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Process Control Tutorials
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- Mangosuthu University Of Technology (MUT)
Process Control Tutorials
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4 March 2020.Tutorials: Mathematical model
Mass balance:
1. A feed is introduced into a well stirred tank at a flowrate of F o (m3/hr) and density ρo (kg/m3).
Derive a mathematical model representing the change in volume on this system.
2. A feed is introduced into a well stirred tank at a flowrate of F o (m3/hr) and density ρo (kg/m3)
and leaves thank at F (m3/hr) and density ρ (kg/m3) .
Derive a mathematical model representing the change in volume on this system.
3. A feed is introduced into a well stirred tank at a flowrate of F o (m3/hr) and density ρo (kg/m3)
and leaves thank at W (kg/hr) and density ρ (kg/m 3) .
Derive a mathematical model representing the change in volume on this system.
4. Two feed are introduced into a well stirred tank at a flowrate of W 1 (kg/hr) and density ρ1
(kg/m3) and W2 (kg/hr). The tank is of fixed area, A m2 .
Derive a mathematical model representing the change in height of this system.
5. A feed is introduced into a well stirred tank at a flowrate of F o (m3/hr) and density ρo
(kg/m3) and leaves the tank at same rate F (m 3/hr) and density ρ (kg/m3) .
Derive a mathematical model representing the change in volume on this system.
6. A batch tank is used to store the water of volume, V (m 3). Describe a mathematical model
representing this system.
7. A tank is being drained of liquid at a rate W (ton/hr) where the density is ρ (kg/m3). Describe
a mathematical model representing this system.
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