A sphere of ice, 5 cm in diameter, is exposed to 65 km/h wind with 15 percent relative humidity. Both the ice sphere and air are at ? 1°C and 90 kPa. Predict the rate of evaporation of the ice in g/h by use of the following correlation for single spheres: Sh = [4.0 + 1.21 (ReSc)2/3]0.5. Data at ? 1°C and 90 kPa: , kinematic viscosity (air) = 1.32 × 10?7 m2/s, vapor pressure (H2O) = 0.56 kPa and density (ice) = 915 kg/m3.

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A sphere of ice is exposed to wind. The ice evaporation rate is to be determined.

Assumptions 1 The low mass flux model and thus the analogy between heat and mass transfer is applicable since the mass fraction of vapor in the air is low (about 2 percent for saturated air at 300 K). 2 The flow is fully developed.

Properties The properties are given in problem statement.

Analysis The Reynolds and Schmidt numbers are

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