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Summary

  • Laminar flow is characterized by smooth flow of the fluid in layers that do not mix.
  • Turbulence is characterized by eddies and swirls that mix layers of fluid together.
  • Fluid viscosity η is due to friction within a fluid.
  • Flow is proportional to pressure difference and inversely proportional to resistance:
    Q = p 2 p 1 R .
  • The pressure drop caused by flow and resistance is given by p 2 p 1 = R Q .
  • The Reynolds number N R can reveal whether flow is laminar or turbulent. It is N R = 2 ρ v r η .
  • For N R below about 2000, flow is laminar. For N R above about 3000, flow is turbulent. For values of N R between 2000 and 3000, it may be either or both.

Key equations

Density of a sample at constant density ρ = m V
Pressure p = F A
Pressure at a depth h in a fluid of constant density p = p 0 + ρ g h
Change of pressure with height in a
constant-density fluid
d p d y = ρ g
Absolute pressure p abs = p g + p atm
Pascal’s principle F 1 A 1 = F 2 A 2
Volume flow rate Q = d V d t
Continuity equation (constant density) A 1 v 1 = A 2 v 2
Continuity equation (general form) ρ 1 A 1 v 1 = ρ 2 A 2 v 2
Bernoulli’s equation p + 1 2 ρ v 2 + ρ g y = constant
Viscosity η = F L v A
Poiseuille’s law for resistance R = 8 η l π r 4
Poiseuille’s law Q = ( p 2 p 1 ) π r 4 8 η l

Conceptual questions

Explain why the viscosity of a liquid decreases with temperature, that is, how might an increase in temperature reduce the effects of cohesive forces in a liquid? Also explain why the viscosity of a gas increases with temperature, that is, how does increased gas temperature create more collisions between atoms and molecules?

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When paddling a canoe upstream, it is wisest to travel as near to the shore as possible. When canoeing downstream, it is generally better to stay near the middle. Explain why.

The water in the center of the stream is moving faster than the water near the shore due to resistance between the water and the shore and between the layers of fluid. There is also probably more turbulence near the shore, which will also slow the water down. When paddling up stream, the water pushes against the canoe, so it is better to stay near the shore to minimize the force pushing against the canoe. When moving downstream, the water pushes the canoe, increasing its velocity, so it is better to stay in the middle of the stream to maximize this effect.

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Plumbing usually includes air-filled tubes near water faucets (see the following figure). Explain why they are needed and how they work.

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Doppler ultrasound can be used to measure the speed of blood in the body. If there is a partial constriction of an artery, where would you expect blood speed to be greatest: at or after the constriction? What are the two distinct causes of higher resistance in the constriction?

You would expect the speed to be slower after the obstruction. Resistance is increased due to the reduction in size of the opening, and turbulence will be created because of the obstruction, both of which will clause the fluid to slow down.

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Sink drains often have a device such as that shown below to help speed the flow of water. How does this work?

Figure is the schematic drawing of device that aligns the water into streams. Device has a circular shape and is separated into four segments.
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Problems

(a) Calculate the retarding force due to the viscosity of the air layer between a cart and a level air track given the following information: air temperature is 20 °C , the cart is moving at 0.400 m/s, its surface area is 2.50 × 10 −2 m 2 , and the thickness of the air layer is 6.00 × 10 −5 m . (b) What is the ratio of this force to the weight of the 0.300-kg cart?

a. 3.02 × 10 3 N ; b. 1.03 × 10 3

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
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John Reply
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Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
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David Reply
what is viscosity?
David
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emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
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Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
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Maurice Reply
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Maurice
answer
Magreth
progressive wave
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Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
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Reofrir Reply
Practice Key Terms 4

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Source:  OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5
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