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Air moves over a flat plate with a uniform free stream velocity of 10 m/s. At a position 15 cm away from the front edge of the plate, what is the boundary layer thickness? Use a parabolic profile in the boundary layer. For air, ν = 1.5 × 10−5 m2/s and ρ = 1.23 kg/m3. Give your answer in mm.
Correct answer is '2.5 to 2.7'. Can you explain this answer?
Verified Answer
Air moves over a flat plate with a uniform free stream velocity of 10...
Assume
The boundary conditions are
Applying momentum integral equation
It is assumed that at x = 0, δ = 0 which yields
C = 0. Thus,
In the proclaim, Rex =
= 0.259 cm
or δ = 2.59 mm
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Air moves over a flat plate with a uniform free stream velocity of 10...
Calculation of Boundary Layer Thickness

Given data:
- Free stream velocity (u∞) = 10 m/s
- Distance from the front edge of the plate (x) = 15 cm = 0.15 m
- Kinematic viscosity of air (ν) = 1.5 × 10−5 m2/s
- Density of air (ρ) = 1.23 kg/m3

Step 1: Calculation of Reynolds number (Re)

Reynolds number is given by:
Re = (ρ*u∞*x)/ν

Substituting the values, we get:
Re = (1.23*10*0.15)/1.5×10^-5
Re = 12300

Step 2: Calculation of Boundary Layer Thickness (δ)

Boundary layer thickness is given by:
δ = (5*x)/(sqrt(Re))

Substituting the values, we get:
δ = (5*0.15)/(sqrt(12300))
δ = 0.0025 m = 2.5 mm (approx)

Therefore, the boundary layer thickness is estimated to be around 2.5 to 2.7 mm.
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Air moves over a flat plate with a uniform free stream velocity of 10 m/s. At a position 15 cm away from the front edge of the plate, what is the boundary layer thickness? Use a parabolic profile in the boundary layer. For air, ν = 1.5 × 10−5 m2/s and ρ = 1.23 kg/m3. Give your answer in mm.Correct answer is '2.5 to 2.7'. Can you explain this answer?
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Air moves over a flat plate with a uniform free stream velocity of 10 m/s. At a position 15 cm away from the front edge of the plate, what is the boundary layer thickness? Use a parabolic profile in the boundary layer. For air, ν = 1.5 × 10−5 m2/s and ρ = 1.23 kg/m3. Give your answer in mm.Correct answer is '2.5 to 2.7'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Air moves over a flat plate with a uniform free stream velocity of 10 m/s. At a position 15 cm away from the front edge of the plate, what is the boundary layer thickness? Use a parabolic profile in the boundary layer. For air, ν = 1.5 × 10−5 m2/s and ρ = 1.23 kg/m3. Give your answer in mm.Correct answer is '2.5 to 2.7'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air moves over a flat plate with a uniform free stream velocity of 10 m/s. At a position 15 cm away from the front edge of the plate, what is the boundary layer thickness? Use a parabolic profile in the boundary layer. For air, ν = 1.5 × 10−5 m2/s and ρ = 1.23 kg/m3. Give your answer in mm.Correct answer is '2.5 to 2.7'. Can you explain this answer?.
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