Fluid Matters
Fluid Matters
  • Видео 137
  • Просмотров 1 415 391
Solved Problem: Hydrostatic Calculation of the Mass of Earth's Atmosphere
MEC516/BME516 Fluid Mechanics, Chapter 2: A solved problem of calculating the mass of all the air in the Earth's atmosphere using basic hydrostatic principles: Pressure is caused by the weight of the air above the Earth's surface.
This problem has been reposted without a detailed discussion of the theory because many students are only seeking solved problems. This example was recently a midterm exam problem (for one of the other instructors) in this course.
All the videos in this course and hard copies (pdf) can be downloaded at: www.drdavidnaylor.net
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
#fluidmechanics
Просмотров: 830

Видео

Solved Problem: Viscous Shear Stress using Newton's Law of Viscosity
Просмотров 1,8 тыс.8 месяцев назад
MEC516/BME516 Fluid Mechanics Chapter 1: This problem involves calculating the viscous shear stress in a thin oil layer using Newton's Law of Viscosity. This is a solved problem from a recent midterm exam. In Chapter 4, it is shown that velocity varies linearly in a thin layer of fluid with a moving boundary. This is called Couette flow: ruclips.net/video/ml2oiDORJmM/видео.html All the videos i...
The Reynolds Number and the Reynolds Apparatus
Просмотров 1,4 тыс.9 месяцев назад
MEC516/BME516 Fluid Mechanics: Osbourne Reynolds' famous experiment to characterize laminar to turbulent flow transition in a pipe is discussed. The Reynolds Apparatus is used to visualize laminar and turbulent flow in a round smooth pipe. The effect of the flow regime on pressure loss and pumping power is also discussed. This video is a supplement to MEC516/BME516 Lab 2. All the videos in this...
Watch This First! (Online Course Administration, Fall 2023)
Просмотров 63511 месяцев назад
An overview of the online course administration for Dr. Naylor's sections of Fluid Mechanics I for Fall 2023. I recommend that you start my course by watching this video. All the videos in this course and a copy (pdf) of the presentations can be downloaded at the course website: www.drdavidnaylor.net Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 20...
Lead climbing a 5.11+ at Joe Rockheads, Toronto
Просмотров 127Год назад
Joe Rockheads, Toronto on June 19, 2023. It's an easy 5.11 after the second clip, but a new level on lead for me.
Quiz on the Saturation Temperature of Water
Просмотров 668Год назад
MEC516/BME516 Fluid Mechanics Chapter 1: This is a Chapter 1 Quiz question about the boiling point of water. The key point is that the saturation temperature of water is a function of the absolute pressure. So, as the local atmospheric pressure changes (from day to day due to weather systems) the boiling temperature of water changes. All the videos in this course and a copy (pdf) of this presen...
Solved Exam Problem: Hydrostatic Forces on a Curved Gate
Просмотров 6 тыс.Год назад
MEC516/BME516 Fluid Mechanics: A solved exam problem of hydrostatic forces on a curved gate from a past midterm exam. This problem has been reposted without a detailed discussion of the theory because many students are only seeking solved problems. All the videos in this course and a copy (pdf) of this presentation can be downloaded at: www.drdavidnaylor.net Course Textbook: F.M. White and H. X...
Solved Buoyancy Problem: True Mass of Low Density Materials
Просмотров 1,5 тыс.Год назад
MEC516/BME516 Fluid Mechanics, Chapter 2: A short problem that demonstrates how to correct for buoyancy effects when weighing light materials with a weigh scale. This was a past Chapter 2 quiz problem. All the videos in this course and a copy (pdf) of this presentation can be downloaded at: www.drdavidnaylor.net Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, ...
Solved Problem: Linear Momentum Quiz
Просмотров 7 тыс.Год назад
MEC516/BME516 Fluid Mechanics, Chapter 3: A short quiz problem that demonstrates how to obtain an expression for the forces in a pipe elbow using the principle of conservation of linear momentum. A more detailed discussion of the general solution method (and the reason why gauge pressures must be used) is discussed in this video: ruclips.net/video/pk3nFNQRmFU/видео.html All the videos in this c...
Does Average Fluid Velocity Increase Along an Inclined Pipe?
Просмотров 3,6 тыс.Год назад
