MAE 5420 - Compressible Fluids
MAE 5420 Links to Recorded Zoom Lectures, Fall 2021
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Christine Case (MAE 5420 TA) Introductory Video
-
Covid-19 Operating Procedures Introductory Lecture
- Lecture 1, August 30 2021
- Course Introduction and Overview
- Covid-19 Intro Lecture
- DeLaval Nozzle and Supersonic Flow
- Mach Tuck
- Starting Expression for the Speed of Sound in a Gas
- Lecture 2, September 3 2021
- Course Overview (Concluded)
- Speed of Sound (continued)
- Thermodynamics Review
- Equation of State
- Conservation of Energy (First Law of Thermodynamics)
- Second Law of Thermodynamics
- Adiabatic and Isentropic Processes
- Working Formula for Speed of Sound
- Molecular Weight and Specific Heats of a Mixed Gas
- Lecture 3, September 5 2021
- State Equation and Thermodynamics Review Summary
- Sonic Booms and Shock Waves
- Section 2 Preview
- Homework 1 Assignment
- Lecture 4, September 8 2021
- Thermodynamics Review (continued)
- Introduction to the Integral Forms of the Conservation Equations for Inviscid, Compressible Flow
- Conservation of Mass
- Conservton of Mopmentum
- Conservation of Energy
- Lecture 5, September 10 2021
- A Simple Application of the 1-D Conservation Equations
- Thrust Equation
- Newton's Second Law and the Thrust Equation
- The Rocket Equation and Specifc Impulse
- Example Calculation
- Homework 2 Assignment
- Lecture 6, September 13 2021
- Further applications of 1-D Equations of Motion
- One-Dimensional Comprssible Flow Analysis
- Why the Shape of a Rocket Nozzle?
- Stagntion Temperature and pressure definitions
- Effects of Stagnation Heating
- Stagnation Pressure
- Lecture 7, September 15, 2021
- One-Dimensional Comprssible Flow Analysis
- Stagnation Temperature Review
- Characteristic Mach number and other Invariant Sonic flow properties
- Flow Choking pressure rato
- Massflow Equations
- Lecture 8, September 17, 2021
- Massflow Equations
- A/A* Equation Introducton
- SSME Example
- Lecture 9, September 20 2021
- One-Dimensional Comprssible Flow Analysis
- Numerical Solution of A/A* Equation
- Convergence Analysis
- Initial Conditions
- Example Calculations
- Lecture 10, September 22 2021
- One-Dimensional Comprssible Flow Analysis
- Effect of pressure ratio on Nozzle performance
- Choked and Unchoked Compressible Massflow Equations
- Isentropic Choked Flow Solutions
- Lecture 11, September 24 2021
- Introduction to Normal Shock Waves
- Applying the conservation equations
- Mach Number across Shock Wave
- Calculating the Changes in Density, Pressure, and Temperature
- Stagnation pressure loss and the increase in Entropy across shock
- Second law and Impossibility for Rarefaction shockwave
- Lecture 12, September 27 2021
- Introduction to Non-Isentropic Nozzle Model
- Shockwaves in Quasi-1D Nozzle
- Explicit Formula for Exit Mach Number
- Example calculations
- Critical pressure ratio
- Lecture 13, September 29 2021
- Example calculations, Continued
- Shuttle launch Video revisited
- Introduction to the Optimal Nozzle
- Thrust Coefficient and the Optimal Nozzle Properties
- Atlas V Example
- Atlas V first stage thrust as a function of altitude
- Lecture 14, October 2 2021
- Thrust Coefficient and the Optimal Nozzle Properties
- Optimal exit pressure criterion
- SSME and RSRM Examples
- Aerospike Nozzle Configuration as a Compensating Nozzle Solution
- Project 1 Assignment
- Lecture 15, October 4 2021
- Project 1 Preview
- Quasi 1-D Flow with Heat Addition
- Combustor Analysis
- Lecture 16, October 6 2021
- Quasi 1-D Flow with Heat Addition (concluded)
- Combustor Model Review
- Derivation of the Rayleigh Equations
- Example Calculations
- Topic: MAE 5420 Wednesday lecture
Start Time : Oct 6, 2021 08:21 AM
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- Lecture 17, October 8 2021
- Compressible Bernoilli Equation
- Static and Total Pressure
- Venturi Equations Review
- Introduction to airspeed measurements
- Lecture 18, October 11 2021
- Ramjet as a Braytion Cycle
- Compressible and Incompressible Venturi Example
- Airspeed Measurements and Definitions
- Lecture 19, October 13 2021
- Lecture 20, October 18 2021
- Project 1 Review
- Homework 6 Preview
- Supersonic Stagnation Pressure Measurements
- Rayleigh Pitot Equation
- CpMax and the Compressible Bernoulli Equation
- Rayleigh Pitot Equation Examples
- Lecture 21, October 20, 2021
- CpMax and the Compressible Bernoulli Equation
