Chapter 4. Case study: Distillation
Flash distillation of binary mixture
Flash distillation consists of vaporizing a definite fraction of the liquid in such a way that the evolved
vapor is in equilibrium with the residual liquid, separating the vapor from

Chapter 8. Case study: Fiber Spinline
Introduction
Fiber spinning is a process in which an extruded liquid filament, usually a polymeric liquid, is
continuously drawn and simultaneously solidified to form a continuous fiber.
There are three fundamental pr

Chapter 3. Conservation of Energy
Thermodynamic variables
The principle of conservation of energy:
rate of change of
energy in the
control volume
=
rate at which
energy enters
rate at which
energy leaves
by flow,
by heating or cooling at the boundaries of

Chapter 7. From Discrete to Continuous
Introduction
Process models are usually ODEs or PDEs. Mathematical structure is inherently continuous in the
independent variables.
Some problems are inherently discrete, either because of a spatial staging or a casc

Chapter 2. Conservation of Mass
A continuous flow stirred-tank reactor
Now, consider a tank reactor which includes a chemical reaction:
A + B+ M + N +
Control volume: by assuming that the reactor is well stirred, we can take the entire tank as the contro

Chapter 1. Introduction to Models in CBE
What is a model?
A model is a quantification of a physical process that enables prediction of process behavior.
A mathematical model of a process is a system of equations whose solution, given specified input
data

Chapter 6. Case study: Microfluidic H-filter
(Mass transfer)
The mass balance for species
For homogenous medium with spatial distribution of concentration, control volume is of differential
size. The balance equation will be
= | |+ + | |+ + | |+
+ | |

Chapter 6. Case study: Microfluidic H-filter
(Mass transfer)
The mass balance for species
For homogenous medium with spatial distribution of concentration, control volume is of differential
size. The balance equation will be
= | |+ + | |+ + | |+
+ | |