MEC516/BME516 Fluid Mechanics, Chapter 3: This short problem concerns the variation in the average velocity for incompressible flow in a pipe. Does the average flow velocity increase in an inclined pipe? The answer is NO! This problem is from a past Chapter 3 quiz. It demonstrates (and hopefully corrects) a very common misconception. This is an important concept for solving pipe flow problems i...
Navier-Stokes Final Exam Question (Liquid Film)
Просмотров 23 тыс.Год назад
MEC516/BME516 Fluid Mechanics I: A Fluid Mechanics Final Exam question on solving the Navier-Stokes equations (Chapter 4). The velocity and pressure fields are calculated for a gravity-driven liquid film on an inclined plate. This unique aspect of this problem is the no shear stress boundary condition at the top of the liquid film. All the videos in this course and a copy (pdf) of this presenta...
Fluid Mechanics: Solved Manometer Problem
Просмотров 6 тыс.Год назад
MEC516/BME516 Fluid Mechanics: A solved manometer problem from a previous Fluid Mechanics midterm exam. The problem involves calculating a pressure difference using fluid levels in a manometer. The pressure difference in the air-filled section is neglected because the density of gases is two orders of magnitude less than liquids. All the videos in this course and a copy (pdf) of this solution c...
Solved Problem: Dimensional Analysis of the Drag Force on a Plate
Просмотров 1,8 тыс.Год назад
Dimensional analysis of the drag force on a bluff body using the Buckingham Pi Theorem and the Method of Repeating Variables. Sorry about the sibilance (s-sound). I had a microphone issue. A copy (pdf) of this solution can be downloaded at www.drdavidnaylor.net Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021. #archimedesprinciple #fluidmechanics...
Demonstration: Buoyancy Stability of Floating Objects
Просмотров 5 тыс.Год назад
MEC516/BME516 Fluid Mechanics: A physical demonstration of the stability of floating objects. The model boat is stable when the center of mass is below the metacenter. When the center of mass is above the metacenter the model boat is unstable and overturns. The demonstration video has been adapted from the supplemental video materials of the textbook Young, D.F., Munson, B.R., Okiishi, T.H., an...
Solved Buoyancy Problem: Floating Objects
Просмотров 4,3 тыс.Год назад
Solved Buoyancy Problem: Floating Objects
Solved Example: Hydrostatic Forces on a Vertical Gate
Просмотров 52 тыс.Год назад
Solved Example: Hydrostatic Forces on a Vertical Gate
The Thermodynamics (and Math) of Compression Ignition
Просмотров 4,2 тыс.Год назад
The Thermodynamics (and Math) of Compression Ignition
Solved Exam Problem: Hydrostatic Forces on a Curved Gate
Просмотров 42 тыс.Год назад
Solved Exam Problem: Hydrostatic Forces on a Curved Gate
The Reynolds Experiment: Visualization of Flow Transition in a Pipe
Просмотров 6 тыс.Год назад
The Reynolds Experiment: Visualization of Flow Transition in a Pipe
Demonstration: No Slip Condition in Fluid Mechanics
Просмотров 3,5 тыс.Год назад
Demonstration: No Slip Condition in Fluid Mechanics
Joe Rockheads (5.10a), Toronto, June 27, 2022
Просмотров 8742 года назад
Joe Rockheads (5.10a), Toronto, June 27, 2022
The Shark Sanctuary of Palau
Просмотров 4262 года назад
The Shark Sanctuary of Palau
Jellyfish Lake, Palau
Просмотров 2212 года назад
Jellyfish Lake, Palau
Dimensional Analysis in Fluid Mechanics: Buckingham Pi Theorem
Просмотров 8 тыс.2 года назад
Dimensional Analysis in Fluid Mechanics: Buckingham Pi Theorem
Visualization of Opposing Mixed Convection from a Vertical Plate
Просмотров 4972 года назад
Visualization of Opposing Mixed Convection from a Vertical Plate
Derivation of the Continuity Equation for Fluid Flow
Просмотров 32 тыс.3 года назад
Derivation of the Continuity Equation for Fluid Flow
Fluid Mechanics Exam Problem: Hydrostatic Forces on a Plane Gate
Просмотров 17 тыс.3 года назад
Fluid Mechanics Exam Problem: Hydrostatic Forces on a Plane Gate
Introduction to Fluid Mechanics: Surface Tension
Просмотров 12 тыс.3 года назад
Introduction to Fluid Mechanics: Surface Tension
Odd Behavior of a Super-hydrophobic Razor Blade
Просмотров 3623 года назад
Odd Behavior of a Super-hydrophobic Razor Blade
Introduction to Fluid Mechanics: Vapor Pressure and Cavitation
Просмотров 11 тыс.3 года назад
Introduction to Fluid Mechanics: Vapor Pressure and Cavitation

