Fluid Mechanics with Naval Applications
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J. Alan Adams, Ph.D.
Department of Mechanical Engineering
United States Naval Academy
Each lecture below contains Objectives, Theory, Solutions
and Review Questions that
complement formal classroom lectures. Mathcad 2001i Professional-Academic
edition is used.
Users external to USNA will need Mathcad
2001i or higher to read the .mcd files.
Use Microsoft Internet Explorer
to download the .mcd files to your computer.
Scroll
screen down to view the entire Index and click on lecture of choice.
Preface(Prefacefl.htm)
Chapter 1: Fluid Statics
Air Pressure Variation with Height(I-1.htm)
Immersion(I-2.htm)
Flotation of a Hollow Sphere in Seawater(I-3.htm)
Interpolation and Curve Fitting(I-4.htm)
Static Pressure in a Fluid with Variable Specific Weight(I-5.htm)
Static Force in a Fluid with Variable Specific Weight(I-6.htm)
Ocean Pressure as a Function of Depth(I-7.htm)
Chapter 2: Buoyancy and Ship Stability
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Buoyancy Forces on Submerged and Floating Surfaces(II-1.htm)
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Metacentric Height(II-2.htm)
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Simpson's Rule and Centroid of Areas(II-3.htm)
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Moment of Inertia and Numerical Integration(II-4.htm)
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Moment of Inertia and Stability for Floating Assembly(II-5.htm)
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Stability for Barge and Catamaran(II-6.htm)
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Design of Draft and Breadth to produce required Block Coefficient(II-7.htm)
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Calculation of Waterplane Area and LCF(II-8.htm)
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Design of a CVS Hull(II-9.htm)
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Initial Iteration for Design of a Frigate Hull(II-10.htm)
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One Solution to Problem II-10 [Design of a Frigate Hull](II-11.htm)
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Design of a YPx3 Hull with Ship Stability(II-12.htm)
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List Angle and Free Surface Effects due to Ship Flooding(I-13.htm)
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Free Surface Effect on List Angle(II-14.htm)
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Full Ship Design from given Digitized Curves of Form(II-15.htm)
Chapter 3: Potential Flow
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Streamlines in x-y Coordinates(III-1.htm)
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Streamlines in Polar Coordinates(III-2.htm)
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Streamlines and Pressure Gradient(III-3.htm)
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Flow over a Rankine Half-Body(III-4.htm)
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Potential Flow over Rankine Half-Body in Rectangular Coordinates(III-5)
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Potential Flow over Rankine Oval using Polar Coordinates(III-6.htm)
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Potential and Streamlines for Rankine Half-Body in Polar Coordinates(III-7.htm)
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2-D Potential Flow over a Non-rotating Cylinder(III-8.htm)
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2-D Potential Flow over a Rotating Cylinder with Small Circulation(III-9.htm)
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2-D Potential Flow over a Rotating Cylinder with Large Circulation(III-10.htm)
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Conformal Transformation of Origin Centered Circular Cylinder to Elliptical
Oval(III-11.htm)
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Conformal Transformation from a Cylinder to a Joukowski Airfoil(III-12.htm)
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Numerical Solution to a 2-D, Irrotational Vector Field using Euler Heun(III-13.htm)
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Numerical Solution to a Rankine Oval Vector Field using Euler Heun(III-14.htm)
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Numerical Solutions to Vector Fields using Runge-Kutta and Euler Heun(III-15.htm)
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Streamlines and Potential Lines over a Cylinder using Euler-Heun Integration and Conformal Transformation(III-16.htm)
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Family of Streamlines and Potential Lines using Quadratic Form(III-17.htm)
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Euler-Heun Integration for Flow around a Rotating Cylinder(III-18.htm)
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Streamlines and Potential Lines inside a Cylinder(III-19.htm)
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Numerical Solution to a 2-D, Irrotational Vector Field for an Airfoil(III-20.htm)
Chapter 4: Lift and Drag
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Experimental Measurements of Drag(IV-1.htm)
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Experimental Velocity Measurements in an Airfoil Wake(IV-1A.htm)
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Experimental Measurements of Lift(IV-2.htm)
