An Electric Analogy for Modeling the Aerodynamics of Engineered and Biological Flight

Author:

Burgers Phillip1

Affiliation:

1. Embry-Riddle Aeronautical University, Arts & Sciences, USA

Abstract

<div>There are examples in aerodynamics that take advantage of electric-to-aerodynamic analogies, like the law of Biot–Savart, which is used in aerodynamic theory to calculate the velocity induced by a vortex line. This article introduces an electric-to-aerodynamic analogy that models the lift, drag, and thrust of an airplane, a helicopter, a propeller, and a flapping bird. This model is intended to complement the recently published <i>aerodynamic equation of state for lift</i>, <i>drag</i>, and <i>thrust</i> of an engineered or a biological flyer by means of an analogy between this equation and Ohm’s law. This model, as well as the aerodynamic equation of state, are both intended to include the familiar and time-proven parameters of <i>pressure</i>, <i>work</i>, and <i>energy</i>, analytical tools that are ubiquitous in all fields of science but absent in an aerodynamicists’ day-to-day tasks. Illustrated by various examples, this modeling approach, as treated in this article, is limited to subsonic flight.</div>

Publisher

SAE International

Reference16 articles.

1. Burgers , P. An Aerodynamic Equation of State—Part I: Introduction and Aerospace Applications SAE Int. J. Aerosp. 17 1 2024 3 22 https://doi.org/10.4271/01-17-01-0001

2. Halliday , D. and Resnick , R. Fundamentals of Physics New York John Wiley & Sons 1970

3. Gessow , A. and Myers , G.C. Aerodynamics of the Helicopter New York Frederick Ungar Publishing 1967 171

4. Burgers , P. An Aerodynamic Equation of State - Part II: Applications to Flapping Flight SAE Int. J. Aerosp. 17 1 2024 23 36 https://doi.org/10.4271/01-17-01-0002

5. Gudmundsson , S. General Aviation Aircraft Design: Applied Methods and Procedures Oxford, UK Butterworth-Heinemann 2014

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