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A flow over a flat plate at a velocity of 3 m/s and ambient conditions are pressure is 760 mm of
Hg and temperature is 15�C. The plate is maintained at 85�C. 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 m/s and ambient conditions...
Flow Characteristics
- The flow over the flat plate is characterized by a velocity of 3 m/s.
- Ambient conditions include a pressure of 760 mm Hg and a temperature of 15°C.
- The plate is maintained at a temperature of 85°C.
- The length of the plate is 100 cm, and the width is 50 cm.
Heat Transfer Analysis
- To find the heat lost by the trailing 50 cm of the plate, we need to calculate the convective heat transfer coefficient (h) using empirical correlations for flow over flat plates.
- The Nusselt number (Nu) can be estimated using the Reynolds number (Re) and Prandtl number (Pr) for air at the given conditions.
Calculating Reynolds Number
- The Reynolds number can be calculated as:
Re = (Velocity * Length) / Kinematic viscosity
- The kinematic viscosity of air at 15°C can be approximated to 1.5 x 10^-5 m²/s.
Convective Heat Transfer Coefficient
- Using the calculated Nusselt number, the convective heat transfer coefficient can be determined:
h = (Nu * k) / L
- Where k is the thermal conductivity of air.
Heat Loss Calculation
- The heat lost can be calculated using Newton’s Law of Cooling:
Q = h * A * (Ts - T∞)
- Here, A is the surface area of the trailing 50 cm of the plate:
A = Length * Width = 50 cm * 50 cm = 0.25 m².
- Ts is the plate temperature (85°C) and T∞ is the ambient temperature (15°C).
Conclusion
- By substituting the values into the heat loss equation, you will find the heat lost from the trailing edge of the plate. Make sure to convert units appropriately for consistency.
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A flow over a flat plate at a velocity of 3 m/s and ambient conditions are pressure is 760 mm of Hg and temperature is 15�C. The plate is maintained at 85�C. 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 m/s and ambient conditions are pressure is 760 mm of Hg and temperature is 15�C. The plate is maintained at 85�C. 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 m/s and ambient conditions are pressure is 760 mm of Hg and temperature is 15�C. The plate is maintained at 85�C. 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 m/s and ambient conditions are pressure is 760 mm of Hg and temperature is 15�C. The plate is maintained at 85�C. 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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