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Air at atmospheric pressure and 10C flows past a flat plate which is maintained at 90 C temperature. The plate is 1m wide and 1.5m long and the rate of energy dissipation is 3750 W. Adopt the following carrelations for laminar flow
for turbulent flow
At the mean temperature of 50C, the thermal-physical properties of air are:
The velocity (in m/s ) at which air flows over the plate, if flaw of air is along the length of plate
  • a)
    9.11
  • b)
    9.15
Correct answer is between '9.11,9.15'. Can you explain this answer?
Verified Answer
Air at atmospheric pressure and 10∘C flows past a flat plate which is...
Convection heat flow, Q=hAΔt
⇒3750=h×(2×1×1.5)×(90−10)
Now, Nusselt number
Assuming laminar flow along the plate
837.05 = 0.664(Pe)°5(0.703)0.33
> Re = 2.01 x 106
Sa,the Reynalds number is greater than the critical Reynalds number (2 x 105). So assumption made of laminar flow is wrong. So, the flow is turbulent. Then,
⇒ Re = 7.354 x 105
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Air at atmospheric pressure and 10∘C flows past a flat plate which is maintained at 90∘ C temperature. The plate is 1m wide and 1.5m long and the rate of energy dissipation is 3750 W. Adopt the following carrelations for laminar flow for turbulent flowAt the mean temperature of 50∘C, the thermal-physical properties of air are:The velocity (in m/s ) at which air flows over the plate, if flaw of air is along the length of platea)9.11b)9.15Correct answer is between '9.11,9.15'. Can you explain this answer?
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Air at atmospheric pressure and 10∘C flows past a flat plate which is maintained at 90∘ C temperature. The plate is 1m wide and 1.5m long and the rate of energy dissipation is 3750 W. Adopt the following carrelations for laminar flow for turbulent flowAt the mean temperature of 50∘C, the thermal-physical properties of air are:The velocity (in m/s ) at which air flows over the plate, if flaw of air is along the length of platea)9.11b)9.15Correct answer is between '9.11,9.15'. 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 Air at atmospheric pressure and 10∘C flows past a flat plate which is maintained at 90∘ C temperature. The plate is 1m wide and 1.5m long and the rate of energy dissipation is 3750 W. Adopt the following carrelations for laminar flow for turbulent flowAt the mean temperature of 50∘C, the thermal-physical properties of air are:The velocity (in m/s ) at which air flows over the plate, if flaw of air is along the length of platea)9.11b)9.15Correct answer is between '9.11,9.15'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air at atmospheric pressure and 10∘C flows past a flat plate which is maintained at 90∘ C temperature. The plate is 1m wide and 1.5m long and the rate of energy dissipation is 3750 W. Adopt the following carrelations for laminar flow for turbulent flowAt the mean temperature of 50∘C, the thermal-physical properties of air are:The velocity (in m/s ) at which air flows over the plate, if flaw of air is along the length of platea)9.11b)9.15Correct answer is between '9.11,9.15'. Can you explain this answer?.
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