8.2.2 Bernoulli's Equation Flashcards
Bernoulli’s Equation
- For incompressible fluids, the equation of continuity is derived from the mass conservation principle.
- Steady flows can be described using Newton’s second law, but it is a complicated procedure. A simpler approach is to apply conservation of energy.
- From the conservation of energy principle applied to steady flows, you can derive Bernoulli’s equation
A venturi meter is a device for measuring the flow of a fluid through a pipe. Which of the following statements about an ideal fluid is correct?
The fluid rises higher in A than in B.
Consider an ideal fluid. If the pressure increases, ____________.
without a change in height, the speed of the moving fluid decreases.
Which of the following statements related Bernoulli’s principle is incorrect?
The equation of continuity relates area to pressure in a pipe of varying diameter.
Water flows at a rate of 25 L/min through a horizontal pipe with a 7.0 cm diameter under a pressure of 6.0 Pa. At a point, calcium deposits reduce the cross-sectional area of the pipe to 30 cm62. What is the pressure at this point? Consider the water to be an ideal fluid and assume that 1 ml of water = 1 cm^3 water.
2.2 Pa
Which of the following statements regarding ideal fluid flow is incorrect?
Water escapes from a hole in a tank of area A that is a distance h from the top surface. The flow rate is equal to sqrt(2ghA)
Consider two airplane wing cross-sections for two airplanes identical in all other dimensions. The plane with wing B can take off with a minimum velocity ________________.
lower than that of an airplane with wing A.
Bernoulli’s equation ____________.
is derived from conservation of energy
Consider the apparatus shown in the diagram. Initially, the air is at rest. If the air is blown toward the left, the mercury will _____________.
rise in tube A.
True or false?
In fluid dynamics, the velocity varies inversely with the pressure.
true
