Poiseuille's Law - Pressure Difference, Volume Flow Rate, Fluid Power Physics Problems

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  • Опубліковано 27 лип 2024
  • This physics video tutorial provides a basic introduction into Poiseuille's law. It explains how to calculate the pressure difference required to maintain a constant volume flow rate using poiseuille's equation given the coefficient of viscosity, the cross-sectional radius and the length of the pipe. It also explains how to calculate the volume flow rate and the mass flow rate given the pressure difference. Finally, it explains how to calculate the power required to maintain a constant volume flow rate with a given difference in pressure. This video contains plenty of examples and practice problems.
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КОМЕНТАРІ • 96

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +5

    Next Video: ua-cam.com/video/WBk7mGb7TKw/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @user-op1xk2yz8d
    @user-op1xk2yz8d 2 роки тому +49

    I won't forget poiseuille's law again, since you have perfectly described the effect of cholesterol in our body using this law. Thank you so much!

    • @klam77
      @klam77 Рік тому

      OLIVE OIL.😃

  • @yourfuturedocburenbeiya
    @yourfuturedocburenbeiya 3 роки тому +4

    Excellent explanations as always! Thank you!!

  • @simranjoharle4220
    @simranjoharle4220 6 років тому +2

    Thank you so much......this really helped!

  • @user-lr7ey4qh6e
    @user-lr7ey4qh6e 4 роки тому +3

    Really helpful.Thanks very much

  • @dinarahal9165
    @dinarahal9165 3 роки тому +2

    thanks a lot , you explain perfectly

  • @christynovasio114
    @christynovasio114 3 місяці тому

    Love this, thank you for the fantastic explanation. Particularly the relationship of how vascular plaque increases cardiac workload

  • @athiesobada7773
    @athiesobada7773 2 роки тому +3

    Thank you for the video. No one know what is the 8 represent in the equation? Is it just a constant?

  • @matthewbrennan3127
    @matthewbrennan3127 4 роки тому +42

    Should be Poseidon's Law

  • @flowaagurl1396
    @flowaagurl1396 Рік тому +1

    youre seriously the best

  • @rjtech-1993
    @rjtech-1993 4 роки тому +1

    can we apply this to a pneumatic pressure lines

  • @sohansouri3928
    @sohansouri3928 6 років тому +10

    Best vedio ever 😍😘😍love u "O.Ctutor"#BEST

  • @demonslayer4607
    @demonslayer4607 4 роки тому +19

    Your voice is soothing

  • @user-hv6ef9ie1g
    @user-hv6ef9ie1g 2 місяці тому

    Very great explanation!

  • @user-km5oy5sl3d
    @user-km5oy5sl3d 3 роки тому +1

    Do you hqve other examples about both poisselle formula and stock formula

  • @bolekmellerowicz8441
    @bolekmellerowicz8441 3 роки тому +5

    Thanks for the video. Does this equation only apply for horizontal pipes? What happens if is vertical?

    • @8tchprod.446
      @8tchprod.446 2 роки тому +3

      fluids and gases preassure acts equally in all directions simultaniously

  • @sazkiaabuela791
    @sazkiaabuela791 7 місяців тому +1

    The best teacher🎉

  • @alokdas7443
    @alokdas7443 6 років тому +1

    What about the Discharge?

  • @ZULFERISYAHPUTRA
    @ZULFERISYAHPUTRA 3 роки тому +2

    Dear Sir............Example Problem : One hydraulic cylinder, the end is connected to the Threaded rod so that it can be rotated. Cylinders with a bore size of 18 mm, 10 mm rod and a stroke of 300 mm single acting in a condition that is filled with oil. If the cylinder is rotated 10 mm.
    a. How to calculate it
    b. What is the gauge pressure

  • @bemnetanley982
    @bemnetanley982 4 роки тому +1

    If there is f net there must be acclerate not constant velocity according Newton's 2 law?

