Matching Reynolds Number in Scale Model Wind Tunnel Testing

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SUMMARY

The discussion focuses on matching the Reynolds Number for a scale model of a truck and trailer during wind tunnel testing. The full-scale Reynolds Number is 34,695,627.05 at 65 mph, while a 1:17 scale model achieves only 3,137,150 at 100 mph, resulting in a blockage ratio of 5%. To address this discrepancy, participants recommend plotting the drag coefficient (Cd) against Reynolds Number (Re) for both the scale model and full-scale simulations. This approach allows for the assumption of similar Cd values at higher Re, despite the limitations of the scale model testing.

PREREQUISITES
  • Understanding of Reynolds Number and its significance in fluid dynamics
  • Familiarity with wind tunnel testing principles and blockage ratio calculations
  • Knowledge of Computational Fluid Dynamics (CFD) simulations
  • Basic concepts of drag coefficient (Cd) and its relationship with Reynolds Number
NEXT STEPS
  • Research methods for calculating blockage ratio in wind tunnel testing
  • Learn how to plot drag coefficient vs. Reynolds Number using CFD software
  • Investigate techniques for scaling models while maintaining aerodynamic accuracy
  • Explore advanced wind tunnel testing methods to achieve higher Reynolds Numbers
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Mechanical engineers, aerodynamicists, and students involved in vehicle design and testing, particularly those focused on reducing aerodynamic drag through experimental methods.

Andres
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For my senior design project, I have to reduce the aerodynamic drag of a truck and trailer. I am doing CFD simulations and wind tunnel testing. The dimensions of the wind tunnel (test section) are 94 in long, 13.5 in tall and 20 in wide and a cross-sectional area of 270 in^2 and it could go up to 110 mph. The truck and trailer has a total length of 712 in and a frontal area of 10560.2175 in^2. I'm trying to figure out a way to match the Reynolds Number of the full truck and trailer using a scale down model but have a blockage ratio of less than 5%. The Reynolds Number of the full scale is 34,695,627.05 at a velocity of 65mph and 712 inches for characteristic length. A scale of 1:17 gives me a blockage ratio of about 5% but a Reynolds number of 3,137,150 at 100mph and 41.88 in long, which is nowhere close to the actual Reynolds Number. What do you guys recommend I do about the wind tunnel testing if I can't match the Reynolds Number to the real one? P.S, I need the velocity to be 65mph because at that speed, most of the fuel is used to overcome drag.

Sorry for the lengthy paragraph but I'm stuck.
 
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The drag coefficient is the most important dimensionless parameter for your study. The drag coefficient is a function of the Reynolds number. Here are some typical relationships:

drag_coeff_2.GIF

For high Re (>3500), you can usually assume the Cd is constant. The exception is for an object with not well-defined fixed separation points (like as sphere) where a dip is seen before stabilizing (usually somewhere around Re = 106).

What you can do is plot the Cd vs Re for your scale model. If you see a dip and it is below your testing Re, then you can assume that the Cd will be similar for your full scale truck (at a greater Re).

You also mentioned CFD simulations, so you can plot the Cd vs Re that way as well to further prove your point (since you won't be able to measure high Re with your scale model).
 
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