Комментарии

  • @ryanduthie1311
    @ryanduthie1311 2 дня назад

    how is there a moment because of Fbc? not sure how that causes rotation

    • @FluidMatters
      @FluidMatters 2 дня назад

      I suggest doing a review of basic statics. Fbc has a moment arm that will cause the gate to rotate CCW. It will act to open the gate.

  • @joaogarcia9855
    @joaogarcia9855 4 дня назад

    I was wondering if, rather than taking the control volume such that V2 is perpendicular to the normal area vector, we took a rectangular box with no θ inclined edge. We would have a dot product of V2 . A = cosθ and hence a Rx = ρV²A (cos²θ -1). Which would mean the reaction force is dependent on the chosen control surface. What am I missing? :( Thanks for the video, it really helps me out!

    • @FluidMatters
      @FluidMatters 2 дня назад

      The force is independent of the control volume you select. You are missing that the mass flow rate must to be calculated using the velocity normal to the control surface. See the explanation of mass flow rate here: ruclips.net/video/iffMXHFueSo/видео.htmlsi=RAaBqj6FX4djHgfM&t=321

    • @joaogarcia9855
      @joaogarcia9855 2 дня назад

      ​@@FluidMatters Uhm, it makes sense then. Thanks a lot for the response!

    • @FluidMatters
      @FluidMatters День назад

      Btw, that we an insightful question. I bet this will help other students with the same issue.

  • @user-mf7vr3sj4u
    @user-mf7vr3sj4u 4 дня назад

    Can you explain why (at 1:05) the pressure forces act inwards as opposed to in the direction of flow / where in Chapter 2 specifically should I look to find out why?

    • @FluidMatters
      @FluidMatters День назад

      p. 61 of the White text: "Pressure creates a force due to the molecules bombarding the surface, and it is normal to the surface." Fluid molecules bouncing off a surface push on the surface. So, the pressure force acts inward and normal to the surface. Also, see the proof of that pressure is a point property in Chapter 2, Fig. 2.1. Equilibrium on a small wedge of fluid. Think also about your experience. A balloon of air submerged in deep in water will get compressed by the water pressure, because the static pressure acts inward. If pressure acted outward, it would expand, which it certainly does not. I hope that helps.

    • @arundhati.parikh
      @arundhati.parikh День назад

      @@FluidMattersthank you! That makes complete sense for the inlet… however, at the outlet, aren’t the molecules moving away from the surface (in the direction of flow) as opposed to pushing against the surface? maybe I am missing something?

    • @FluidMatters
      @FluidMatters День назад

      @@arundhati.parikh The bulk motion of fluid is not the root cause of static pressure. Maybe this will help: Do you expect the outflow side of elbow to be held onto the pipe at the flange by suction? That's what you are thinking, which I hope you can sense is clearly not what happens.

  • @Tom-ts5qd
    @Tom-ts5qd 5 дней назад

    Does this mean the Bernoulli Equation / Venturi effect can be applied to non ideal fluids as well? (approximately of course)

    • @FluidMatters
      @FluidMatters 5 дней назад

      Yes. In real (viscous) fluids there are some energy losses. But "Bernoulli" is often still a good approximation for air and water, which both have low viscosity.

  • @francisfrancis4219
    @francisfrancis4219 6 дней назад

    A submerged ball when released does not “rocket out of the water”. It rockets up when in the water, but only to reach the surface.

