E50 Fluid Dynamics (Parts I - III)
with Dr. Ascher H. Shapiro
Pricing
39 color videotapesminutes – English / DVD
Also available on DVDs, call for pricing

Today’s rapidly changing technologies demand a thorough understanding of the principles of fluid dynamics . . . and a knowledge of how to apply them. Aeronautical, biomedical, chemical, civil, marine, and mechanical engineers, as well as meteorologists and physical oceanographers, will find the application of fluid dynamics to their work to be illuminating and important.

Part I, Concepts, Principles, and Flow Phenomena Due to Inertia, deals primarily with friction-free behavior.
Part II, Viscous Behavior, covers additional types of behavior shown by real fluids displaying the frictional property of viscosity.
Part III, Deeper Insights, builds on Parts I and II to expand on topics treated in the earlier videocassettes and to explore more advanced subjects.

The Complete Course Includes: 39 color videotapes, three (3) Video Course Manuals (125 pp.), and the textbook, Fluid Mechanics, by M.C. Potter and J.F. Foss (588 pp). Available on DVD

Topics Covered Include:

Tape 1: Introduction to the Subject of Fluid Dynamics

Tape 2: Hydrostatics

Tape 3: Surface Tension

Tape 4: Kinematics of Fluid Motion

Tape 5: Conservation of Mass

Tape 6: Introduction to Inviscid Flow I: Bernoulli’s Equation

Tape 7: Introduction to Inviscid Flow II: Bernoulli’s Equation

Tape 8: Control Volumes and Reynolds’ Transport Theorem

Tape 9: The Momentum Theorem I

Tape 10: The Momentum Theorem II and the Theorem of Moment of Momentum I

Tape 11: The Theorem of Moment of Momentum II

Tape 12: Wave Propagation I

Tape 13: Wave Propagation II

Tape 14: Wave Propagation III

Tape 15: One-Dimensional, Steady, Compressible Flow I

Tape 16: One-Dimensional, Steady, Compressible Flow II

Tape 17: Free-Surface Channel Flow

Tape 1: Quasi-Parallel Viscous Flows I

Tape 2: Quasi-Parallel Viscous Flows II

Tape 3: Quasi-Parallel Viscous Flows III

Tape 4: The Navier-Stokes Equation

Tape 5: Dynamic Similitude and Model Testing

Tape 6: Dimensional Analysis

Tape 7: Inertia-Free Flows

Tape 8: Flows at High Reynolds Number

Tape 9: The Laminar Boundary Layer

Tape 10: Turbulence

Tape 11: Turbulent Shear Flows

Tape 12: Head Losses in Piping Systems

Tape 1: Vorticity, Circulation, and Vortices

Tape 2: Kelvin’s Circulation Theorem

Tape 3: Helmholtz’s Vorticity Equation

Tape 4: Helmholtz’s Vortex Laws

Tape 5: Potential Flow I

Tape 6: Potential Flow II

Tape 7: Lift

Tape 8: High-Speed Gas Flow

Tape 9: Drag

Tape 10: Fluid Dynamic Instabilities

E50-1 Fluid Dynamics (Part I) Concepts, Principles, and Flow Phenomena Due to Inertia
with Dr. Ascher H. Shapiro
$1,575.00
17 color videotapes – English /DVD
Also available on DVDs, call for pricing

Tape 1: Introduction to the Subject of Fluid Dynamics

What is fluid? – The scope and applications of fluid dynamics – The underlying physical principles: conservation of mass, Newton’s laws, thermodynamics, constitutive relationships – Concepts of the continuous medium, continuum properties, and continuum fields – Categories of forces: body; stress; interfacial – Stress at a point – The stress tensor – Hydrostatic state of stress.

Tape 2: Hydrostatics

The scalar pressure field required for hydrostatic equilibrium with a body force – Pressure distributions for incompressible and compressible fluids in the earth’s gravity field, and in the centrifugal field of a rotating fluid mass – Shapes of isobaric and isochoric surfaces – Applications: manometers, buoyancy, forces on submerged areas, earth’s atmosphere, gas centrifuge, free surfaces.

Tape 3: Surface Tension

Nature of surface tension, and range of applications – Pressure jump across an interface – Bubbles and droplets – Surfaces of minimum area – Contact angle – Wetting and non-wetting; waterproofing – Motions produced by gradients of surface tension due to impurities, temperature gradients, and electric fields.

Tape 4: Kinematics of Fluid Motion

Definitions of Kinematic concepts: pathline, streakline, time line, streamline, stream tube, stream filament, steady flow, Galilean transformation – Lagrangian and Eulerian descriptions – The material, or substantial, derivative – The control volume – Fluxes of mass, momentum, energy, and entropy.

Tape 5: Conservation of Mass

General equation of continuity for three-dimensional, time-varying flow – Example: development of a viscous boundary layer – Continuity equation for a general one-dimensional, unsteady flow in a compliant tube; special cases – Example: viscous flow development in the entry region of a tube.