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Lift and Drag Coefficients for Finite Wings(IV-2A.htm)
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Experimental Measurements for Lift of NACA Airfoil(IV-3.htm)
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Analysis of Particle Motion in Air Subject to Gravity, Drag and Bouyancy
Forces(IV-4.htm)
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Analysis of Particle Motion in Oil Subject to Gravity, Drag and Bouyancy
Forces(IV-4A.htm)
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Lift and Drag for Operating Vehicles(IV-5.htm)
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Theory of Resistance for Surface Ships(IV-6.htm)
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Theory of Resistance for Submerged Ships(IV-7.htm)
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Theory of Similarity and Modeling(IV-8.htm)
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Incomplete Similarity for Surface Ship Modeling(IV-9.htm)
Chapter 5: Incompressible Internal Viscous Flow
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Review of Theory(V-1.htm)
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Friction in Internal Viscous Flow(V-2.htm)
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Head Loss in Internal Viscous Flow(V-3.htm)
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Flow due to Gravity(V-4.htm)
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Quasi-Steady Gravity Flow with a Variable Head(V-5.htm)
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Draining and Filling with Laminar Flow(V-6.htm)
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Draining and Filling with Turbulent Flow(V-7.htm)
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Steady Gravity Flow with a Constant Head(V-8.htm)
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Pumping Requirements for a Pipeline(V-9.htm)
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Incompressible Flow of Compressed Air(V-10.htm)
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Gravity Flow in Parallel(V-11.htm)
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Pressure Driven Parallel Flow Piping Systems(V-12)
Chapter 6: Panel Methods for Low Speed Aerodynamics
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Discrete Lumped Vortex Elements used to represent a Flat Plate (VI-1.htm)
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Discrete Lumped Vortex Elements used to represent a Wedge (VI-2.htm)
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Linearly Varying 2-D Vortex Panel Method with 9 Panels (VI-3.htm)
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Linearly Varying 2-D Vortex Panel Method with 12 Panels (VI-4.htm)
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2-D Grid Generator for Non-Cambered Van de Vooren Airfoil (VI-5.htm)
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Vortex Panel Method for Non-Cambered Airfoils using Matrix Inversion (VI-6.htm)
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Vortex Panel Method for Cambered Airfoils using Matrix Inversion (VI-7.htm)
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Vortex Panel Method for Non-Cambered Airfoils using Cramer's Rule (VI-8.htm)
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2-D Pressure Coefficient over a Modified Circular Arc Airfoil (VI-9.htm)
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Cambered Airfoil Definition by use of Bezier Blending Functions (VI-10.htm)
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Uniform Panel Method for Lift of a Cambered Airfoil (VI-11.htm)
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Uniform Panel Method for Lift of a Non-Cambered Airfoil (VI-12.htm)
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Panel Method using Descrete Vortices with Van de Vooren Airfoil (VI-13.htm)
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Uniform Panel Method for Lift of Multiple Cambered Airfoils (VI-14.htm)
Chapter 7: Internal Compressible Flow
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Introduction to Compressible Gas Flow in a Constant Area Pipe with Friction(VII-1.htm)
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Frictional, Adiabatic Compressible Gas Flow(Fanno Line Flow)(VII-2.htm)
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Frictionless Flow in a Constant Area Pipe with Heat Transfer(Rayleigh Line
Flow)(VII-3.htm)
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Isothermal Compressible Flow in a Constant Area Duct(VII-4.htm)
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Isentropic Compressible Flow in a Converging Nozzle(VII-5.htm)
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Isentropic Compressible Flow in a Converging-Diverging Nozzle(VII-6.htm)
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Compressible Flow in a Constant Area duct with a Normal Shock(VII-7.htm)
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Compressible Nozzle Flow with a Normal Shock(VII-8.htm)
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Fanno Line Flow with a Normal Shock at Specified Locations(VII-9.htm)
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Detached Shock Waves(VII-10.htm)
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Oblique Attached shock Waves(VII-11.htm)
Chapter 8: Transient Fluid Flow
Chapter 9: Turbomachinery