Mechanics of Fluids | Department of Mechanical Engineering

Mechanics of Fluids

1. Introduction: Definition of Fluid and continuum, Physical properties, Newtonian and non-Newtonian fluids, and concept of capillarity
2. Fluid Statics: Fundamental equation of fluid statics, manometers, pressure on plane and curved surfaces, center of pressure, buoyancy, stability of immersed and floating bodies, metacentre & metacentric height.
3. Kinematics of Fluid flow: Lagrangian and Eulerian methods for flow field description, one, two and three dimensional flows, steady and unsteady flows, uniform and non-uniform flows, material derivative and acceleration, streamlines, path lines and steak lines, translation, rotation and rate of deformation of fluid element, vorticity and circulation, concept of steam function and velocity potential.
4. Dynamics of Fluid Flow: System, concept of conservation of mass-continuity equation, differential and integral forms of continuity equation, Reynold’s transport theorem, conservation of momentum, analysis of control volume systems- inertial and non-inertial control volumes, Euler’s equation of motion,
Bernoulli’s equation and its applications to vortex flow and measurement of flow through pipes, Pitot tube, orifice meter, venturi meter, flow through orifices and mouthpieces.
5. Dimensional Analysis and Hydraulic Similitude: Dimensional analysis, Buckingham’s Pi theorem, important dimensionless numbers and their significance, geometric, kinematics and dynamic similarity, model studies.
6. Viscous flows: Viscosity laws, Navier-stokes equation, exact solution of Navier-stokes equation- parallel flow in a straight channel, Couette’s flow, Hagen Poiseuille flow, flow through concentric cylinders, low Reynolds number flow, viscous flow through pipes, Darcy’s friction factor, losses in pipes due to sudden enlargement and contraction, exit and entry losses, losses due to bends and fittings, flow through pipes arranged in parallel and series.

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