1.3. Specific Solution for Flow

Try these first

1. 1.

   What is the Laplace Equation for one-dimensional flow?

   Hint

   Think about the second derivative of hydraulic head with respect to distance.

2. 2.

   Define an equipotential line.

   Hint

   Consider how water would flow along such a line.

3. 3.

   What does the Laplace Equation describe in fluid dynamics?

   • Flow velocity
   • Potential flow fields
   • Pressure gradients

   Hint

   Consider its application in analyzing flow patterns.

4. 4.

   True or False: Equipotential lines and flow lines can meet.

   • True
   • False

   Hint

   Think about the definition of each line.

5. 5.

   Given a permeameter with a head of 20 m at one end and 0 m at the other, and a length of 15 m, derive the flow rate if k = 4 m/day.

   Hint

   Identify the head drop and apply it into the flow rate formula.

6. 6.

   When observing a dam with multiple flow channels, each contributing 3 m³/day to the total flow rate, how would you calculate the overall flow with 5 such channels?

   Hint

   Think about how aggregation impacts total flow rate.