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FLUID MECHANICS - CASE STUDY SOLUTION

Table: Boundary Layer Thickness δ at a
Distance x from the Leading Edge

x (mm) δ (mm)
0 0
5 0.118
10 0.167
15 0.205
20 0.237
25 0.265
30 0.290
35 0.313
40 0.335
45 0.355
50 0.374
55 0.393
56 0.396


Boundary Layer Profile

 

The properties of water at 16oC are,

     ρ = 999 kg/m3
     μ = 1.12 × 10-3 N-s/m2

When water flows past an infinite flat plate, the critical Reynolds number is 5 ×105. That is,

     

Hence, it is found that the boundary layer turns from laminar to turbulent at a critical distance of 56.1 mm.

The laminar profile of the boundary layer is given by Blasius' solution, which is

     

The boundary layer thickness at a distance x from the flat plate leading edge is summarized in the table and plotted in the figure shown on the left.

     
   
 
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