How Do You Derive the Equation for Drag?

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SUMMARY

The equation for drag force (Fd) is derived using the formula Fd = [Coefficient of drag * density * Area (cross-sectional) * v^2] / 2. This derivation involves integrating pressure and shear forces over the surface of the airfoil and applying the Buckingham Pi Theorem to convert these forces into coefficients. The foundational concepts are covered in the textbook referenced, which is essential for understanding the derivation process.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Buckingham Pi Theorem
  • Knowledge of aerodynamics, specifically airfoil behavior
  • Basic calculus for integration of forces
NEXT STEPS
  • Study the derivation of drag force in fluid dynamics textbooks
  • Learn about the Buckingham Pi Theorem and its applications in aerodynamics
  • Research the relationship between Mach number and drag coefficients
  • Explore online resources or courses on aerodynamics and drag force calculations
USEFUL FOR

Aerodynamics students, engineers in fluid mechanics, and anyone involved in the design and analysis of airfoils or vehicles affected by drag forces will benefit from this discussion.

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could someone tell me how to derive the equation for drag or send me a site that can do it.

Fd = [Coefficient of drag * density * Area (cross-sectional)*v^2 ] / 2
 
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I can't find a site which explains it, and it's been a year since I've taken the class, so I wouldn't be able to do it justice.

Drag (and lift) are both determined first by integrating pressure and shear forces over the surface of the airfoil. Then, they are converted to the Coefficients by dividing by the dynamic pressure. That division is validated by the Buckingham Pi Theorem.

Unfortunately, every site I've found is merely an aerodynamics course syllabus which lists the topic and cites the textbook my class used (and my professor wrote FWIW... makes me happy about my education).

This is the textbook. It's expensive... I'd check to see if they've got it in the library. Everything you need is in the first chapter.
 
Originally posted by cipher
could someone tell me how to derive the equation for drag or send me a site that can do it.

Fd = [Coefficient of drag * density * Area (cross-sectional)*v^2 ] / 2


Fd(Density) = Coeficient of Drag*Density*Area∫v dv
 


Originally posted by PrudensOptimus
Fd(Density) = Coeficient of Drag*Density*Area∫v dv

Uh... no.

rho*A*V^2 is comes from Mach number relationships, not integrating velocity.
 

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