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# fluid mechanics

Semester : IV

Course Code : 18ME43

CIE Marks : 40                       SEE Marks : 60

Module – 1

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Module – 2

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Module – 3

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Module – 4

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Module – 5

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## FLUID MECHANICs 18ME43

### Module-1

Basics: Introduction, Properties of fluids-mass density, weight density, specific volume, specific gravity, viscosity, surface tension, capillarity, vapour pressure, compressibility and bulk modulus. Concept of continuum, types of fluids etc., pressure at a point in the static mass of fluid, variation of pressure. Pascal’s law, absolute, gauge, atmospheric and vacuum pressures; pressure measurement by simple, differential manometers and mechanical gauges. Fluid Statics: Total pressure and centre of pressure for horizontal plane, vertical plane surface and inclined plane surface submerged in static fluid.

### Module-2

Buoyancy, center of buoyancy, meta center and meta centric height its application. Fluid Kinematics: Velocity of fluid particle, types of fluid flow, description of flow, continuity equation, Coordinate free form, acceleration of fluid particle, rotational & irrotational flow, Laplace’s equation in velocity potential and Poisson’s equation in stream function, flow net.

### Module-3

Fluid Dynamics; Introduction. Forces acting on fluid in motion. Euler’s equation of motion along a streamline. Integration of Euler’s equation to obtain Bernoulli’s equation, Assumptions and limitations of Bernoulli’s equation. Introduction to Navier-Stokes equation. Application of Bernoulli’s theorem such as venturi-meter, orifice meter, rectangular and triangular notch, pitot tube. Laminar and turbulent flow: Flow through circular pipe, between parallel plates, Power absorbed in viscous flow in bearings, Poiseuille equation – velocity profile loss of head due to friction in viscous flow. Reynolds’s experiment, frictional loss in pipe flow. Introduction to turbulence, characteristics of turbulent flow, laminarturbulent transition major and minor losses.

### Module-4

Flow over bodies: Development of boundary layer, Prandtl‟s boundary layer equations, Blasius solution, integral momentum equation, drag on a flat plate, boundary layer separation and its control, streamlined and bluff bodies -flow around circular bodies and aero foils, calculation of lift and drag. Dimensional analysis: Introduction, derived quantities, dimensions of physical quantities, dimensional homogeneity, Rayleigh’s method, Buckingham Pi-theorem, dimensionless numbers, similitude, types of similitude.

### Module-5

Compressible Flows: Introduction, thermodynamic relations of perfect gases, internal energy and enthalpy, speed of sound, pressure field due to a moving source, basic Equations for one-dimensional flow, stagnation and sonic properties, normal and oblique shocks. Introduction to CFD: Necessity, limitations, philosophy behind CFD, applications.