1. Determine the terminal settling velocity and Reynolds number of cast iron dus

Question

1. Determine the terminal settling velocity and Reynolds number of cast iron dust particles (density 7593 kg/) having a diameter of 45 micrometers in air at 2832 K and 101.325 kPa (Air density=1.246 kg/, viscosity-1.78x10-5 Pa-s) CaCOs particles of 0.10 mm and density of 1500 kg/m5 are settling in water at 311.0 K. The mass fraction of water is 0.7. Calculate the settling velocity of the particles, and Reynolds number (water density=994.7 kg/, viscosity=0.682x10-3 Pa-s) 2. 3. Iron (density 7593 kg/m2) and aluminum (density 2707 kg/) of sizes 0.02 mm to 0.05 mm settle down in a solution of water at 37.8°C. what are the velocities and fractions for the pure iron, pure aluminum and mixed fractions? 1000 100 3 10 24 Re 0.1 10-3 102 101 0 10 10 104 105 10 Reynolds number, Np.-

Explanation / Answer

1.

At Re <= 2, Cd = 24/Re

Terminal settling velocity = (p – f) g d2 / 18

v = (7593 – 1.246) * 9.8 * (45 x 10-6)2 / (18 * 1.78 x 10-5)

= 0.47 m/s

Re = 1.246 * 0.47 * 45 x 10-6 / 1.78 x 10-5

= 1.48 < 2

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