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A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m2/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________
  • a)
    6.12
  • b)
    2.34
  • c)
    4.23
  • d)
    5.43
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of ...
Pr = 3
T∞ = 500 k
6 = 1.5 m
T3 = 300 k, x = 0.5 m
V = 10 m/s
v = 30 × 106 m2/s
= 5 x 105
Laminar flow
= 166666.67
= 0.00612 m
Sth = δ = 0.00612 m = 6.12 mm.
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Most Upvoted Answer
A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of ...
Given data:
- Prandtl number (Pr) = 1
- Temperature of the fluid (Tf) = 500 K
- Temperature of the flat plate (Tp) = 300 K
- Length of the flat plate (L) = 1.5 m
- Velocity of the fluid (V) = 10 m/s
- Kinematic viscosity (ν) = 30 × 10^(-6) m^2/s

Thermal boundary layer thickness:
The thermal boundary layer thickness (δt) can be determined using the formula:

δt = (5.0 × x) / (Pr × (Re_x)^0.5)

where,
- x is the distance from the leading edge of the flat plate (0.5 m in this case)
- Re_x is the Reynolds number at distance x

Reynolds number:
The Reynolds number (Re) can be calculated using the formula:

Re = (V × L) / ν

where,
- V is the velocity of the fluid
- L is the length of the flat plate
- ν is the kinematic viscosity

Calculations:
1. Reynolds number (Re):
Re = (10 × 1.5) / (30 × 10^(-6))
= 500

2. Thermal boundary layer thickness (δt):
δt = (5.0 × 0.5) / (1 × (500)^0.5)
= 6.12 mm

Therefore, the thermal boundary layer thickness at 0.5 m from the leading edge is 6.12 mm.
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A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m2/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________a)6.12b)2.34c)4.23d)5.43Correct answer is option 'A'. Can you explain this answer?
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A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m2/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________a)6.12b)2.34c)4.23d)5.43Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m2/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________a)6.12b)2.34c)4.23d)5.43Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fluid (Prandtl number, Pr = 1) at 500 K flows over a flat plate of 1.5 m length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity, ν = 30 × 10 − 6 m2/s, the thermal boundary layer thickness (in mm) at 0.5 m from the leading edge is __________a)6.12b)2.34c)4.23d)5.43Correct answer is option 'A'. Can you explain this answer?.
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