Differential Balance Equations
Differential balances, although more complex to solve, can yield a
tremendous wealth of information about ChE processes. General
balance equations for each of the modes of transport can easily be
derived either directly from shell balances or via control volume
analysis. Understanding the origin and meaning of the terms that
make up these balance equations lies at the heart of posing and
solving complex transport problems.
- Describe the physical meaning of each of the terms within a
general thermal energy balance
- Simplify the general thermal energy balance equation
(identifying assumptions)
- Identify reasonable boundary conditions in a conduction problem
(explain when each is most useful)
- Describe the physical meaning of each of the terms within a
differential mass balance equation
- Simplify the mass balance equation (identifying
assumptions)
- Identify reasonable boundary conditions in a mass transport
problem (explain when each is most useful)
- Describe the physical meaning of each of the terms within the
momentum balance
- Explain the physical meaning of the terms in the differential
Continuity and Navier-Stokes Equations
- Simplify both the differential Continuity and Navier-Stokes
Equations
- Identify proper boundary conditions for use with the
Navier-Stokes equations