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A flow over a flat plate at a velocity of 3 ms and ambient conditions are pressure is 760 mm of
Hg and temperature is 15�. The plate is maintained at 85�. If the length of the plate is 100 cm
along the flow of the air, find the heat lost by 50 cm of the plate which is measured from the
trailing edge. Plate width is 50 cm.?
Most Upvoted Answer
A flow over a flat plate at a velocity of 3 ms and ambient conditions ...
Introduction
To determine the heat lost by 50 cm of the plate from the trailing edge, we must analyze the flow characteristics and apply heat transfer principles.
Given Data
- Velocity (V): 3 m/s
- Pressure: 760 mm of Hg
- Temperature (T): 15°C
- Plate Temperature (T_plate): 85°C
- Length of the Plate: 100 cm
- Width of the Plate: 50 cm
- Length for Heat Loss Calculation: 50 cm
Properties of Air
- Density (ρ): Approximately 1.225 kg/m³ at the given conditions.
- Specific Heat (Cp): Approximately 1005 J/kg·K.
- Thermal Conductivity (k): Approximately 0.0257 W/m·K.
Heat Transfer Calculation
1. Reynolds Number Calculation:
- Calculate the Reynolds number (Re) to determine the flow regime (laminar/turbulent).
- Re = (ρ * V * L) / μ, where μ is the dynamic viscosity of air (approximately 1.81 x 10^-5 Pa·s).
2. Nusselt Number:
- For a flat plate, if the flow is laminar, use the relation Nu = 0.332 * Re^(1/2) * Pr^(1/3), where Pr is the Prandtl number (approximately 0.71 for air).
3. Convective Heat Transfer Coefficient (h):
- h = (Nu * k) / L.
4. Heat Loss Calculation:
- The heat lost (Q) can be calculated using the equation:
Q = h * A * (T_plate - T), where A = width * length of the plate segment (0.5 m * 0.5 m).
Conclusion
By following the above calculations, you can determine the heat lost by the specified length of the plate. Ensure all values are accurately substituted to achieve the correct result.
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A flow over a flat plate at a velocity of 3 ms and ambient conditions are pressure is 760 mm of Hg and temperature is 15�. The plate is maintained at 85�. If the length of the plate is 100 cm along the flow of the air, find the heat lost by 50 cm of the plate which is measured from the trailing edge. Plate width is 50 cm.?
Question Description
A flow over a flat plate at a velocity of 3 ms and ambient conditions are pressure is 760 mm of Hg and temperature is 15�. The plate is maintained at 85�. If the length of the plate is 100 cm along the flow of the air, find the heat lost by 50 cm of the plate which is measured from the trailing edge. Plate width is 50 cm.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A flow over a flat plate at a velocity of 3 ms and ambient conditions are pressure is 760 mm of Hg and temperature is 15�. The plate is maintained at 85�. If the length of the plate is 100 cm along the flow of the air, find the heat lost by 50 cm of the plate which is measured from the trailing edge. Plate width is 50 cm.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flow over a flat plate at a velocity of 3 ms and ambient conditions are pressure is 760 mm of Hg and temperature is 15�. The plate is maintained at 85�. If the length of the plate is 100 cm along the flow of the air, find the heat lost by 50 cm of the plate which is measured from the trailing edge. Plate width is 50 cm.?.
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