LECTURES ON FLUID MECHANICS

© Christopher Earls Brennen

FIRST TERM:

LECTURE A1:
    
[1] Introduction to course. Grading scheme. Homework policy. Exam Policy.
[2] Examples of fluid flows from cosmological to microbiological.
[3] Semantics. Hyrdodynamics and aerodynamics.
[4] What is a fluid?
 
LECTURE A2:
    
[1] Properties of fluids. Pressure, density and viscosity. Shear stress. Couette Flow.
[2] Newtonian and non-Newtonian fluids. Couette rheometer. Dynamic and kinematic viscosities.
[3] Fluid statics. Hydrostatic pressure variations. Pressures in oceans and atmospheres.
[4] Measurement of pressure, barometers, manometers and pressure transducers.
[5] Atmospheres, perfect gas law, standard atmospheres.
 
LECTURE A3:
    
[1] Hydrostatics. Forces in a fluid at rest.
[2] Forces and moments on submerged objects.
[3] Center of buoyancy, center of mass. Stability of submerged objects.
[4] Stability of floating objects. Metacentric height.
[5] Surface tension, surface energy.<
 
LECTURE A4:
    
[1] Surface tension, surface energy.
[2] Pressures in bubbles/drops. Pendant drops.
[3] Contact angle. Hydrophilic and hydrophobic surfaces. Capillarity.
[4] Descriptions of fluid motion - Eulerian and Lagrangian views.
[5] Eulerian and Lagrangian fluid volumes and elements.
[6] Relation between the Lagrangian and Eulerian time derivatives and accelerations.
 
LECTURE A5:
    
[1] Eulerian and Lagrangian fluid accelerations. Steady flow.
[2] Continuity equations. Global and differential equations.
 
LECTURE A6:
    
[1] Integral continuity equation.
[2] Streamlines, streaklines and pathlines. Flow visualization and PDV.
[3] Streamfunction. Examples of streamfunctions for simple planar flows.
[4] Free and forced vortices. Stagnation points.
 
LECTURE A7:
    
[1] Streamfunctions for planar compressible flow and for axisymmetric flows.
[2] Newton's law for fluid flows. Various forms of the mass times acceleration.
[3] Forces acting on a fluid element. Forces due to gravity. Forces due to pressure.
[4] Euler's equations of motion for an inviscid fluid. Body force potential.
[5] Euler's equations in cylindrical and spherical coordinates.
[6] Vorticity and rotation of a fluid element. Irrotational flow.
[7] Generation of vorticity at a solid boundary and diffusion of vorticity.
[8] Boundary layers and wakes.
 
LECTURE A8:
    
[1] Irrotational flow. Velocity potential.
[2] Bernoulli's equation.
[3] Total pressure. Loss coefficients.
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LECTURE A9:
    
[1] Total pressure. Loss coefficients.
[2] Examples of hydraulic system analyses.
[3] Nozzles and contraction coefficient.
[4] Flows with energy injection or extraction. Pumps and turbines.
[5] Various pumps. Pump characteristics and design.
 
LECTURE A10:
    
[1] Pump characteristics. Examples and pumps efficiencies.
[2] Jet engines. Compressor stall. Turbomachine design and specific speed.
[3] Cavitation, bubble growth and collapse. Cavitation damage.
[4] Fluid measurements using the Bernoulli effect. Venturi and orifice meters.
[5] Pitot tubes.
 
LECTURE A11:
    
[1] Propeller cavitation.
[2] Pitot probes.
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Last updated 4/9/04.
Christopher E. Brennen