Example of Mass Balance Problem in Wastewater Treatment Units#

Prepared by Annabelle Li (ali7@nd.edu) and Audrey Hansrisuk (ahansris@nd.edu)

Reference: Chapter 4 in Elementary Principles of Chemical Processes, 4th ed., Felder, R.M.; Rousseau, R.W.; Bullard, L.G. (2015), Question 4.44

Objectives:

  1. Apply knowledge of linear algebra concepts to develop mathematical models.

  2. Use Python to solve a linear system of equations for mass balance problems.

  3. Use Python to scale a system up/down.

  4. Use matplotlib to plot and visualize data.

Target Audience: Chemical engineering undergraduate students.

Helpful Notebooks to Reference:

1.11 Visualization with matplotlib

1.15 Preparing Publiation Quality Figures in Python

4.1 Modeling Systems of Linear Equations

4.5 Errors in Linear Systems

4.6 Example: Mass Balance and Linear Algebra

#Wastewater Treatment Problem

Effluents from metal-finishing plants have the potential of discharging undesirable quantities of metals, such as cadmium, nickel, lead, manganese, and chromium, in forms that are detrimental to water and air quality. A local metal-finishing plant has identified a wastewater stream that contains 5.15 wt% chromium (Cr) and devised the following approach to lowering risk and recovering the valuable metal. The wastewater stream is fed to a treatment unit that removes 95% of the chromium in the feed and recycles it to the plant. The residual liquid stream leaving the treatment unit is sent to a waste lagoon. The treatment unit has a maximum capacity of 4,500 kg wastewater/h. If wastewater leaves the finishing plant at a rate higher than the capacity of the treatment unit, the excess (anything above 4,500 kg/h) bypasses the unit and combines with the residual liquid leaving the unit, and the combined stream goes to the waste lagoon.

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)

Using the given problem, solve the following:

  • Without assuming a basis of calculation, draw and label a flowchart of the process.

  • Wastewater leaves the finishing plant at a rate \(m_{1}\) 6,000 kg/h. Calculate the flow rate of liquid to the waste lagoon, \(m_{6}\) kg/h, and the mass fraction of Cr in this liquid, \(x_{6}\) (kg Cr/kg).

  • Calculate the flow rate of liquid to the waste lagoon and the mass fraction of Cr in this liquid for \(m_{1}\) varying from 1,000 kg/h to 10,000 kg/h in 1,000 kg/h increments. Generate a plot of \(x_{6}\) versus \(m_{1}\).

  • With the information derived throughout this problem, what else would be needed to determine whether or not to add capacity to the treatment unit?

Importing the Libraries#

import numpy as np
import matplotlib.pyplot as plt

1. Flowchart#

Draw and label a flowchart. Calculate the degrees of freedom for the overall process, treatment unit, and mixing points.

Answer:

Degrees of Freedom (DOF) for each point, where \(DOF = unknowns - equations\).

  • Overall process: \(DOF = 2\)

  • Treatment unit: \(DOF = 2\)

  • Mixing point 1: \(DOF = 1\)

  • Mixing point 2: \(DOF = 3\)

Flowchart.png

2. Mathematical Model to Solve for Unknowns#

Propose a mathematical model in to solve for all unknowns. Assume \(m_{1}\) = 6,000 kg/h. First, develop a model to solve for the molar flow rates, and then develop another model to solve for the mass fractions. Hint: Use matrices to develop the mathmetical models, thinking of it in the form of \(\mathbf{A}x=b\). Refer to this Notebook for additional information. These models will then be solved separately in Question 3 to keep all equations linear.

Solutions:

Given values:

  • \(m_{1} = 6000 \:\frac{kg}{h}\)

  • \(m_{2} = 4500 \:\frac{kg}{h}\)

  • \(x_{1,Cr} = x_{2,Cr} = x_{3,Cr} = 0.0515 \:\frac{kg_{Cr}}{kg}\)

  • \(x_{1,H_{2}O} = x_{2,H_{2}O} = x_{3,H_{2}O} = 0.9485 \:\frac{kg_{H_{2}O}}{kg}\)

  • \(x_{4,Cr} = 1.000 \:\frac{kg_{Cr}}{kg}\)

Molar Flow Rate Equations:

  • \(m_3 = m_1 - m_2\)

  • \(m_4 = 0.95\times m_2\times x_{2,Cr}\)

  • \(m_2 = m_4 + m_5\)

  • \(m_1 = m_4 + m_6\)

Matrix form: $$

(90)#\[\begin{equation} \begin{bmatrix} 1 & 0 & 0 & 0\\ 0 & 1 & 0 & 0\\ 0 & 1 & 1 & 0\\ 0 & 1 & 0 & 1 \end{bmatrix} \cdot \begin{bmatrix} m_3 \\ m_4 \\ m_5 \\ m_6 \end{bmatrix} = \begin{bmatrix} m_1 - m_2 \\ 0.95m_2\times x_{2,Cr} \\ m_2 \\ m_1 \end{bmatrix} \end{equation}\]

$$

Mass Fraction Equations:

  • \(m_5\times x_{5,Cr} = m_2\times x_{2,Cr} - m_4\times x_{4,Cr}\)

