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 Motions – 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 – SteadyCouettc flow between cylinders in relative motion – Steady flow between parallel planes. .
Boundary Layer concept –Boundary Layer equations – Displacement thickness, Momentum thickness – Kinetic energy thickness – integral equation of boundary layer – flow parallel to semi infinite flat plate – Blasius equation and its solution in series.
Reference Book:
1. Modern Fluid Dynamics – (Volume I) by N. CurleaandH.J.Davies, D Van Nostrand Company Limited., London (1968).
Text Book:
1.Theoretical Hydro Dynamics by L.M. Milne Thomson,McMillan Company, 5th Edition (1968). Chapter I: Sections 1.0 – 1.3. Chapter III: Sections 3.10 – 3.53 (omit 3.32, 3.44) 1.Theoretical Hydro Dynamics by L.M. Milne Thomson,McMillan Company, 5th Edition (1968). Chapter I: Sections 1.0 – 1.3. Chapter III: Sections 3.10 – 3.53 (omit 3.32, 3.44) .Theoretical Hydro Dynamics by L.M. Milne Thomson,McMillan Company, 5th Edition (1968). Chapter I: Sections 1.0 – 1.3. Chapter III: Sections 3.10 – 3.53 (omit 3.32, 3.44)