2K6CE 306 FLUID MECHANICS -I

MODULE I (13 Hrs)
Classification of fluids – Properties of fluids – Control volume concept. Fluid States: Fluid pressure – measurement of pressure – forces on immersed plane and curved surfaces – Buoyant force – Stability of floatingand submerged bodies. Kinematics of fluids: Methods of describing fluid motion – Steady and unsteady flow – Uniform and non-uniform flow – One, two and three dimensional flow – Streamlines, path lines and streak lines – conservation of mass – equation of continuity – convective and local acceleration – translation, rotation, and rate of deformation – Irrotational flow – vorticity – velocity potential and stream function – Laplace equation – flow net – Solution of flow net by graphical method.
MODULE II (13 Hrs)
Fluid Dynamics: Forces influencing motion – Body force and Surface force – Energy and Head – Euler equation – Integration of Euler equation – Bernoulli’s equation – Momentum equation – Energy and momentum correction factors – Fluids subjected to uniform, horizontal and vertical acceleration – Motion of fluid with uniform rotation – Vortex motion – Free and forced vortex. Application of Bernoulli’s Equation – Stagnation pressure – Pitot tube – Prandtl pitot tube – Venturimeter – Orifice plate – Flow nozzles – Orifices – Hydraulic coefficients of orifices – Mouth pieces – Sharp crested weirs – Rectangular, triangular and trapezoidal – Contracted weirs – Proportional weir – Broad crested weirs.
MODULE III (13 Hrs)
Flow of Viscous Incompressible Fluids: Dependence of shear on pressure – Laminar flow through circular pipe – Hagen-Poisseulle equation – Darcy’s law for flow through porous media – Stokes law – Transition from laminar to turbulent flow – Reynolds’s experiments. Turbulent flow through pipes: Classification of turbulence – Velocity distribution in turbulent flow – Smooth and rough pipes. Problems in Pipe Flow: Energy losses in transitions – Major losses and minor losses – Equivalent length – Pipe open to atmosphere – Pipe connecting reservoirs – Pipes in series – Pipes in parallel – Siphons – Branching pipes – Pipe networks.
MODULE IV (13 Hrs)
Dimensional Analysis: Scope of dimensional analysis – Physical dimensions – Dimensional homogeneity – Complete set of dimensionless products – Raleigh’s theorem – Buckingham π theorem (Proof not required) – Calculation of dimensionless parameters – Examples of drag on a ship, pressure drop in pipe flow, flow over weirs and orifices. Principle of similitude: Geometric, kinematic and dynamic similarities – Special model laws – Froude and Reynold’s laws – Weber, Cauchy and Mach numbers – Applications involving only Froude’s and Reynold’s laws. Boundary layer theory: Boundary layer growth in flow over a plate, flow past immersed bodies.

References
1. Sreeter, V. L. and Wylie, E. B., Fluid Mechanics, McGraw Hill
2. Shames, I. H., Mechanics of Fluids, McGraw Hill
3. Modi, P. N. and Seth, S. M., Hydraulics and Fluid Mechanics including Fluid Machines, Standard Book House
4. Subramanya, K., Theory and Applications of Fluid Mechanics, Tata McGraw Hill Publishing Co.