midterm - J. Buongiorno / Spring 2007 22.313J, 2.59J,...

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J. Buongiorno / Spring 2007 22.313J, 2.59J, 10.536J THERMAL-HYDRAULICS IN POWER TECHNOLOGY Tuesday, April 3 rd , 2007, 2:00 – 3:30 p.m. OPEN BOOK MID-TERM QUIZ 1.5 HOURS Problem 1 (50%) – Bubbly flow of air in a vinegar fermentation tank To cut production time, a vinegar-making company is experimenting with air injection in an aerobic fermentation tank. The tank consists of a vertical cylindrical pool of 1.2 m diameter, whose bottom plate has thousands of 0.5-mm holes, through which the air is injected. The equivalent diameter of the bubbles generated at the holes is 1 mm. The mass flow rate of air is 0.02 kg/s. The tank contains 1500 kg of vinegar. i) Calculate the rise velocity of the air bubbles in the tank. Assumption: ignore bubble coalescence and breakup. (10%) ii) Calculate the increase of the pool free level due to air injection. Hint: To calculate the void fraction, use the drift flux model with C =1 (uniform air injection) and V o vj equal to the bubble rise velocity calculated in question ‘i’. (30%)
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 20.410j taught by Professor Rogerd.kamm during the Spring '03 term at MIT.

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midterm - J. Buongiorno / Spring 2007 22.313J, 2.59J,...

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