  • \(m_3\times x_{3,Cr} = m_6\times x_{6,Cr} - m_5\times x_{5,Cr}\)

  • \(x_{5,Cr} + x_{5,H_{2}O} = 1\)

  • \(x_{6,Cr} + x_{6,H_{2}O} = 1\)

Matrix form: $$

(91)#\[\begin{equation} \begin{bmatrix} m_5 & 0 & 0 & 0\\ -m_5 & m_6 & 0 & 0\\ 1 & 0 & 1 & 0\\ 0 & 1 & 0 & 1 \end{bmatrix} \cdot \begin{bmatrix} x_{5,Cr} \\ x_{6,Cr} \\ x_{5,H_{2}O} \\ x_{6,H_{2}O} \end{bmatrix} = \begin{bmatrix} m_2\times x_{2,Cr} - m_4\times x_{4,Cr} \\ m_3\times x_{3,Cr} \\ 1 \\ 1 \end{bmatrix} \end{equation}\]

$$

3. Solve the Linear Systems Using Python#

###3a. Solving for All Flow Rates First, define the function solve_flow to solve for all unknown flow rates for any basis. Hint: numpy has a function to solve for unknowns in a linear system.

# Given values
x1_Cr = x2_Cr = x3_Cr = 0.0515      # kg Cr/kg
x1_H2O = x2_H2O = x3_H2O = 0.9485   # kg H2O/kg
x4_Cr = 1                           # kg Cr/kg

def solve_flow(m1, m2):
  """
  Function to solve the linear model developed to solve for molar flow rates.
  Arguments:
      m1: basis for molar flow rate of m1
      m2: basis for molar flow rate of m2
  Returns:
      x: vector containing the solved values of unknown flow rates
  """
  # Add your solution hereS

Store your answer in the numpy array m_flow and print your solutions.

# Add your solution hereS
The mass flows are:
m3 = 1500.0 kg/h
m4 = 220.2 kg/h
m5 = 4279.8 kg/h
m6 = 5779.8 kg/h

###3b. Matrix Rank and Condition Number What is the rank and condition number of the A matrix in your mathematical model? Print your answers to the screen. Hint: Refer to this Notebook for notes on matrix rank and condition number.

# Add your solution hereS
Rank = 4
Condition number = 3.7320508075688776

Discussion Question: Based on these values, is the model linearly dependent or independent? What is the significance of the rank and condition number?

Answer: The rank of the matrix indicates how many linearly independent equations there are. The rank is 4, so all 4 equations are independent. The condition number tells how the solution changes with uncertainty in the known values. Based on these values, the system is linearly independent.

###3c. Solving for All Mass Fractions Next, define the function solve_comp to solve for all unknown mass fractions given all the molar flow rates. Store your answer in the numpy array x_mass and print your solutions. Hint: You can solve this in the same manner as in 3a.

def solve_comp(m2, m_flow):
    """
    Function to solve the linear model developed to solve for mass fractions.
    Arguments:
        m2: basis for molar flow rate of m2
        m_flow: molar flow rates of m3, m4, m5, m6 corresponding to the basis for m2
    Returns:
        x: vector containing the solved values of unknown mass fractions
    """
    # Add your solution hereS
The mass fractions are:
x5_Cr = 0.00271 kg Cr/kg
x6_Cr = 0.03119 kg Cr/kg
x5_H2O = 0.99729 kg H2O/kg
x6_H2O = 0.96881 kg H2O/kg

4. Plotting \(x_{6,Cr}\) vs. \(m_{1}\)#

Vary \(m_{1}\) from 1,000 kg/h to 10,000 kg/h in 500 kg/h increments and solve for the corresponding \(x_{6,Cr}\) values. Plot \(x_{6,Cr}\) versus \(m_{1}\).

# Add your solution hereS
../../_images/Wastewater-Treatment-Mass-Balance_23_0.png

Discussion Question: What trend do you observe in the plot, and what causes this trend? Is there an optimal value of \(m_{1}\) where \(m_{1}\) is maximized and \(x_{6,Cr}\) is minimized?

Answer: For \(m_{1}\) values from 1000 to 4500 kg/h, \(x_{6,Cr}\) is small and stays constant. For \(m_{1}\) values above 4500 kg/h, \(x_{6,Cr}\) increases. The reason why \(x_{6,Cr}\) is constant and then increases is because the treatment unit has a maximum capacity of 4500 kg/h. For feed flow rates above 4500 kg/h, part of the feed will bypass the treatment unit, resulting in a higher \(x_{6,Cr}\). The optimal value of \(m_{1}\) is 4500 kg/h, which is the treatment unit’s maximum capacity.

5. Discussion Question#

The company has hired you as a consultant to help them determine whether or not to add capacity to the treatment unit to increase the recovery of chromium. What would you need to know to make this determination?

Answer: In deciding whether to add capacity to the treatment, it’s important to know the cost of additional capacity. For example, the costs of installation and maintenance, revenue from additional recovered Cr, anticipated wastewater production in coming years, capacity of waste lagoon, regulatory limits on Cr emissions. Depending on these values, it can be determined whether it’s best to add capacity to the treatment unit or not.