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Module 5: Flowcharts and Ventilation Systems - Hoods - Practice Problems

Features

Introduction

Instructions:
Work these problems on a sheet of paper and check your answers against those provided below.

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Q icon #1
Explain why maintaining a high hood capture efficiency is important.

A icon
Answer: Small declines in hood capture efficiencies can result in significant rises in fugitive emissions. Fugitive emissions escape directly into the plant air, bypassing the air pollution control equipment, and eventually pass through roof vents and doors into the atmosphere. Even when hood capture efficiencies approach 100%, fugitive emissions can be higher than emissions leaving the stack.

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Q icon #2
Process equipment generates 80 pounds per hour of VOCs. The hood capture efficiency is 92% and the catalytic oxidizer has a removal efficiency of 95%.

  1. Calculate the fugitive emissions.
  2. Calculate the stack emissions.

A icon
Answer: i. 6.4 lbm/hr

Solution:

Practice Equation 1(2)i

Answer: ii. 3.7 lbm/hr

Solution:

Practice Equation 1(2)ii

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Practice Problems

Operating Principles

Instructions:
Work these problems on a sheet of paper and check your answers against those provided below.

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Q icon #1
Why is hood placement such an important factor in the capture of fugitive emissions?

A icon
Answer: Hood placement is so important in the capture of fugitive emissions because the volumetric gas flow rate required to pull the pollutant into the ductwork varies with the square of the distance between the hood and the pollutant source (see equation below for a freely suspended hood without a flange).

Practice Equation 2(1)

Where:Practice Equation 2(1)a

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Q icon #2
What factors affect the determination of the recommended hood capture velocity for a contaminant?

A icon
Answer: The following factors should be considered when determining the recommended hood capture velocity for a contaminant:

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Q icon #3
Describe three hood designs that improve capture efficiency.

A icon
Answer: Side baffles or flanges on hoods block the movement of clean air into the hood, which allows the hood capture velocity zones to extend outward slightly. Gas flow rates for hoods with side baffles or flanges can be slightly lower than for hoods without these structures. Baffles and flanges on hoods help eliminate cross drafts, which can prevent the intended movement of pollutant-laden gas into the hood. Hood capture is further improved when the enclosure comprised of the hood and side baffles encompasses the point of pollutant generation.

Some process equipment such as coal-fired boilers, inherently create an enclosed area for pollutant capture. In this case, the boiler walls serve as the hood.

The push-pull hood uses a clean, high-velocity air stream that flows toward the hood and traps the pollutant-laden gas in its cross draft. This type of hood is often used on open tanks but is not appropriate in situations where the cross draft could significantly increase the quantities of vaporized pollutants.

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Q icon #4
Find the furthest distance that a flanged hood, with dimensions of 6 in. by 12 in., can be placed from the contaminant source and still maintain the capture velocity of 300 fpm and a volumetric flow rate of 2000 ACFM. The equation for a flanged hood is provided below.

Equation 2(4)

Where:Equation 1a

A icon
Answer: 11 in.

Solution:
  1. Solve for X using the following equation.

    Equation 2(4-1)

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Q icon #5
The recommended capture velocity for a certain pollutant is 400 fpm entering a 14-inch diameter hood (without flange). What is the required volumetric flow rate if the farthest distance from the hood face to the released contaminant is 12 inches?

A icon
Answer: 4,428 ACFM

Solution:

Practice Equation 2(5)
  1. Calculate the area of the hood opening.

    Practice Equation 2(5_1)

  2. Calculate the volumetric flow rate, Q, required to attain the recommended capture velocity of 400 fpm at a distance of 12 inches from the hood.

    Practice Equation 2(5_2)

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Practice Problems

Monitoring Performance

Instructions:
Work these problems on a sheet of paper and check your answers against those provided below.

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Q icon #1
Calculate the velocity pressure of a duct with an entry loss coefficient of 0.93 and a static pressure of -0.8. in. W.C.

A icon
Answer: 1.415 in W.C.

Solution:

Practice Equation 3(1)

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Q icon #2
Using the data provided in Problem 1, calculate the gas flow rate for a duct that has a 10-inch diameter. Assume the gas is at standard conditions.

A icon
Answer: 1,406 ft3/min

Solution:
  1. Calculate the gas velocity from the velocity pressure. At standard conditions, Actual = 0.075 lbm/ft3.

    Practice Equation 3(2_1)

  2. Calculate the cross-sectional area of the duct.

    Practice Equation 3(2_2)

  3. Calculate the gas flow rate, Q.

    Practice Equation 3(2_3)

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Q icon #3
What would happen to the hood static pressure and fugitive emissions if the ductwork developed a hole?

A icon
Answer: The hole would allow air from outside the duct to enter the system, which would in effect short-circuit the hood. The hood static pressure would drop (become less negative) and the hood would draw less contaminated air into the duct. The capture efficiency of the hood would decrease causing an increase in fugitive emissions.

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Practice Problems

Transport Velocity

Instructions:
Work this problem on a sheet of paper and check your answers against the one provided below.

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Q icon #1
The recommended transport velocity for a particular pollutant is 3000 fpm. The airflow rate is 1,750 ACFM and the duct diameter is 10 inches. Will the recommended transport velocity be met under these conditions?

A icon
Answer: Yes

Solution:

Practice Equation 4(1)
  1. Calculate the cross-sectional area of the duct.

    Practice Equation 4(1_1)

  2. Calculate the gas velocity.

    Practice Equation 4(1_2)

    The gas velocity exceeds the recommended transport velocity of 3000 fpm.

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