18.1.2. Department of Civil Engineering

Try these first

1. 1.

   Define conservation of mass.

   Hint

   Think about the total mass before and after a process.

2. 2.

   What does the Reynolds transport theorem help us connect?

   Hint

   Remember the relationship between control volume and surface flow.

3. 3.

   What does the conservation of momentum principle state?

   • Mass is conserved
   • Momentum is conserved in a closed system
   • Energy is conserved

   Hint

   Consider what remains constant in physical interactions.

4. 4.

   True or False: Steady flow means that all fluid properties are constant over time.

   • True
   • False

   Hint

   Think about how steady flow describes uniform behavior.

5. 5.

   Analyze a system with two inflows of different velocities and one common outlet. Using conservation laws, derive the outlet velocity given the conditions.

   Hint

   Use the basic principle that total inflow equals total outflow in steady conditions.

6. 6.

   Design a problem scenario for seepage through a soil matrix, specifying different inflow rates and soil characteristics. Calculate the time required to fill a particular volume.

   Hint

   Focus on how inflows and outflows relate, and express them through the storage equation.