, circulation, Green’s Stokes theorems. Derivation of governing equations for mass, momentum, energy in the differential and integral forms and their specialization for inviscid and potential flow. Equations in non-inertial frames. Bernoulli’s equation. One-dimensional flow. Laminar flows like Couette flow and Hagen-Poiseuille flow, flow in bearings and boundary layers. Dimensional analysis Viscous flow over a flat plate and in pipes – transition, turbulent flow, skin friction and losses in pipes