What Are the Steps for Calculating Boundary Layer Thickness on an Aircraft Wing?

You use the Re numbers, the x value, and the equations to calculate the boundary layer thickness at each velocity. Also, make sure to convert the velocities from knots to m/s before plugging them in. In summary, to calculate the boundary layer thickness at a location x=0.3m along the chord length of an aircraft wing at velocities of 20, 40, 60, 80, and 100 knots, you need to use the given equations for laminar and turbulent boundary layer thickness, along with the Reynolds numbers corresponding to each velocity. Make sure to convert the velocities from knots to m/s before plugging them into the equations.
  • #1
ra180
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Calculate the thickness of the boundary Layer δ at a location x= 0.3m along the chord length of an aircraft wing at each of the following velocities. (u = 20, 40,60,80,100 knots)

Assume ISA P=101325 R=287 T=288.5 μ =18 x 10-6

(1)Re transition=5 x 10^5
(2)δ Laminar = x 4.91 Rex^-0.5
(3)δ turbulent = x 0.381 Re^-0.2

Using Re= ρux/μ

Re(20) =21008 Re (40)= 420175 Re (60)=630262 Re (80)= 840350 Re (100)= 1050233

I'm not to sure where to go from here, do I have to substitute the Reynolds into the three equations if so which values do substitute.
 
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  • #2
You know the reynold's numbers for each case, you know the characteristic length (x), you are given the Reynold's number for which the flow transitions from laminar to turbulent over a flat plate (the wing), and the equations for the boundary layer thickness for both states (laminar and turbulent).

This one's a plug and chug, once you identify which streams are laminar and which are turbulent.
 

1. What is the definition of boundary thickness in scientific terms?

Boundary thickness refers to the distance between two different phases or media, where there is a significant change in physical properties such as temperature, pressure, or composition.

2. How is boundary thickness measured?

Boundary thickness can be measured using various techniques such as microscopy, spectroscopy, and rheology. These methods involve analyzing the physical, chemical, and mechanical properties of the boundary between two phases.

3. What factors affect boundary thickness?

Boundary thickness can be influenced by factors such as temperature, pressure, flow rate, composition, and the properties of the materials involved. These factors can affect the diffusion and transport of molecules across the boundary, resulting in changes in thickness.

4. Why is boundary thickness important in scientific research?

Boundary thickness plays a crucial role in various scientific fields, including materials science, chemistry, and biology. It can affect the properties and behavior of materials and substances, and understanding it can lead to advancements in technology, medicine, and environmental studies.

5. Can boundary thickness be controlled or manipulated?

Yes, boundary thickness can be controlled or manipulated through various methods such as changing temperature and pressure, altering the composition of the materials, and applying external forces. This allows scientists to create materials with specific properties and study the effects of boundary thickness on different systems.

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