Introductory Notions – Velocity – Stream Lines and Path Lines – Stream Tubesand Filaments – Fluid Body – Density – Pressure. Differentiation following the Fluid –Equation of continuity – Boundary conditions – Kinematical and physical – Rate of change of linear momentum – Equation of motion of an inviscid fluid.

Euler’s momentum Theorem – Conservative forces – Bernoulli’s theorem in steady motion – energy equation for inviscid fluid – circulation – Kelvin’s theorem–vortex motion – Helmholtz equation.

Two Dimensional Motion – Two Dimensional Functions – Complex Potential –basic singularities – source – sink – Vortex – doublet – Circle theorem. Flow past a circular cylinder with circulation – Blasius Theorem – Lift force. (Magnus effect)

Viscous flows – Navier-Stokes equations – Vorticity and circulation in a viscous fluid – Steady flow through an arbitrary cylinder under pressure – Staedy Couettc flow between cylinders in relative motion – Steady flow between parallel planes.

: Boundary Layer concept –Boundary Layer equations – Displacement thickness, Momentum thickness – Kineticenergy thickness – integral equation of boundary layer – flow parallel to semi infinite flat plate – Blasius equation and its solution in series.