Introduction to Fluid Mechanics and its diverse applications; The continuum hypothesis and property; The Stress tensor
Fluid statics; Fluid Kinematics - Lagrangian and Eulerian descriptions, Steady vs unsteady flows, Graphical description of flows
Kinematics continued: Rate of deformation of a fluid element, Vorticity and angular rotation, strain rate tensor, decomposition of velocity gradient into shear strain rate and rotation. Constitutive model for a Newtonian Fluid; Reynolds Transport Theorem; Conservation of mass – integral and differential form
Integral and differential form of force balance, Application to various flows; Boundary and interface conditions
Exact solution to flow equations - flow between two parallel plates, Flow in a pipe of circular section, Reynolds experiments to demonstrate transition to turbulence
Integral Form of Total Energy Equation and its applications to ducted fan and wind-tunnel, Bernoulli Equation
Application of Bernoulli Equation to flow measurements: venturi meter, orifice meter, flow nozzle; Similitude and Modeling, Non-dimensional parameters, Application to testing
Flow in a pipe, Entrance Length, Laminar and turbulent flows, surface roughness, friction factor, losses
Flow regimes and approximations; low Reynolds number flows; High Reynolds number flows, Concept of Boundary Layer
Inviscid flows, Potential flows, Superposition of simple flows
Flow past a cylinder – potential flow vs real flow; flow separation; Streamlined vs Bluff bodies;Turbulent vs Laminar Boundary Layer
Flow past Spinning Cylinder, Lift generation, Fluid dynamics of sports balls