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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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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