How to find the coefficient of drag of a car model?

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SUMMARY

The coefficient of drag (CD) for a car model is not constant and varies with velocity, particularly in low-speed scenarios such as those involving RC toy cars operating between 1 m/s and 5 m/s. At these speeds, the flow may be laminar, leading to a velocity-dependent drag coefficient due to significant viscous forces. Accurate measurement of drag in this context requires experimental methods rather than theoretical calculations, especially when the Reynolds number is low. Understanding these dynamics is crucial for modeling the physics of vehicle motion using differential equations that incorporate drag force.

PREREQUISITES
  • Understanding of drag coefficient and its significance in fluid dynamics
  • Familiarity with Reynolds number and its implications on flow regimes
  • Basic knowledge of differential equations and their application in physics
  • Experience with experimental measurement techniques in fluid dynamics
NEXT STEPS
  • Research methods for experimentally measuring the coefficient of drag in small-scale models
  • Study the effects of Reynolds number on drag coefficients in various flow regimes
  • Explore differential equations modeling drag force and thrust in vehicle dynamics
  • Investigate the transition from laminar to turbulent flow and its impact on drag
USEFUL FOR

Physics students, automotive engineers, hobbyists working with RC vehicles, and anyone interested in fluid dynamics and vehicle performance modeling.

theBEAST
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Can we assume that the coefficient of drag of a car model is constant using one of the values from:
http://en.wikipedia.org/wiki/Drag_coefficient

The reason I ask this is because the coefficient of drag of a car varies with velocity. So wouldn't it change depending on how fast the car is moving?

Furthermore, I would like to use this to model the physics of a car using a differential equation which includes the drag force, thrust force, friction floor form floor and m*a. Is this a valid simulation?
 
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Actually, part of the point of a drag coefficient is that it is relatively static and doesn't change much with velocity.
 
cjl said:
Actually, part of the point of a drag coefficient is that it is relatively static and doesn't change much with velocity.

But on this page:
http://faculty.wwu.edu/vawter/PhysicsNet/Topics/Dynamics/Forces/DragForce.html

It says that it only holds true "when the flow is turbulent the Reynolds number is large, and the drag coefficient CD is approximately constant."
 
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True enough. For most cases involving a reasonable size of object in air though, the flow will be turbulent, and the reynolds number is large. Are you talking about using small replicas of cars, or full size? Also, what speed range are you referring to?
 
cjl said:
True enough. For most cases involving a reasonable size of object in air though, the flow will be turbulent, and the reynolds number is large. Are you talking about using small replicas of cars, or full size? Also, what speed range are you referring to?

Yeah small replicas of cars, for example RC toy cars. Speed range will be around 1m/s to 5m/s.
 
Hmm. In that case, it'll probably be fairly difficult to consistently measure drag, since at that speed, drag force will be quite small. In addition, at that low speed, you probably will be in a laminar flow region, and possibly even a flow regime where viscous forces are important (very low reynolds number), so you will tend to have a velocity-dependent drag coefficient. Unfortunately, you would really need to measure it experimentally to have an accurate idea for its effect - it isn't something that would be easily calculated.
 
cjl said:
Hmm. In that case, it'll probably be fairly difficult to consistently measure drag, since at that speed, drag force will be quite small. In addition, at that low speed, you probably will be in a laminar flow region, and possibly even a flow regime where viscous forces are important (very low reynolds number), so you will tend to have a velocity-dependent drag coefficient. Unfortunately, you would really need to measure it experimentally to have an accurate idea for its effect - it isn't something that would be easily calculated.

What are some ways to measure coefficient of drag?
 

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