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Section 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 size 12{η} {} is due to friction within a fluid. Representative values are given in [link] . Viscosity has units of ( N/m 2 ) s size 12{ \( "N/m" rSup { size 8{2} } \) s} {} or Pa s size 12{"Pa" cdot s} {} .
  • Flow is proportional to pressure difference and inversely proportional to resistance:
    Q = P 2 P 1 R . size 12{Q= { {P rSub { size 8{2} } - P rSub { size 8{1} } } over {R} } } {}
  • For laminar flow in a tube, Poiseuille’s law for resistance states that
    R = 8 η l πr 4 . size 12{R= { {8ηl} over {πr rSup { size 8{4} } } } } {}
  • Poiseuille’s law for flow in a tube is
    Q = ( P 2 P 1 ) π r 4 8 η l . size 12{Q= { { \( P rSub { size 8{2} } - P rSub { size 8{1} } \) π`r rSup { size 8{4} } } over {8ηl} } } {}
  • The pressure drop caused by flow and resistance is given by
    P 2 P 1 = R Q . size 12{P rSub { size 8{2} } - P rSub { size 8{1} } =R`Q} {}

Conceptual questions

Explain why the viscosity of a liquid decreases with temperature—that is, how might increased 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 may be best to stay near the middle. Explain why.

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Why does flow decrease in your shower when someone flushes the toilet?

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Plumbing usually includes air-filled tubes near water faucets, as shown in [link] . Explain why they are needed and how they work.

The picture shows water gushing out of a water tap. The faucet in the tap is marked. A pipe connected vertically filled with air is shown at an opening on the water pipe before the tap.
The vertical tube near the water tap remains full of air and serves a useful purpose.
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(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 20º C size 12{"20" rSup { size 8{ circ } } C} {} , the cart is moving at 0.400 m/s, its surface area is 2 . 50 × 10 −2 m 2 size 12{2 "." "50" times "10" rSup { size 8{2} } `m rSup { size 8{2} } } {} , and the thickness of the air layer is 6.00 × 10 5 m size 12{6 "." "00" times "10" rSup { size 8{ - 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 size 12{3 "." "02" times "10" rSup { size 8{ - 3} } " N"} {}

(b) 1 . 03 × 10 3 size 12{1 "." "03" times "10" rSup { size 8{ - 3} } } {}

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What force is needed to pull one microscope slide over another at a speed of 1.00 cm/s, if there is a 0.500-mm-thick layer of 20º C size 12{"20" rSup { size 12{ circ } } C} {} water between them and the contact area is 8.00 cm 2 size 12{8 "." "00"`"cm" rSup { size 8{2} } } {} ?

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A glucose solution being administered with an IV has a flow rate of 4 . 00 cm 3 /min size 12{4 "." "00"`"cm" rSup { size 8{3} } "/min"} {} . What will the new flow rate be if the glucose is replaced by whole blood having the same density but a viscosity 2.50 times that of the glucose? All other factors remain constant.

1 . 60 cm 3 /min size 12{1 "." "60 cm" rSup { size 8{3} } "/min"} {}

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The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?

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A small artery has a length of 1 . 1 × 10 3 m size 12{1 "." 1 times "10" rSup { size 8{ - 3} } `m} {} and a radius of 2.5 × 10 5 m size 12{2 "." 5 times "10" rSup { size 8{ - 5} } `m} {} . If the pressure drop across the artery is 1.3 kPa, what is the flow rate through the artery? (Assume that the temperature is 37º C size 12{"37"°C} {} .)

8.7 × 10 11 m 3 /s size 12{8 "." 7 times "10" rSup { size 8{ - "11"} } `m rSup { size 8{3} } "/s"} {}

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Fluid originally flows through a tube at a rate of 100 cm 3 /s size 12{"100"`"cm" rSup { size 8{3} } "/s"} {} . To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid with 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube is used with a radius 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half the length, and the pressure difference is increased by a factor of 1.50.

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Questions & Answers

Calculate the final velocity attained, when a ball is given a velocity of 2.5m/s, acceleration of 0.67m/s² and reaches its point in 10s. Good luck!!!
Eklu Reply
express your height in Cm
Emmanuel Reply
my project is Sol gel process how to prepare this process pls tell me
the dimension of work and energy is ML2T2 find the unit of work and energy hence drive for work?
Emmanuel Reply
Two bodies P and Quarter each of mass 1000g. Moved in the same direction with speed of 10m/s and 20m/s respectively. Calculate the impulse of P and Q obeying newton's 3rd law of motion
Shimolla Reply
definition for wave?
Doc Reply
A disturbance that travel from one medium to another and without causing permanent change to its displacement
In physics, a wave is a disturbance that transfers energy through matter or space, with little or no associated mass transport (Mass transfer). ... There are two main types ofwaves: mechanical and electromagnetic. Mechanicalwaves propagate through a physical matter, whose substance is being deformed
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Note: LINEAR MOMENTUM Linear momentum is defined as the product of a system’s mass multiplied by its velocity: size 12{p=mv} {}
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Study of matter and energy
physics is the science of matter and energy and their interactions
physics is the technology behind air and matter
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31. Calculate the initial (from rest) acceleration of a proton in a 5.00×106 N/C electric field (such as created by a research Van de Graaff). Explicitly show how you follow the steps in the Problem-Solving Strategy for electrostatics.
Catina Reply
A tennis ball is projected at an angle and attains a range of 78. if the velocity is 30metres per second, calculate the angle
what friction
Wisdom Reply
question on friction
the rubbing of one object or surface against another.
momentum is the product of mass and it's velocity.
what are bioelements?
Friction is a force that exist between two objects in contact. e.g. friction between road and car tires.
With regards to a shielded cable, is there an induced current on the shield when the center conductor is carrying an AC Current? What is the formula?
John Reply
what is phenomena
remilekun Reply
no idea
its phenomenon, an observable fact.
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what is force
Chukwuemeka Reply
Force is the cause and momentum is its effect.
A force is a pull or a push on an object, causing an object to move or a moving object to stop.
Find the velocity that make one full oscillation in 10 seconds and also makes 1.7meters in the same time
Prince Reply
how did you solve it
t=10s a=1.7m v=? u=0 but v=u+at but u=0 v=at 1.7×10=17 v=17m/s that's how I solved it.
How is a=1.7m?
a is an acceleration
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its relating to time and oscillation made.
You mean A as an amplitude?
what is voltmeter
Jeremiah Reply
A voltmeter is a device use in measuring electric potential in a volt.
Find out the equation of a simple harmonic progressive wave that have 0.2m with a frequency of 550hertz.If the wave moves along a positive x axis with the speed of 330m/s
Joseph Reply
Practice Key Terms 5

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Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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