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EHST 3600: Air Pollution – Homework 2 1

EHST 3600 HOMEWORK 2 Calculation of the Effective Stack Height (10 points)

Instruction: Show ALL calculations. Submit on Sept. 27, 2016, Tuesday in class. The wind speed at the top of a stack was measured as 5 m/s, while the stack gas velocity was measured as 8 m/s. The stack has a height of 67 m, and a diameter of 3.5 m. The atmospheric stability condition is unstable, with a temperature of 305 K. The stack temperature is 480. 1) Is there a possibility of a downwash? Show all calculations. (1 pt) 2) Calculate the buoyancy flux. Show all calculations. (1 pt) 3) Calculate the crossover temperature difference. Show all calculations. (2 pt)

EHST 3600: Air Pollution – Homework 2 2

4) Is the plume rise dominated by momentum or by buoyancy? Explain through calculations. (2 pt)

5) Calculate the plume rise. Show all calculations. (2 pt)

6) Calculate the effective stack height. Show all calculations. (2 pt)

EHST 3600: Air Pollution – Homework 2 3

EXTRA CREDIT (5 POINTS) (to be added to Exam 2) NOTE: You must show ALL calculations to get credit. The wind speed at the top of a stack and the stack gas velocity were measured as 5 and 7 m/s, respectively. The stack diameter is 3 m with a 55-m physical stack height. The atmospheric stability condition is stable with a temperature of 290 K, and the stack temperature is 475 K. The stability parameter, s, is 0.00068. 1) Is there a possibility of a downwash? Show all calculations. (1 pt)

2) Is there a need to calculate the reduced stack height? If no, explain why? If yes, calculate the reduced stack height? (1 pt)

3) Calculate the crossover temperature difference. Show all calculations. (1 pt)

EHST 3600: Air Pollution – Homework 2 4

4) Calculate the plume rise. Show all calculations. (1 pt)

5) Calculate the effective stack height. Show all calculations. (1 pt)