Fluid Mechanics with Naval Applications
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Department of Mechanical Engineering

Each lecture below contains Objectives, Theory, Solutions and Review Questions that

Users external to USNA will need Mathcad 2001i or higher to read the .mcd files.

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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
• Buoyancy Forces on Submerged and Floating Surfaces(II-1.htm)
• Metacentric Height(II-2.htm)
• Simpson's Rule and Centroid of Areas(II-3.htm)
• Moment of Inertia and Numerical Integration(II-4.htm)
• Moment of Inertia and Stability for Floating Assembly(II-5.htm)
• Stability for Barge and Catamaran(II-6.htm)
• Design of Draft and Breadth to produce required Block Coefficient(II-7.htm)
• Calculation of Waterplane Area and LCF(II-8.htm)
• Design of a CVS Hull(II-9.htm)
• Initial Iteration for Design of a Frigate Hull(II-10.htm)
• One Solution to Problem II-10 [Design of a Frigate Hull](II-11.htm)
• Design of a YPx3 Hull with Ship Stability(II-12.htm)
• List Angle and Free Surface Effects due to Ship Flooding(I-13.htm)
• Free Surface Effect on List Angle(II-14.htm)
• Full Ship Design from given Digitized Curves of Form(II-15.htm)
Chapter 3: Potential Flow
• Streamlines in x-y Coordinates(III-1.htm)
• Streamlines in Polar Coordinates(III-2.htm)
• Flow over a Rankine Half-Body(III-4.htm)
• Potential Flow over Rankine Half-Body in Rectangular Coordinates(III-5)
• Potential Flow over Rankine Oval using Polar Coordinates(III-6.htm)
• Potential and Streamlines for Rankine Half-Body in Polar Coordinates(III-7.htm)
• 2-D Potential Flow over a Non-rotating Cylinder(III-8.htm)
• 2-D Potential Flow over a Rotating Cylinder with Small Circulation(III-9.htm)
• 2-D Potential Flow over a Rotating Cylinder with Large Circulation(III-10.htm)
• Conformal Transformation of Origin Centered Circular Cylinder to Elliptical Oval(III-11.htm)
• Conformal Transformation from a Cylinder to a Joukowski Airfoil(III-12.htm)
• Numerical Solution to a 2-D, Irrotational Vector Field using Euler Heun(III-13.htm)
• Numerical Solution to a Rankine Oval Vector Field using Euler Heun(III-14.htm)
• Numerical Solutions to Vector Fields using Runge-Kutta and Euler Heun(III-15.htm)
• Streamlines and Potential Lines over a Cylinder using Euler-Heun Integration and Conformal Transformation(III-16.htm)
• Family of Streamlines and Potential Lines using Quadratic Form(III-17.htm)
• Euler-Heun Integration for Flow around a Rotating Cylinder(III-18.htm)
• Streamlines and Potential Lines inside a Cylinder(III-19.htm)
• Numerical Solution to a 2-D, Irrotational Vector Field for an Airfoil(III-20.htm)
Chapter 4: Lift and Drag
• Experimental Measurements of Drag(IV-1.htm)
• Experimental Velocity Measurements in an Airfoil Wake(IV-1A.htm)
• Experimental Measurements of Lift(IV-2.htm)
• Lift and Drag Coefficients for Finite Wings(IV-2A.htm)
• Experimental Measurements for Lift of  NACA Airfoil(IV-3.htm)
• Analysis of Particle Motion in Air Subject to Gravity, Drag and Bouyancy Forces(IV-4.htm)
• Analysis of Particle Motion in Oil Subject to Gravity, Drag and Bouyancy Forces(IV-4A.htm)
• Lift and Drag for Operating Vehicles(IV-5.htm)
• Theory of Resistance for Surface Ships(IV-6.htm)
• Theory of Resistance for Submerged Ships(IV-7.htm)
• Theory of Similarity and Modeling(IV-8.htm)
• Incomplete Similarity for Surface Ship Modeling(IV-9.htm)
Chapter 5: Incompressible Internal Viscous Flow
• Review of Theory(V-1.htm)
• Friction in Internal Viscous Flow(V-2.htm)
• Head Loss in Internal Viscous Flow(V-3.htm)
• Flow due to Gravity(V-4.htm)
• Draining and Filling with Laminar Flow(V-6.htm)
• Draining and Filling with Turbulent Flow(V-7.htm)
• Pumping Requirements for a Pipeline(V-9.htm)
• Incompressible Flow of Compressed Air(V-10.htm)
• Gravity Flow in Parallel(V-11.htm)
• Pressure Driven Parallel Flow Piping Systems(V-12)
Chapter 6: Panel Methods for Low Speed Aerodynamics
• Discrete Lumped Vortex Elements used to represent a Flat Plate (VI-1.htm)
• Discrete Lumped Vortex Elements used to represent a Wedge (VI-2.htm)
• Linearly Varying 2-D Vortex Panel Method with 9 Panels (VI-3.htm)
• Linearly Varying 2-D Vortex Panel Method with 12 Panels (VI-4.htm)
• 2-D Grid Generator for Non-Cambered Van de Vooren Airfoil (VI-5.htm)
• Vortex Panel Method for Non-Cambered Airfoils using Matrix Inversion (VI-6.htm)
• Vortex Panel Method for Cambered Airfoils using Matrix Inversion (VI-7.htm)
• Vortex Panel Method for Non-Cambered Airfoils using Cramer's Rule (VI-8.htm)
• 2-D Pressure Coefficient over a Modified Circular Arc Airfoil (VI-9.htm)
• Cambered Airfoil Definition by use of Bezier Blending Functions (VI-10.htm)
• Uniform Panel Method for Lift of a Cambered Airfoil (VI-11.htm)
• Uniform Panel Method for Lift of a Non-Cambered Airfoil (VI-12.htm)
• Panel Method using Descrete Vortices with Van de Vooren Airfoil (VI-13.htm)
• Uniform Panel Method for Lift of Multiple Cambered Airfoils (VI-14.htm)
Chapter 7: Internal Compressible Flow
• Introduction to Compressible Gas Flow in a Constant Area Pipe with Friction(VII-1.htm)
• Frictional, Adiabatic Compressible Gas Flow(Fanno Line Flow)(VII-2.htm)
• Frictionless Flow in a Constant Area Pipe with Heat Transfer(Rayleigh Line Flow)(VII-3.htm)
• Isothermal Compressible Flow in a Constant Area Duct(VII-4.htm)
• Isentropic Compressible Flow in a Converging Nozzle(VII-5.htm)
• Isentropic Compressible Flow in a Converging-Diverging Nozzle(VII-6.htm)
• Compressible Flow in a Constant Area duct with a Normal Shock(VII-7.htm)
• Compressible Nozzle Flow with a Normal Shock(VII-8.htm)
• Fanno Line Flow with a Normal Shock at Specified Locations(VII-9.htm)
• Detached Shock Waves(VII-10.htm)
• Oblique Attached shock Waves(VII-11.htm)
Chapter 8: Transient Fluid Flow
Chapter 9:  Turbomachinery