Mathematical Principles in Environmental Engineering
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Lecture2-MaterialBalance_43a8dac1dd8a56359e234387af42f7cf.pdf
Mathematical Principles in Environmental Engineering
Material Balances Dr. Mohamad Yassine
Law of Mass Conservation
In an isolated system, mass is neither created nor destroyed by chemical reactions or physical transformations.
Process Boundary
Input Accumulation
Generation Consumption
Inputs – Outputs = Accumulation + Generation – Consumption
General Form:
true for each and every type of material coming in/out of the system. Dr. Mohamad Yassine 2
Material Balance Exercise 1 Chemicals Addition/Dilution System
Dr. Mohamad Yassine 3
Material Balance Exercise 2 Chemical Species in A River System
Dr. Mohamad Yassine 4
Illustrative Example:
Material Balance Exercise 3 Refuse Disposal
Dr. Mohamad Yassine 5
Material Balance Exercise 4 SOx Air Pollution Modeling
Dr. Mohamad Yassine 6
Material Balance Exercise 5 Simple Distillation Column
Dr. Mohamad Yassine 7
Material Balance Exercise 6 & 7 Capacity of Sewers and Manholes
Dr. Mohamad Yassine 8
Exercise 6: Exercise 7:
Material Balance Exercise 8 Two-Step Distillation Column
Dr. Mohamad Yassine 9
Material Balance Exercise 9 Hydrological Cycle Balance
Dr. Mohamad Yassine 10
Illustrative Example
Material Balance Exercise 10 Plastic Separation Process Design
Dr. Mohamad Yassine 11
Illustrative Example
Material Balance in Reactive Systems Secondary WWT: The Activated Sludge System
Dr. Mohamad Yassine 12
Note that there are reactions (biological, chemical, or physical) inside each tank!
Material Balance in Reactive Systems Sludge Digestion in WWT
Dr. Mohamad Yassine 13
Note that there are reactions (biological, chemical, or physical) inside each tank!
Material Balance in Reactive Systems Material Flow in Solid Waste Incinerator
Dr. Mohamad Yassine 14
Note that there are reactions (biological, chemical, or physical) inside each Step!
