Airfoil Conformal Mapping

Learn a powerful analytic method for predicting the forces and moments on an airfoil.

Airfoil Conformal Mapping

Learn a powerful analytic method for predicting the forces and moments on an airfoil.
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About the Class

Conformal mapping is a powerful technique for analytically predicting the forces and moments on an airfoil in inviscid flow. This method was used in the early days of aerodynamics before the advent of the computer. The mathematics is very impressive and sheds significant insight into the effects of camber and thickness on airfoil aerodynamics. Here we develop and explore the mathematics behind this technique and look at sample solutions.

Key Concepts Include:

  • Complex Variables and Functions
  • The Blasius Relations
  • Conformal Transformations
  • Solutions for Arbitrary Airfoil Geometries
  • Joukowski Airfoils
  • Thin Joukowski Airfoils

We take our time going through the mathematics, and you can speed up or slow down the videos depending on your own learning speed. It is recommended that you first complete the Fundamentals of Aerodynamics and Airfoil Analysis courses.
This Course Includes:

  • 23 Lessons with detailed explanations
  • Over 4 hours of video instruction

At the completion of this course, you’ll be a master of inviscid airfoil theory. You’ll deeply understand the principles and gain considerable insight into the elegant mathematics that forms the foundations of airfoil aerodynamics. Who knows, you may even see ways to improve the theory for future analysis. Let’s jump in.

Author

Doug Hunsaker

Aerospace Engineer and Teacher
Hi - I'm Doug. I love airplanes and math. Why are my courses so cheap? I believe higher education should be available to those of all economic circumstances and geographic locations.  My pre-recorded classes grew out of the pandemic that forced higher education to go online. I wanted to extend my reach to students who don't have the opportunity...

School

AeroAcademy

Conquer the Math of Flight
Through our study of aircraft design, we have grown to love the beautiful mathematics behind aerodynamics and flight mechanics. These analytical solutions grew out of intense work by aerodynamicists that were well versed in physical laws and mathematical principles. With the development of the computer in the 1960’s and subsequent improvements...

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What's Included

Language: English
Level: Advanced
Skills: Joukowski Airfoil Analysis, Conformal Transformations, Complex Functions, Complex Variables
Age groups: 18+ years
Duration: 4 hours 20 minutes
23 Videos
1 Document
1
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