- Standard Atmosphere review
- Temperature Lapse Rate Model
- International and 1976 US Standard Atmsophere Model
- Earth Global Reference Model (GRAM-2010)
- Lecture 22, October 22, 2021
- Standard Atmosphere review
- Hydrostatic Equation
- Temperature Lapse Rate Model
- International and 1976 US Standard Atmsophere Model
- Earth Global Reference Model (GRAM-2010)
- Standard Atmosphere Tables
- Lecture 23, October 25, 2021
- Introduction to Oblique Shock waves
- Oblique Shock wave equations
- Lecture 24, October 27, 2021
- Numerical Solutions of the Beta-Theta-Mach Equation
- Newton;s Method
- Cubic Polynominal Solution
- Lecture 25, October 29, 2021
- Calculation Example
- Detached Shock Wave Discussion
- Prandtl Meyer Expansion
- Prandtl-Meyer Solution ot Conservation Equations
- Prandtl-Meyer Function and Mach Characteristic Lines
- Prandtl-Meyer Expansion Analysis
- Prandtl Meyer Integral
- Solving for Flow Properties across Prandtl Meyer Fan
- Maximum Allowable Convex Turning Angle
- Prandtl Meyer Expanson Summarized
- Lecture 26, November 1, 2021
- Midterm Exam Solution Review
- Lecture 27, November 3, 2021
- Prandtl-Meyer Expansion Continued
- Example Calculation
- Practical Example, Shadowgraph Image Analysis
- HW 6 (Inlet problem) Assignment and Soluton Hints
- Introduction to Shock-Expansion Theory
- Supersonic Flow over Flat Plate at Incidence Angle
- Topic: MAE 5420 Lectures
Start Time: Nov 3, 2021 08:23 AM
- Lecture 28, November 5, 2021
- Supersonic Flat Plate Example, revisited
- Definitons of Lift and Drag Coefficient
- Supersonic Flat Plate Example
- Lecture 29, November 8 2021
- Pitching Moment and Aerodynamic Center
- Contrasting Subsonic and Supersonic Wing Sections
- Finite thickness supersonic airfoil section
CL, CD for wedge airfoil
- Lecture 30, November 10, 2021
- CL, CD for wedge airfoil, revisited
- Effect of angle of attack on Compressive lift, drag
- Incviscid L/D Profile
- Lecture 31, November 12, 2021
- Effects of Wing Sweep
- Vortical Lift and the Delta Wing
- Critical Mach Number and Divergence Drag Rise
- Compressability
Corrections
- Prandtl-Glauret
- Karman-Tsien
- Laitone'sbRule
- Ackeret's Rule
- Effect of Wing Thickness on Critical Mach Number
- Example Calculation for Critical Mach Number
- Lecture 32, November 15, 2021
- Effect of Wing Sweep on Supersonic Airfoil
- Effect of Wing Sweep on Supersonic Airfoil
- Homework 8 assignment
- Lecture 33, November 17, 2021
- Effects of Wing Sweep (concluded)
- Introduction to Boundary Layers
- Laminar / Turbulent Boundary Layer Overview
- Momentum Thickness and the Laminar Boundary Layer Depth
- Laminar / Turbulent Boundary Layer (continued)
- Closure Equation for Laminar Bondary Layer
- Viscosity and Reynold's Number
- Parabolic vs. Blasis Model for Laminar Skin Friction
- Boundary Layers Continued
- Lecture 34, November 19, 2021
- Boundary Layers Continued
- Momentum Thickness and the Laminar Boundary Layer Depth
- Lecture 35, November 22 2021
- Laminar Bounrary Layer review
- Turbulent Bundary Layer
- Schoenherr Plot
- Transitional Boundary Layer
- Incompressible Boundary Layer Review
Thanksgiving Break!
- Lecture 36, November 29 2021
- Compresible Bounday Layer, Introduction
- Correction for Compressibility Using Southerlunds Law
- Energy Equation and Boundry Layer Heating
- Adiabatic Wall Temperature
- Recovery Factor and Prandtl Number
- Mean Boundary Layer Temperature
- Compressible Correction for Skin Friction Coefficient
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- Lecture 37, December 1 2021
- End-to-End Boundary Layer Review
- Boundary layers concluded
- Final project assignment
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- Lecture 38, December3 2021
- Final Project: Hints and Tips
- Space Shuttle Thrmal Protection System
- Introduction to Supersonic Flow Around a Blunt Body
- Lectures 39, December 6 2021
- Introduction to Supersonic Flow Around a Blunt Body
- beta-theta-Mach Plots
- Criterion for Detached Shock Wave, Maximum Deflection Angle
- Approximate Description of Stagnation Point Flow Field
- Sonic Line
- Shock Wave Stand-Off Distance
- Lectures 40, December 8 2021
- Approximate Description of Stagnation Point Flow Field
- Sonic Line
- Shock Wave Stand-Off Distance
- Approximate Surface Pressure Model
- Modified Newtonian Flow
- Airfoil Drag due to Blunt Leading Edge
- Lecture 41, December 10 2021
- Airfoil Drag due to Blunt Leading Edge
- Final Exam Presentation