  • @defacto3208
    @defacto3208 6 років тому +6

    0:54 how can the fluid flows at constant speed if there is no pressure difference? (except if the constant speed is 0 of course). The flow is intrinsically defined by a pressure difference no ?

    • @hajarmouqadem7671
      @hajarmouqadem7671 4 роки тому +2

      The fluid can flow at constant speed without a difference of pressure. However, the pressure difference causes the speed of the flow to change.

    • @VyvienneEaux
      @VyvienneEaux 4 роки тому +5

      He was referring to an "ideal fluid" in which friction does not factor. I assume that the fluid, once already flowing, should continue to flow unless acted upon by an outside force (in this case internal friction), as stated in Newton's first law. However, in the real world, a fluid requires a pressure differential in order to continue to flow (as you stated).

    • @dyn274
      @dyn274 4 роки тому +1

      You should know about Newton's first and second law. If we applied a difference pressure then velocity will change (accelerate or decelerate)

    • @princesspat5239
      @princesspat5239 3 роки тому +1

      In an ideal fluid, there is no viscocity, therefore no friction due to the layers of fluid so the velocity will remain constant. However, ideal fluids are theoritical, in real life there is no such thing. So friction is present and therefore will cause the speed of the fluid to decrease but since in real life there is pressure difference, the pressure difference causes the real fluid to remain at constant speed.

    • @princesspat5239
      @princesspat5239 3 роки тому

      well maybe not constant speed but remain to flow*

  • @cabalnest
    @cabalnest 4 роки тому +1

    can this equation be applied to air(concentration of air and oxigen ventilator)? what is the coefficient of viscosity of air (concentration of air and oxigen ventilator)?

    • @rogerroger7536
      @rogerroger7536 Рік тому

      Gasses viscosity is affected by temperature ,which is inversely proportional to temperature,whereas fluids is directly proportional

  • @TUYISHIMIRE
    @TUYISHIMIRE 2 роки тому

    Good job

  • @AbdoGAMing90
    @AbdoGAMing90 4 місяці тому

    Hello
    Where can I find more exercises on this topic?

  • @DanielDuhon
    @DanielDuhon 4 роки тому +2

    What about in a gas when p1=p2 but there’s a temperature difference?

    • @ishakklopic7281
      @ishakklopic7281 5 місяців тому

      he will never answer you he made a video on patreon making fun of you

  • @mmaandmedicine2563
    @mmaandmedicine2563 2 роки тому +2

    9:53 my calculator gives me a different answer I know your answer is correct but are there any tips anyone has for inputting everything into a TI-30 calculator has been a problem for me since college

    • @jujubee3933
      @jujubee3933 2 роки тому +1

      it helps to individually compute values with exponents, then writing them all down until you've computed all your values

  • @wizzyogwanz2750
    @wizzyogwanz2750 Рік тому +1

    Thank you bro, for the lecture. You're just the best 🤌

  • @grosstheman
    @grosstheman 4 роки тому

    How did you arrive at 716 I’m not receiving that value

  • @devpriysahu2223
    @devpriysahu2223 5 років тому +4

    1. When fluid is introduced at pressure p1 in pipe , flow through pipe causes pressure drop which is given by poiseullie’s equation
    P1- P2/R = Q
    Where R is resistance to flow factor = 8*x*L / (3.14 * r^4)
    X = coff of viscosity
    r = radius of pipe
    L= length of pipe
    So P2 = P1 - QR
    So more flow i will take more pressure will drop and I will get output flow at low pressure.
    Doubt 1 :-
    Physically it will look to me like following
    A) low flow (Q) high pressure (P2) condition - at outlet side velocity of water leaving would be higher

    B) High flow low pressure (P2) condition - at outlet side velocity of water leaving would be less
    Doubt 2
    Or similarly someone tell me 2 cases
    Case 1 :- P1 = 4 kg/cm2 and P2 = 2kg/cm2
    Case 2 :- P1 = 4Kg/cm2 and P2 = 1kg/cm2
    In which case flow through pipe is higher ?
    My answer would be case 2
    Is my answers in Doubt 1 and Doubt2 correct ???

