Derive the expression for the modified effectiveness*, given in Comment 4 of Example 11.8. Example 11.8 Spherical
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Derive the expression for the modified effectivenessε*, given in Comment 4 of Example 11.8.
Example 11.8
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Spherical steel balls of diameter D = 10 mm are cooled from an initial temperature of Thi = 1000 K by submersing them in an insulated oil bath initially at Ti = 300 K. The total mass of the balls is m = 200 kg, while the mass of oil is me = 500 kg. The convection coeffi- cient associated with the spheres and the oil is h = 40 W/m².K, and the steel properties are kn = 40 W/mK, Ph = 7800 kg/m³, and Ch = 600 J/kg. K. Determine the steady-state ball and oil temperatures, and the time needed for the balls to reach a temperature of Thf = 500 K.
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Fundamentals Of Heat And Mass Transfer
ISBN: 9780470501979
7th Edition
Authors: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt
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