What does FL represent in the drag coefficient equation?

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Discussion Overview

The discussion revolves around the interpretation of the variable "FL" in the drag coefficient equation, particularly in the context of a project involving compressed air flow through a small tube. Participants are exploring the correct formulation of the equation and the physical meaning of the terms involved, including whether "FL" represents a drag force or something else entirely.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether the equation should involve viscosity, suggesting that it appears to require air density instead, as the units do not align with viscosity.
  • Another participant provides a standard equation for calculating air drag force, indicating that "FL" might not be correctly interpreted as drag force.
  • A different perspective suggests that the participant may be using a pipe flow equation rather than a drag coefficient equation, proposing that "FL" could relate to a friction coefficient in the context of flow through a tube.
  • There is uncertainty about the meaning of "FL" and its numerical value, with participants expressing confusion over its origin and relevance to the drag context.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the meaning of "FL" or the appropriate equation to use. Multiple competing views remain regarding the correct interpretation of the variables involved and their physical significance.

Contextual Notes

There are limitations regarding the assumptions made about the variables in the equations discussed, particularly concerning the use of viscosity versus density, and the applicability of drag coefficient equations to the scenario described.

sam_smk
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So I did a project about a year ago and I can't remember one of the things I wrote in this equation.

The equation apparently I got it from NASA's website.
https://www.grc.nasa.gov/www/k-12/airplane/dragco.html

This is my equation

CD = FL/ (0.5 * Air viscosity * V^2 * Area) = 0.4These are the numbers I used to plug in the equation

Velocity = 13 m/s

Diameter pipe = 0.000635 m

Air viscosity = 0.00001599 kg/m*s

FL = 1*10^-9 Kg <<< this is the problem

Area of Dust = 1.96 * 10^-11 Microns
____________________________

Now in NASA's website instead of FL there's a "D" and it says the "D" represents the drag.

Now I can't remember what (FL) means, is it truly a drag? and a drag of what exactly.

My project was about compressed air moving inside a small tube, and the tube has pinched hols in it to pump the compressed air to clean a surface from dust.

SO, can someone tell me what the "FL" that I wrote means? and what exactly does the number FL = 1*10^-9 Kg represent? Could it be "air drag??" I am not sure where I found this number.
 
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Are you sure that your equation used viscosity? That looks an awful lot like a situation where it should be density. With viscosity, your units don't work out. As for what "FL" means, I have no idea. Typically, if it was a lift coefficient, then "FL" would be the lift force and that would be density on the bottom.
 
The equation I know for calculating air drag force is:
F = 0.5 * rho * Cd *A * v^2

rho = air DENSITY
Cd = coefficient of drag
A = cross section
v = speed in m/s

From this I get for Cd:
Cd = F / (0.5 * rho * A * v^2)

Comparing to your equation:
CD = FL/ (0.5 * Air viscosity * V^2 * Area) So I think you used air density, no air viscosity.
 
I suspect you were using a pipe equation, not an aircraft drag coefficient equation - I hope. That would be more applicable to a flow through a small tube. In pipe head loss equations, f is the friction coefficient, and L is the Length. At least a pipe head loss equation might have something to do with the flow through a small tube, which the drag coefficient calculation for an airplane really doesn't. I'm not sure how it reduces to anything like you have though.

head loss = f L v^2 / 2 D g

D = diameter
L = length
f = friction coefficient
g = gravitational acceleration

http://www.pipeflowcalculations.com/pipe-valve-fitting-flow/flow-in-pipes.php
 

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