    • @princesspat5239
      @princesspat5239 3 роки тому

      As presure difference increases, q increases so case 2 has higher q (flow rate)

  • @danahm6268
    @danahm6268 Рік тому

    guys does anyone know why he multiplied by A in minute 15:07? where did A come from?

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm 10 місяців тому +1

    This is a specific application of the navier stokes equation.

  • @jonathansanchez8802
    @jonathansanchez8802 4 роки тому +1

    Let’s get those likes up!

  • @ClearOutSamskaras
    @ClearOutSamskaras 2 роки тому +1

    What is the intuition or conceptual basis for the radius being put to a 4th power?

    • @Shreyas_Jaiswal
      @Shreyas_Jaiswal 2 роки тому

      Same doubt here.

    • @aldrinjamesadriano2005
      @aldrinjamesadriano2005 2 роки тому

      the provided formula is derived that is why it is raised by 4th power

    • @ClearOutSamskaras
      @ClearOutSamskaras 2 роки тому

      @@aldrinjamesadriano2005 I took a hard look at it when I realized no answer was going to come. I basically concluded the same thing as you, though my wording and sentiment would be different than yours.

  • @HanafiMdoka
    @HanafiMdoka 2 місяці тому

    Thanks sir

  • @potatoheaded1648
    @potatoheaded1648 2 роки тому +1

    My man's carried me through act exam and even in uni he still carries me

  • @hornedlobster
    @hornedlobster 2 роки тому +6

    I came here to learn how to pronounce Pouiseuille, so thank you.

  • @mnkgaming1958
    @mnkgaming1958 9 місяців тому

    Is this ok for bsc maths

  • @jaedamattis6606
    @jaedamattis6606 3 роки тому

    I actually love u

  • @keatonrix2512
    @keatonrix2512 Рік тому

    I don't know if I made a calculation error but the Reynolds number for the first example was over 400k so therefore Poiseuille's law wouldn't be applicable surely?

    • @kellyhighmore2982
      @kellyhighmore2982 11 місяців тому

      Can I ask How did you calculate the Reynolds number for this problem?

    • @keatonrix2512
      @keatonrix2512 11 місяців тому

      @@kellyhighmore2982 I did this ages ago so I don’t even remember 😅

    • @kellyhighmore2982
      @kellyhighmore2982 11 місяців тому

      Right thanks

  • @Freddy18w
    @Freddy18w 2 роки тому

    my ti 30x displays 715.7. I used its pi key & did exponent first

  • @MrWookie21
    @MrWookie21 3 роки тому +1

    Academical science makes knowledge and humility
    Applied science makes money and greed
    Ideological science makes war and prejudice

  • @Androbench
    @Androbench 2 роки тому

    I get 60liters per minute what is that in psi

  • @KY-dx7xd
    @KY-dx7xd Рік тому

    The answer 716.2 Pa for Quiz #1 is wrong. Because the flow is a turbulent flow with the reynolds number of 477,600, it cannot use the Poisuille's law. Instead, you have to use the the Darcy-Weisbach equation. Therefore, the pressure difference is 69,500 Pa from the Darcy-Weisbach equation. Could you give me your opinion about my argument?

    • @kellyhighmore2982
      @kellyhighmore2982 11 місяців тому

      Can I ask how you calculated the Reynolds number for this problem?

  • @annikasvensson5600
    @annikasvensson5600 Рік тому

    Isn’t flow constant?
    When you say flow rate, do you mean speed?
    Correct me if I’m wrong, great video😄😄

    • @shishkabobby
      @shishkabobby Рік тому

      The flow rate, which I will call Q, is not quite speed, which I will call v. I use v because I was trained in physic classes to use v as the magnitude of the velocity, which we also call speed. The speed is proportional to the flow rate. As he noted, Q = Av. Here, A is the cross sectional area of the tube, or pi r^2.

