250°C तापमान पर रखे 50 cm × 75 cmआकार के हॉट प्लेट के ऊपर से 20°C की वायु प्रवाहित होती है। संवहन ऊष्मा अंतरण गुणांक 25\(\rm {W \over m^2}\)°C है। ऊष्मा अंतरण दर ________ है।

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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  1. 2.156 kW
  2. 3.863 kW
  3. 1.764 kW
  4. उपर्युक्त में से कोई नहीं

Answer (Detailed Solution Below)

Option 1 : 2.156 kW
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संकल्पना:

न्यूटन के शीतलन नियम के अनुसार,

Q = h A dT

जहाँ, Q = ऊष्मा स्थानांतरण, h = संवहनी ऊष्मा स्थानांतरण गुणांक, A = पृष्ठीय क्षेत्रफल, dT = तापमान प्रवणता। 

गणना:

दिया गया है:

T∞ = 20°C, प्लेट का क्षेत्रफल = 50 × 75 cm2, Ts = 250°C, h = 25 W/m2°C

Q = 25 × 50 × 75 × 10-4 × (250 – 20)

Q = 2156.25 W = 2.156 kW.
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