    • @FluidMatters
      @FluidMatters День назад

      www.tiktok.com/@thelahayfamily/video/6846123958639578374?lang=en

  • @jacobhardy2313
    @jacobhardy2313 13 дней назад

    Great video and explanation

    • @FluidMatters
      @FluidMatters 13 дней назад

      Thanks. Glad to hear it was helpful.

  • @URKAEELIZACOLINPOWELL-ci1hw
    @URKAEELIZACOLINPOWELL-ci1hw 20 дней назад

    Is it the no slip condition that causes the velocity gradient, professor or the internal shear stresses?

    • @FluidMatters
      @FluidMatters 18 дней назад

      I'm not sure which part of this video you are specifically referring to. Here is a general answer. The fluid "sticks" to the surface i.e., the no slip condition. If the fluid above a stationary surface is moving (because of a pump or fan, for example), the fluid's viscosity will decrease (to zero) as you approach the surface. It's the internal viscous shear forces in the fluid, which opposes fluid motion, that slows the fluid in the near wall region. So, to answer your question, it is both effects. I hope that helps.

    • @URKAEELIZACOLINPOWELL-ci1hw
      @URKAEELIZACOLINPOWELL-ci1hw 18 дней назад

      So, hypothetically speaking, even if there doesn't exist 'no-slip' at the bottom surface ( but the fluid sticks to the top surface) there would be a velocity gradient in the fluid, solely because of the internal friction between them. Am I right, professor?

    • @URKAEELIZACOLINPOWELL-ci1hw
      @URKAEELIZACOLINPOWELL-ci1hw 18 дней назад

      I meant internal resistance between the fluid layers, alone, sir.

  • @user-pd5bn6qf5k
    @user-pd5bn6qf5k 20 дней назад

    when you have losses, you add them to get to EGL?

    • @FluidMatters
      @FluidMatters 20 дней назад

      Yes. The EGL remains constant only in the ideal friction case. But in the real world you always have energy losses in the flow direction. So, the EGL decreases because of energy losses (due to turbulence, wall viscous friction & pressure losses across a valve.) I hope that helps.

  • @ballerslounge2855
    @ballerslounge2855 21 день назад

    Thanks for this lecture Dr Neylor i have a question though at 11:42 is the height difference not supposed to be (Z3 - Z2) or it doesnt matter

    • @FluidMatters
      @FluidMatters 18 дней назад

      Note that z is measured upward, i.e. Z2>Z3. You need that term to be positive, since you are moving downward into zone of higher pressure. So it must be Z2-Z3 to get a positive number. You might find it easier to work in terms of DeltaZ, where DeltaZ is always a positive value.

  • @john-hf9dt
    @john-hf9dt 23 дня назад

    Thank you sir.

  • @antoniamillaraylizanaraban9380
    @antoniamillaraylizanaraban9380 25 дней назад

    THIS VIDEO IS SO GOOD

  • @zhenccc
    @zhenccc 27 дней назад

    All your videos helped a lot. Thank you so much!

  • @javierpicazo2107
    @javierpicazo2107 Месяц назад

    I like this series

  • @Kawsusstory
    @Kawsusstory Месяц назад

    Is that a plaquette on a hinge?

  • @Mehdiranjb
    @Mehdiranjb Месяц назад

    🌹🌹

  • @TerminallyOnline92
    @TerminallyOnline92 Месяц назад

    At 13:29, shouldn’t it be C1 = -1/(2*mu*b)*dp/dx - U/b and not C1 = -b/(2*mu)*dp/dx - U/b ? Doing the algebra, I feel the b should be in the bottom of the fraction and not the top. Can someone explain please?

    • @FluidMatters
      @FluidMatters Месяц назад

      Before simplification, we have b^2 in the numerator (from y^2 in the original expression applied at b). So, when you divide by b to isolate C1, you end up with b in the numerator. I hope that helps.

