URL()

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

Chapter 2: Buoyancy and Ship StabilityAir 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)

- 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)

- Streamlines in x-y Coordinates(III-1.htm)
- Streamlines in Polar Coordinates(III-2.htm)
- Streamlines and Pressure Gradient(III-3.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)

- 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)

- 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)
- Quasi-Steady Gravity Flow with a Variable Head(V-5.htm)
- Draining and Filling with Laminar Flow(V-6.htm)
- Draining and Filling with Turbulent Flow(V-7.htm)
- Steady Gravity Flow with a Constant Head(V-8.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)

- 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)

- 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)

- Ventilation Requirements (VIII-1.htm)
- Transient Internal Flow using Rigid Column theory(VIII-2.htm)
- Surge Tanks for Pressure Control(VIII-3.htm)
- Wave Propagation in Water and Pipes(VIII-4.htm)