17-01-2015, 06:44 PM

Fluid Mechanics Full Hand Written Lecture Notes from Reputed Institutions and Faculties. Useful for Mechanical Engineers , Specially for Candidates Appearing for GATE Exams.

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Content :

Fluid properties

Density or mass density

Specific weight or weight density

Specific gravity

Compressibility

Newton’s law of viscosity

Unit of viscosity

Variation of viscosity with temperature

Equation for the linear velocity profile

Non-newtonian fluid

Surface tension

Capillarity

Capillary rise between two parallel plates

Pressure measurement

Manometry

Vaccum pressure

Pascal law

Hydrostatic law

Application

Piezometer

Bunyancy and floatation

Centre of buoyancy

Principle of floatation

Types of equilibrium

Hydrostatic forces

Fluid kinematics

Types of fluid flow

1. Steady and unsteady flow

2. Uniform and non-uniform flow

3. Laminar and turbulent flow

4. Rotational and irrotational flow

Stream line

Equation of a stream line

Path line

Streak line

Acceleration of fluid particle

Discharge

Rotational components

Circulation

Velocity potential

Stream function

Cauchy-reimann

FLUID DYNAMICS

Laminar flow in viscous flow

Bernoulli’s equation

Assumption

Relationship between first law of thermodynamics

Bernoulli’s equation for a real fluid flow problem

Application

Venturimeter

Principle of venturimeter

Co-efficient of discharge

Pitot tube

Velocity in open channel

Velocity in pipes

LAMINAR FLOW

Reynold’s number

Darcy-weisbach equation

Laminar flow through circular pipes

Assumption

1. Steady flow

2. Fully developed flow

Velocity distribution

Average velocity

Pressure drop in a length

Shear velocity

Momentum correction factor

Vortex motion

General equation for vertex motion

Free vertex motion

Forced vertex motion

FLOE THROUH THE PIPES

Classification

1. Major losses

a. Darcy-weisbach equation

b. Chezy’s formula

2. Minor losses

Sudden expansion loss

Sudden contraction loss

Entrance loss

Hydraulic gradient line total energy line

Pipes in series

Equivalent pipes

Pipes in parallel

Power transmission through pipes

Water hammering in pipes

BOUNDARY LAYERS THEORY

DEVELOPMENT OF BOUNDARY LAYERS OVER A FLAT PLATE

Displacement thickness

Momentum thickness

Energy thickness

Boundary condition

Von-karmann momentum integral equation

Assumption

Boundary layer separation

DIMENSIONAL ANALYSIS

Rayleigh’s method of grouping

Buckhingham’s pie theorem

Similitude and modelling

Various forces

1. Inertia force

2. Viscous force

3. Gravity force

4. Surface tension force

5. Pressure force

6. Elastic force

Various dimensionless number in fluid mechanics

Geometric similarity

Kinematic similarity

Dynamic similarity

Velocity distribution for smooth pipes

Velocity distribution for rough pipes

Friction factor in turbulent flow

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