    • @TerminallyOnline92
      @TerminallyOnline92 Месяц назад

      @@FluidMattersThanks! I didn’t see that

  • @suleyman7478
    @suleyman7478 Месяц назад

    great stuff

  • @RGCAD
    @RGCAD Месяц назад

    Great stuff, for the last problem i see we have our origin placed midway between the plates, I would therefore expect the y at the bottom to be y = -h

    • @FluidMatters
      @FluidMatters Месяц назад

      Agree. The axis in the graphic (that I stole from the book publisher) is in the wrong place. But I think it's totally clear in the presentation that y=0 is at the bottom. At some point, a long time ago, I fixed it in the pdf download.

  • @baaa-ej7xj
    @baaa-ej7xj Месяц назад

    He saved my final exam😭😭😭

  • @comment8767
    @comment8767 Месяц назад

    Point of Confusion for me - The cube as 6 faces with viscous stresses on each face. Therefore, there are 6 x 3 = 18 stresses on the differential element. Are we somehow saying that the stresses on opposite faces are the same, so that it is really only one? Then, all stresses are referred to a central point? What happens to the extra nine stresses?

    • @comment8767
      @comment8767 Месяц назад

      OK, so you are not claiming that the nine stresses cover the entire differential volume. You are simply positing the stresses on three faces, and then using taylor series to get the stresses on the opposite face. The posited stress plus the Taylor-derived stress provide the stress on the entire cube.

  • @mohammadfallahzade2110
    @mohammadfallahzade2110 Месяц назад

    best instructor

    • @FluidMatters
      @FluidMatters Месяц назад

      Thanks for the kind words. Best of luck with your studies.

  • @mohammadfallahzade2110
    @mohammadfallahzade2110 Месяц назад

    thank you you are a great teacher

  • @jamboreejackson8309
    @jamboreejackson8309 Месяц назад

    Hi professor, many thanks for the excellent lectures. I tried the derivation of the equation in cylindrical co-ordinates and I couldn't quite get there so ended up looking at another reference. Should the dA in the outlet term you show at 14:30 actually be (r+dr)dΘdz (rather than rdΘdz) to account for the slightly larger area at the outer radius? This is what the derivation I saw suggested.

    • @FluidMatters
      @FluidMatters Месяц назад

      Good point. Yes, I think you are correct.

  • @mohammadfallahzade2110
    @mohammadfallahzade2110 Месяц назад

    thank you for your great explanation

  • @spiral-dz1eq
    @spiral-dz1eq Месяц назад

    from 3:40 on, why didn't we use the fluid for W and the wood for Fb?

    • @FluidMatters
      @FluidMatters Месяц назад

      As shown in the free body diagram, W is the weight of the WOOD and Fb is the buoyancy force. Thus, Fb is the weight of the WATER displaced by the wood (Archimedes principle). That is why I used the specific gravity of wood for W, and the specific gravity of water for Fb. I hope that helps.

    • @spiral-dz1eq
      @spiral-dz1eq Месяц назад

      @@FluidMatters Thank you!

  • @andrewmerafuentes6683
    @andrewmerafuentes6683 2 месяца назад

    I came just to check for a concept, then proceed to finish the whole series.

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Glad to be able to help. Best of luck with your studies.

  • @abdullahashraf8249
    @abdullahashraf8249 2 месяца назад

    what da dog doing

  • @rashedshahariar2748
    @rashedshahariar2748 2 месяца назад

    Where is the vertical force acting on the top of the free body in no 2 prblm 7:55

    • @FluidMatters
      @FluidMatters 2 месяца назад

      If I'm understanding your question: There is no vertical force on "the top of the free body". The vertical force acts upward and equals the weight of the water, which acts downward.

    • @rashedshahariar2748
      @rashedshahariar2748 2 месяца назад

      @@FluidMatters if we considered only the upper left quarter of the circle instead of the semi circle then there would have been vertical force acting on the upper part of the quarter circle then why not for the semi circle?

    • @rashedshahariar2748
      @rashedshahariar2748 2 месяца назад

      At 6:57 inclined forces at the upper portion should have vertical components ..isn't it? Can u pls clarify?

  • @gani82
    @gani82 2 месяца назад

    Continue the videos sir ..... following your videos ... ..waiting to learn from you sir.....

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Glad to hear you find them helpful. Good luck with your studies.

