Syllabus :
Introduction: Basic ideas of continuum, fluid properties including viscosity, surface tension and vapour pressure. Fluid Statics: Hydrostatic pressure distribution, Manometry, Forces on submerged bodies, Buoyancy and Flotation, Stability of floating bodies, Pressure distribution in rigid body motion. Fluid Kinematics: Lagrangian and Eulerian descriptions, Deformation of fluid element, Strain rates, Vorticity, Flow description using pathline, streamline and streak line. Conservation laws: Reynolds Transport Theorem, Integral form of conservation laws – mass, linear momentum, angular momentum and energy, Differential form of conservation laws, Elementary derivation of Navier-Stokes equations, Exact solution to Navier-Stokes equations: plane Couette flow and plane Poiseuille flow, Inviscid flows: Bernoulli equation and applications, overview of various losses. Plane potential flows: Streamfunction-velocity potential, governing equations and boundary conditions, superposition, source, sink, free-vortex, doublet, Rankine half-body, Flow past a circular cylinder, D'Alembert's Paradox, effect of circulation and the Kutta-Zhukhovsky lift theorem, Airfoil theory: generation of circulation and the Kutta condition, Zhukovsky transformation and lift force on a Zhukovsky airfoil
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Reference Books :