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

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Discussion Overview

The discussion revolves around the coefficient of drag for a car model, particularly in the context of using small replicas like RC cars. Participants explore whether this coefficient can be assumed constant and how it varies with velocity, as well as the implications for modeling the physics of a car using differential equations that account for drag force, thrust force, and friction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that the coefficient of drag can be considered constant based on standard values, while others argue that it varies with velocity.
  • One participant notes that the drag coefficient is relatively static under certain conditions, specifically when the flow is turbulent and the Reynolds number is large.
  • Another participant highlights that at low speeds (1m/s to 5m/s), the flow may be laminar, leading to a velocity-dependent drag coefficient.
  • Concerns are raised about the difficulty of measuring drag at low speeds due to small drag forces and the potential influence of viscous forces.
  • A participant asks for methods to measure the coefficient of drag, indicating a need for experimental validation.

Areas of Agreement / Disagreement

Participants express differing views on whether the coefficient of drag can be assumed constant, with some suggesting it is relatively static while others emphasize its variability with velocity, particularly at low speeds. The discussion remains unresolved regarding the applicability of a constant drag coefficient in the context of small car models.

Contextual Notes

Limitations include the dependence on flow conditions (turbulent vs. laminar), the size of the model, and the speed range, which may affect the accuracy of the drag coefficient. The discussion does not reach a consensus on the best approach to modeling or measuring the drag coefficient.

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."
 
Last edited by a moderator:
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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