5.5.3. Pressure Gradients and Flow Patterns

Try these first

1. 1.

   Define stream function and its role in fluid mechanics.

   Hint

   Think about how streamlines help visualize fluid paths.

2. 2.

   What is a pressure gradient?

   Hint

   Consider how fluid moves from high to low pressure.

3. 3.

   What does a stream function represent?

   • Velocity field
   • Pressure distribution
   • Streamlines

   Hint

   Remember it's visualizing the path of the fluid.

4. 4.

   True or False: Fluids flow from high pressure to low pressure.

   • True
   • False

   Hint

   Think at the basic principle of fluid movement.

5. 5.

   A fluid flows around a cylindrical object. If the pressure gradient on one side of the cylinder is 500 Pa/m and on the opposite side is 300 Pa/m, calculate the expected net force acting on the fluid around the cylinder.

   Hint

   Remember the basic principle: Force = Pressure x Area.

6. 6.

   In a complex machinery system, analyze how changes in stream functions would affect the overall energy efficiency of fluid movement.

   Hint

   Consider how energy conservation applies with changing velocities.