  • @colinwarn4606
    @colinwarn4606 2 месяца назад

    Just wanted to extend my thanks for putting together a great RUclips series on Fluid Mechanics. Been a couple years since I've taken the class, the series has been a great refresher on the theory, in addition to tying it to some very informative experiments that visually cement the concepts 🙂

  • @anthonylorenzo1126
    @anthonylorenzo1126 2 месяца назад

    Why isn't d^2u/dy^2 not 0?

    • @FluidMatters
      @FluidMatters 2 месяца назад

      d2u/dy2=0 means that the velocity profile must be linear i.e. no curvature. There is no basis for this requirement, as you can see from the solution.

  • @jondory8134
    @jondory8134 2 месяца назад

    Nice job... Related to the FBD, do you need to include a Moment, M, along with the Fx & Fy? (assume a direction...?)

    • @FluidMatters
      @FluidMatters 2 месяца назад

      This analysis is based on conservation of LINEAR momentum. So the are the forces needed to redirect the jet. No moment.

  • @KT-dv8qy
    @KT-dv8qy 2 месяца назад

    THANKS A LOT SIR!!!!

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Glad to hear it was helpful. Best of luck with your studies.

  • @renatosureal
    @renatosureal 2 месяца назад

    To estimate the impact force of a 5-meter fall from a 90 kg person, we can use the work-energy principle which states that the work done by the impact force is equal to the change in kinetic energy. When a person falls from a height, they gain kinetic energy, which is then absorbed by the impact. The kinetic energy (KE) just before impact is given by: $$ KE = \frac{1}{2} m v^2 $$ Where: - \( m \) is the mass (90 kg in this case), - \( v \) is the velocity at impact. The velocity at impact can be found using the equation for velocity of an object in free fall: $$ v = \sqrt{2gh} $$ Where: - \( g \) is the acceleration due to gravity (approximately \( 9.81 \, m/s^2 \)), - \( h \) is the height of the fall (5 meters). Substituting the values, we get: $$ v = \sqrt{2 \times 9.81 \, m/s^2 \times 5 \, m} $$ $$ v = \sqrt{98.1 \, m^2/s^2} $$ $$ v \approx 9.9 \, m/s $$ Now we can calculate the kinetic energy: $$ KE = \frac{1}{2} \times 90 \, kg \times (9.9 \, m/s)^2 $$ $$ KE = \frac{1}{2} \times 90 \, kg \times 98.01 \, m^2/s^2 $$ $$ KE = 4410.45 \, J $$ The impact force (F) can then be estimated if we know the distance over which the impact force acts (d), which is the distance over which the person's momentum is brought to zero. This distance will depend on many factors, including how the person lands and the nature of the surface they land on. Assuming a certain stopping distance, we can use the formula: $$ F = \frac{KE}{d} $$ For example, if the person comes to a stop over a distance of 0.5 meters, the impact force would be: $$ F = \frac{4410.45 \, J}{0.5 \, m} $$ $$ F = 8820.9 \, N $$ So the impact force would be approximately **8820.9 Newtons**. Please note that this is a simplified calculation and the actual impact force can vary. For accurate results, especially for safety considerations or engineering applications, a detailed analysis considering all relevant factors would be necessary. Source: Conversation with Bing, 4/30/2024 (1) Impact Force Calculator - Calculate the impact force in a collision. www.gigacalculator.com/calculators/impact-force-calculator.php. (2) Impact Force - The Engineering ToolBox. www.engineeringtoolbox.com/impact-force-d_1780.html. (3) Free Fall Force Calculator Online. calculatorshub.net/physics-calculators/free-fall-force-calculator/. (4) Impact Force Calculator | Calculate Impact Force in Collision .... physicscalc.com/physics/impact-force-calculator/. (5) Impact Energy Calculator | Impact Force. www.omnicalculator.com/physics/impact-energy.

  • @ethanbaldwin1181
    @ethanbaldwin1181 2 месяца назад

    Cool video!

  • @majroi
    @majroi 2 месяца назад

    Greetings from Turkey, this material helped me a lot. Thanks professor.

