# Shell/Integral Balances (SIB)

### Shell/Integral Balances

Shell or integral (macroscopic) balances are often relatively simple to solve, both conceptually and mechanically, as only limited data is necessary. At the same time, many problems require only the level of detail that may be extracted from these types of balances and thus they represent powerful tools.

• Perform control volume (or macroscopic) balances
• Derive and use a macroscopic mass balance (continuity equation) [4.1, 4.2] [notes]
• Derive and use a macroscopic momentum balance [5.1, 5.2] [notes]
• Derive and use a macroscopic energy balance [6.1, 6.2] [notes]
• Use the General Mechanical Energy Balance Equation to perform calculations on simple pipe networks and/or process problems [6.3]
• Explain the connection between a macroscopic energy balance and Bernoulli's Equation
• Use Bernoulli's Equation to calculate velocities, pressures, or height changes in flowing fluid systems [notes]
• Extend the Bernoulli's Equation for more general cases (i.e., write and use the mechanical form of the macroscopic energy balance equation) [notes]
• Solve heat transfer problems on macroscopic bodies [p241-243]
• Determine the efficiency of a fin [notes]
• Calculate the heat flow through a fin from the fin's efficiency [notes]