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MMLU-Pro / 12091 / A 3.5m × 2m vertical plate is subjected to a constant heat flux of 800 W/m^2.…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A 3.5m × 2m vertical plate is subjected to a constant heat flux of 800 W/m^2. The back of the plate is insulated and the ambient air temperature is 30°C. Determine the average surface temperature of the plate, assuming that all the incident radiation is lost by free convection to the surrounding air. Physical Properties of Air at Atmopheric Pressure (SI Units) T (°C) T (K) \rho (kg/m^3) C_p (kJ/kg\bulletK) \mu × 105 (Pa\bullets,or kg/m\bullets) k (W/m\bulletk) Pr \beta×10^3 (1/K) g\beta\rho^2/\mu^2 (1/K\bulletm^3) - 17.8 255.4 1.379 1.0048 1.62 0.02250 0.720 3.92 2.79 × 10^8 0 273.2 1.293 1.0048 1.72 0.02423 0.715 3.65 2.04 × 10^8 10.0 283.2 1.246 1.0048 1.78 0.02492 0.713 3.53 1.72 × 10^8 37.8 311.0 1.137 1.0048 1.90 0.02700 0.705 3.22 1.12 × 108 65.6 338.8 1.043 1.0090 2.03 0.02925 0.702 2.95 0.775 × 10^8 93.3 366.5 0.964 1.0090 2.15 0.03115 0.694 2.74 0.534 × 10^8 121.1 394.3 0.895 1.0132 2.27 0.03323 0.692 2.54 0.386 × 10^8 148.9 422.1 0.838 1.0174 2.37 0.03531 0.689 2.38 0.289 × 10^8 176.7 449.9 0.785 1.0216 2.50 0.03721 0.687 2.21 0.214 × 10^8 204.4 477.6 0.740 1.0258 2.60 0.03894 0.686 2.09 0.168 × 10^8 232.2 505.4 0.700 1.0300 2.71 0.04084 0.684 1.98 0.130 × 10^8 260.0 533.2 0.662 1.0341 2.80 0.04258 0.680 1.87 1.104 × 10^8

category

engineering

options

  1. 185°C
  2. 80°C
  3. 104°C
  4. 70°C

src

stemez-HeatTransfer

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Source and history

upstream_id / Original problem ID
12091
task_id
fb327e6d-9f8b-531f-b17d-17f0b6569a5b
task_key
default--test--12091
task_revision_id
1
config / split
default / test

Official source

initial import