  • @ericjung7621
    @ericjung7621 2 месяца назад

    hi professor, why are there no videos for content past chapter 5?

    • @FluidMatters
      @FluidMatters 2 месяца назад

      That's where the intro fluid mechanics course ends at my university. I don't teach "Fluids II", at least for now.

  • @Frankchouzpy
    @Frankchouzpy 2 месяца назад

    Impressive profound experiment and explanation. Additionally, I encountered numerous novel ideas in the comments section here.

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Thanks for the kind words. A colleague and I ended up writing a paper on this effect.

  • @Frankchouzpy
    @Frankchouzpy 2 месяца назад

    These interesting videos make your tutorial more and more attractive. These formulas jump out of the screen and appear in our lives. Thank you for your amazing idea!

  • @Frankchouzpy
    @Frankchouzpy 2 месяца назад

    Nice! Chapter 2 completed!!Next is the two ptional videos haha.

  • @Frankchouzpy
    @Frankchouzpy 2 месяца назад

    I can’t stop learning, so take a break, click the like button, and then continue!

  • @mfn1311
    @mfn1311 2 месяца назад

    why do I have a course called wave physics and fluid mechanics? I think both are hard enough on their own 🥲

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Must be a different Dr. Naylor for the wave physics....

  • @salmankhanmohmand9174
    @salmankhanmohmand9174 2 месяца назад

    Sir where can i get its theory part...

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Here's the theory lecture for hydrostatic forces on curved surfaces: ruclips.net/video/LdbEpRXUpOQ/видео.htmlsi=DoySt3zv_nYTipHn You can find all the lectures as www.drdavidnaylor.net

  • @AtroXAir
    @AtroXAir 2 месяца назад

    Great explanation! thank you very much

  • @Frankchouzpy
    @Frankchouzpy 2 месяца назад

    Thanks for your great work on this playlist!!! I have learnt much from it. But there seems to be an integrate error at 21:45, the relationship of the p and p0 should include some exp. function or Ln function after the integration. Please check it. You have done such an excellent tutorial which is so useful for a student who is interested in the fluid mechanics! Thank you agian from China.

    • @FluidMatters
      @FluidMatters 2 месяца назад

      The integration is correct. Notice there "z" in the dominator on the left side too (the adiabatic lapse rate). So, you get "ln" function on both sides. So, you end up taking the anti-log of both sides, after integration. The final results is a well-know equation -- you can just google Standard Atmosphere Equation, and you will find it is correct.

    • @Frankchouzpy
      @Frankchouzpy 2 месяца назад

      @@FluidMatters Oh, I made a mistake. I didn't realize that the integrand on the left is the reciprocal of p instead of 1. I apologize for rushing my question, and thank you very much for your answer. Your tutorial is excellent, just like you. Bravo!

  • @batbayarbatsukh6393
    @batbayarbatsukh6393 2 месяца назад

    Greetings from Mongolia. Thanks for the clear explanation. Тhis helped me a lot I wish you good health.

    • @FluidMatters
      @FluidMatters 2 месяца назад

      Mongolia! Hope to visit one day. Glad to hear the video was helpful.

  • @alisoltani7581
    @alisoltani7581 2 месяца назад

    Hello , what about the unsteady case? how can we sole this problem for u(t,y)?

    • @FluidMatters
      @FluidMatters 2 месяца назад

      There are exact solutions for some simple unsteady problems, like an impulsively accelerated plane wall. This is beyond the undergrad level. See the classic book "Boundary-Layer Theory" by Schlichting, for example.

    • @alisoltani7581
      @alisoltani7581 2 месяца назад

      @@FluidMatters Ok,thank you very much🙏🙏

  • @Frankchouzpy
    @Frankchouzpy 3 месяца назад

    Nice work thx. from China!😘

  • @schwarzehayvan8188
    @schwarzehayvan8188 3 месяца назад

    Great Videos and Work. Thank you from Germany

  • @masoudadli108
    @masoudadli108 3 месяца назад

    the best of the best,, you make life easy..thanks from Sudan Africa

    • @FluidMatters
      @FluidMatters 3 месяца назад

      Thanks for the kind words. Glad to hear the videos are helpful.