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A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.
Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.
- a)2 cm and 90 N/m2
- b)1.02 cm and 88 N/m2
- c)2.5 cm and 92 N/m2
- d)0.5 cm and 85 N/m2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of c...
Kinematic viscosity v = 1 stoke = 1 × 10−4 m2⁄s At the middle of plate,
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This is less than the critical Reynolds number for transition to turbulent flow 5 × 105. Thus the boundary layer is of laminar character and the Blasius solution gives:
= 87.8 N ⁄ m2
Most Upvoted Answer
A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of c...
Given data:
Width of plate (b) = 0.2 m
Length of plate (L) = 0.5 m
Velocity of crude oil (V) = 6 m/s
Specific gravity of oil (𝜌) = 0.9
Kinematic viscosity of oil (𝜈) = 1 stroke
Boundary layer thickness (δ):
Consider the laminar flow of oil over the plate, then the boundary layer thickness can be determined by using the following formula:
δ = 5.0 x L / (Re√(3))
Where Re is the Reynolds number and can be calculated by using the formula:
Re = V x L / 𝜈
Substituting the given values, we get:
Re = 6 x 0.5 / 1 = 3
δ = 5.0 x 0.5 / (3√(3)) = 0.0102 m = 1.02 cm
Therefore, the option (b) is correct.
Shear stress (τ):
The shear stress at the middle of the plate can be calculated by using the following formula:
τ = 0.33 x 𝜌 x V^2
Substituting the given values, we get:
τ = 0.33 x 0.9 x 6^2 = 88 N/m^2
Therefore, the option (b) is correct.
Width of plate (b) = 0.2 m
Length of plate (L) = 0.5 m
Velocity of crude oil (V) = 6 m/s
Specific gravity of oil (𝜌) = 0.9
Kinematic viscosity of oil (𝜈) = 1 stroke
Boundary layer thickness (δ):
Consider the laminar flow of oil over the plate, then the boundary layer thickness can be determined by using the following formula:
δ = 5.0 x L / (Re√(3))
Where Re is the Reynolds number and can be calculated by using the formula:
Re = V x L / 𝜈
Substituting the given values, we get:
Re = 6 x 0.5 / 1 = 3
δ = 5.0 x 0.5 / (3√(3)) = 0.0102 m = 1.02 cm
Therefore, the option (b) is correct.
Shear stress (τ):
The shear stress at the middle of the plate can be calculated by using the following formula:
τ = 0.33 x 𝜌 x V^2
Substituting the given values, we get:
τ = 0.33 x 0.9 x 6^2 = 88 N/m^2
Therefore, the option (b) is correct.
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A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. Can you explain this answer?
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A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. 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 A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. 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 A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. Can you explain this answer?.
A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. 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 A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. 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 A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A plate 0.5 m × 0.2 m has been placed longitudinally in a stream of crude oil which flows with undisturbed velocity of 6 m⁄s.Given that oil has a specific gravity 0.9 and kinematic viscosity 1 stroke, calculate the boundary layer thickness and shear stress at the middle of plate.a) 2 cm and 90 N/m2b) 1.02 cm and 88 N/m2c) 2.5 cm and 92 N/m2d) 0.5 cm and 85 N/m2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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