Consider a solid sphere, 50 cm in diameter embedded with electrical heating elements such that its surface tempera- lure is always maintained constant at 60°C. The sphere is placed in a large pool of oil held at a constant temperature of 20°C. Using the oil properties tabulated below, calculate the rate of heat transfer in steady operation for each of the following scenarios.
(a) Heat flow in the oil is assumed to occur only by conduction.
(b) The oil is circulated across the sphere at an average velocity of 1.50 m/s.
(c) The pump causing the oil circulation in part (b) has broken down:
T,°C | k, W/m·K | ρ, kg/m3 | cp, J/kg · K | μ, mPa · s | β, K-1 |
20.0 | 0.22 | 888.0 | 1800 | 10.0 | 0.00070 |
40.0 | 0.21 | 876.0 | 1965 | 7.0 | 0.00070 |
60.0 | 0.20 | 864.0 | 2050 | 4.0 | 0.00070 |
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