  • @sccm100
    @sccm100 3 роки тому +2

    6:00 I just ate three chocolate brownies. Thanks for reminding me

  • @MrCred_
    @MrCred_ 4 роки тому

    The last part was very hard to assimilate

  • @ziyaoli410
    @ziyaoli410 3 роки тому

    nice

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm 10 місяців тому

    Important for blood vessels!

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm 10 місяців тому

    Exercise and veggies increase the diameter of the blood vessels.

  • @musfikfahim1985
    @musfikfahim1985 5 років тому +2

    better examples

  • @beinkoraa9818
    @beinkoraa9818 2 роки тому +4

    I wish you to add an Arabic translation because we benefit from you a lot. Thank you

  • @maymiller3639
    @maymiller3639 4 роки тому

    Puah ziyays Law

  • @Freddy18w
    @Freddy18w 2 роки тому

    i put in the same numbers & get 23.3

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm 10 місяців тому

    The heart has to work a lot harder to maintain the volume flowrate.

  • @Freddy18w
    @Freddy18w 2 роки тому

    sorry I messed up .2 as .02

  • @yuhengwu6853
    @yuhengwu6853 Рік тому

    I love you

  • @ohdude8895
    @ohdude8895 3 роки тому

    Did he have a heart attack at the last part??

  • @nguyenhoanganh5740
    @nguyenhoanganh5740 3 роки тому

    Picture is covered by text

  • @spreadpositivity-mg4em
    @spreadpositivity-mg4em 9 місяців тому

    00:02 🙂🙂🙂🙂

  • @Animal-yb1rr
    @Animal-yb1rr 2 роки тому +1

    I am calculating my dog's blood vessel area

  • @FartingFlyingTurtle
    @FartingFlyingTurtle 4 роки тому

    My father came to check what am I watcing, and I stopped video at 20s second. wasn't cool

  • @araleyousuf6003
    @araleyousuf6003 2 роки тому

    What is Q please answer me?

    • @hoo1320
      @hoo1320 2 роки тому

      it's the flow rate, Arale & if you wonder what does a flow rate mean? then it's the amount of fluid that flows in a given time

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm 10 місяців тому +1

    Every day my comments that are worthless become my own education. Another Bible engineering connection.

  • @fordfiveohh
    @fordfiveohh 5 років тому +2

    The cholesterol that gets deposited in your arteries is like a scab... it has been sent there by your liver to repair your artery that was damaged from high blood viscosity.... The high blood viscosity can be caused by high hematocrit which can be caused by sleep apnea and smoking .... Both of which can cause stroke....
    Another mechanism is a lack of collagen in the diet and a lack of vitamin C.... The vitamin C keeps the integrity of your arteries good... This prevents them from being damaged...that then prevents your liver from producing cholesterol to Band-Aid them... Which then will reduce your blood pressure.... Which then will reduce your risk of stroke....

  • @Bamenglish5798
    @Bamenglish5798 Рік тому

    F

  • @michelledsouza4100
    @michelledsouza4100 4 роки тому +2

    Wait, what? Pawsiaes law? My sir pronounced it poesoolaes law and my whole class repeats after him.

    • @mithunrajpal
      @mithunrajpal 4 роки тому

      Your sir is correct. It’s not pawsiaes law.

  • @knowledgeb00st
    @knowledgeb00st 5 років тому +1

    Good but please don't imply other subjects' notions of which you don't know about. Cholesterol through diet is not directly linked to atherosclerosis and hearth disease. It is much more systematic than that

    • @BeethovenIsGod
      @BeethovenIsGod 4 роки тому +1

      Additionally, drinking warm drinks doesnt change temperature of your blood in any significant way. Of course you are adding heat to your body, however If hypothetically all the heat was added to your blood (which doesnt happen) and there was no loss due to evaporation, there would still not be any change in blood termperature. if you calculate Q=mct the amound of heat you would need to change blood volume one degree youd see that the heat of a hot coffee is not even close. Even if you could change your temperature by a few degrees, like getting a slight fever, it wouldnt change the viscosity in any meaningful way. However, i love your videos they are very helpful. Thanjs