Airflow around the wing - Dimensional Analysis

In summary, the conversation discusses using the Buckingham Pi theorem to derive the Reynolds and Froude numbers for a problem involving length scales, gravity, density, and viscosity. The Mach number is also mentioned as a factor to consider, along with the impact of gravity forces and fluid properties on the length scales.
  • #1
Kalgoolie
6
0
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Hey guys,

I am a bit stuck on this prolbem. When it says identify the characteristic physical scales is this referring only to the length scales (l, h, b)? or is U, gravity, density and viscosity included as well?

Now the only two dimenionless groups that I think are relevant is the reynolds number and the froude number. So I am thinking of using the buckingham Pi theorem to derive the reynolds and froude number for this problem, is that correct?


*I have ignored the Mach number cos it says that the density and viscosity remains constant.
 
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  • #2
Yes, it is correct to use the Buckingham Pi theorem to derive the Reynolds and Froude numbers. You should also consider the Mach number, as it can be used to calculate the speed of sound. Additionally, you should think about the gravity forces and how they might affect the length scales. Finally, you should consider the density and viscosity of the fluid and how they might impact the length scales.
 

1. What is the purpose of studying airflow around the wing?

The study of airflow around the wing is important in understanding the aerodynamics of flight. This knowledge is essential for designing efficient and safe aircraft.

2. What factors affect the airflow around a wing?

Several factors can affect the airflow around a wing, including the shape and size of the wing, the speed and direction of the air, and the angle of attack.

3. What is dimensional analysis and how is it used in studying airflow around the wing?

Dimensional analysis is a mathematical tool used to relate physical quantities and their units. In the study of airflow around the wing, dimensional analysis is used to identify the most critical parameters that affect the aerodynamics of the wing.

4. Can dimensional analysis be used to predict the performance of different wing shapes?

Yes, dimensional analysis can be used to predict the performance of different wing shapes by comparing the dimensionless parameters of each wing. This allows for a more efficient and cost-effective way to design and test different wing designs.

5. How can dimensional analysis help in optimizing the design of a wing?

Dimensional analysis can help in optimizing the design of a wing by identifying the most critical parameters that affect the aerodynamics of the wing. This allows engineers to make informed decisions about the design of the wing to improve its performance.

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