T.E.A.M.S. Fluid Dynamics

Bernoulli’s Equation holds only for an ideal fluid. An ideal fluid must have each of the following characteristics except: 

• Streamline flow
• Compressible
• No viscosity
• No rotational motion

Part of a circular pipe has a radius of r₁. Later on in the circular pipe, the radius goes to r₂. What is the ratio of the first part to the second part of the pipe in terms of these two variables?

• (r₂)² / (r₁)²
• (r₁)² / (r₂)²
• 1
• r₁ / r₂

How much pressure in N/m² is a depth of 200 meters of water (do not include the air above the water)?

• 2,000,000
• 2,000
• 20,000
• 2

If a friction less pipe that has fluid flowing through an area of A₁ increases its area to A₂, what is the new pressure exerted by the fluid at any given point in the pipe if the velocity remains constant through the pipe change?

• Increases
• Decreases
• Impossible to determine
• No change

An airplane in level flight whose mass is 20,000 kg has a wing area of 60 m². About what is the pressure difference between the upper and lower surfaces of its wing? The height of the plane is 6 meters. Express your answer in N/m².

• 3,333
• 333
• 10,000
• 10

Bernoulli's Equation is based on the idea of conservation of energy. Which of the following forms of energy is not included in his equation?

• Kinetic Energy
• Gravitational Potential
• Flow Work
• All of these are included

The Reynold's Number quantifies the viscous movement of different liquids through pipes. If I increase the length of the pipe that the fluid is flowing through by a factor of 5, then what is the new number in terms of R₁

• 5R₁
• 10R₁
• R₁
• R₁ / 2

How does viscosity of a gas and liquid change as temperature increases?

• Liquid: Decreases
  Gas: Decreases
• Liquid: Decreases
  Gas: No change
• Liquid: No change
  Gas: Decreases
• Liquid: Decreases
  Gas: Increases

What is the difference between the pressure on the bottom of a pool and the pressure on the water surface?
p is density
g is gravitational acceleration
h is height relative to bottom of pool

• pg/h
• pgh
• pg+h
• pg-h

Water flows at a constant speed of 16 m/s through narrow section of the pipe. What is the speed of water in the section of the pipe where its radius is twice of the initial radius?

• 16 m/s
• 12 m/s
• 2 m/s
• 4 m/s