Tape 6: Introduction to Inviscid Flow I: Bernoulli’s Equation

Conservative and non-conservative body force fields – Euler’s differential equations of inviscid motion – Bernoulli’s integral – Stagnation pressure and total head – Steady-flow examples and applications: general one-dimensional flow; inlet bell-mouth; nozzle; venturi; cavitation; distribution manifold; airfoil lift.

Tape 7: Introduction to Inviscid Flow II: Bernoulli’s Equation

Further examples and applications of Bernoulli’s integral for steady flow: stagnation point; stagnation pressure; pitot-static tube; lawn sprinkler – Euler’s equations of inviscid motion in streamline coordinates – Effects of streamline curvature – Examples and applications: nozzle; venturi; bend; airfoil cascade; Coanda effect; airfoil lift; contraction section; concave corner; convex corner; solid-body rotation.

Tape 8: Control Volumes and Reynolds’ Transport Theorem

Definitions of control volume and control surface – Reynolds’ Theorem for expressing the time rate of change of an extensive property of a material system of fixed identity in terms of conditions within and at the boundaries of a control volume – Particular forms of the control volume theorem for conservation of mass – Newton’s laws of motion, and the first and second laws of thermodynamics – Examples: application of the momentum theorem – Guidelines for control-volume analysis.

Tape 9: The Momentum Theorem I

Control-volume analysis using the momentum theorem – Determination of drag by wake survey – Derivation of Euler’s equations by momentum theorem – Constant-area internal flows: pressure differences due to unsteadiness and to density changes brought about by head transfer, phase change or combustion – Pressure differences due to changes in non-uniformity of velocity profile – Examples and applications: developing velocity profile at duct inlet; a sudden enlargement.

Tape 10: The Momentum Theorem II and the Theorem of Moment of Momentum I

Further examples and applications of the momentum theorem: the jet pump; flow through a bend; forces due to jets; jet spreading; rocket thrust; jet-engine thrust; two-dimensional cascase – The theorem of moment of momentum – Examples and applications: flow through an elbow-nozzle; the lawn sprinkler.

Tape 11: The Theorem of Moment of Momentum II

The sink-vortex, hurricanes, tornadoes, whirlpools, spiral diffusers – Euler’s Pump and Turbine Equation – Performance of a simple axial-flow fan or pump – Performance of a simple centrifugal fan or pump.

Tape 12: Wave Propagation I

The physics of wave propagation – Analysis of one-dimensional propagation of compressibility waves, long gravity waves, and area waves in a compliant tube – The linearized wave equation and its solution – Physical interpretation of the mathematical solution: disturbances of density, height, or area propagating at a characteristic wave speed.

Tape 13: Wave Propagation II

Waves in compliant tubes – Speed of compressibility waves in liquids and gases – Nonlinear changes in the shape of large-amplitude waves – Calculation rules for small-amplitude waves – Solution by step wavelets – The four elementary step wavelets – Types of wavelet events: generation by pressure or velocity, crossing, reflections at open and closed ends.

Tape 14: Wave Propagation III

Examples and applications: sudden valve closure; water hammer; cavitation; impact; shock tube – Start of flow from a reservoir, analyzed on three different time scales: quasi-steady; incompressible fluid; compressible fluid – Nonlinear development of shock waves – Moving sources of waves.

Tape 15: One-Dimensional, Steady, Compressible Flow I

Differential equations for one-dimensional conservation of mass, momentum, and energy – Adiabatic flows – Isentropic (frictionless, adiabatic) flows, for a general fluid – The critical state (flow speed = wave speed) – Choking at maximum flow per unit area – Mach number – Detailed results for a liquid of constant compressibility – Detailed results (Mach number functions and tables ) for a perfect gas.

Tape 16: One-Dimensional, Steady, Compressible Flow II

Mach number as an index of compressibility effects – Nozzle shape required to accelerate fluid at subsonic and supersonic speed: subsonic venturi; Laval convergent-divergent nozzle; sonic throat – Differential equations for isentropic flow of a perfect gas; key role of Mach number – Types of integral curves – Choking – Continuous passage from subsonic to supersonic flow – The normal shock wave in a perfect gas – The supersonic pitot tube.

Tape 17: Free-Surface Channel Flow

Steady flow in an open channel under the action of gravity and friction – Governing equations for a rectangular channel – Froude number, subcritical and supercritical flow – Effects of friction, bottom slope, and change of channel width – Critical depth – Depth contours for various bottom slopes – Frictionless, constant-width flow – Examples and applications: rise of channel floor; hump in channel floor; free overfall – Hydraulic jump.

E50-2 Fluid Dynamics (Part II)
with Dr. Ascher H. Shapiro
$1,110
12 color videotapes – English /DVD
Also available on DVDs, call for pricing

E50-3 Fluid Dynamics (Part III)
with Dr. Ascher H. Shapiro
$930
10 color videotapes – English / DVD
Also available on DVDs, call for pricing