Mayureshwar Academy
Mayureshwar Academy
  • Видео 23
  • Просмотров 45 947
Momentum Equation: Shear Stress Terms in Cylindrical Coordinates
In this video final form of momentum equation is derived with shear stress terms in velocity gradient form. In texts these entities are given in final form. We have made an attempt to derive terms.
Constitutive Equations in Fluids: Cylindrical Coordinates:
ruclips.net/video/jQX67o-kB60/видео.html
The earlier videos links are given below:
Momentum Equation in Cylindrical Coordinates- Part 1
ruclips.net/video/n8CEwC4aF_c/видео.html
Momentum Equation in Cylindrical Coordinates-Part 2
ruclips.net/video/6wawt03CF-M/видео.html
Momentum Equation in Cylindrical Coordinates- Part 3
ruclips.net/video/yn433snfhNk/видео.html
Просмотров: 2 113

Видео

Constitutive Equations in Fluids: Cylindrical Coordinates
Просмотров 1 тыс.4 года назад
In this video shear stress terms are deduced in cylindrical coordinates. In texts these terms are not derived they are written. So this is our attempt for listeners to understand how the terms are obtained. The earlier videos links are given below: Momentum Equation in Cylindrical Coordinates- Part 1 ruclips.net/video/n8CEwC4aF_c/видео.html Momentum Equation in Cylindrical Coordinates-Part 2 ru...
GNU Octave Installation Procedure
Просмотров 704 года назад
This video is for beginners to show how to install the GNU Octave Scientific Programming Language. GNU Octave is software featuring a high-level programming language, primarily intended for numerical computations. Octave helps in solving linear and nonlinear problems numerically, mostly compatible with MATLAB. We are launching one course on Finite Element Analysis using Octave. For the program ...
Momentum Equation in Cylindrical Coordinates- Part 3
Просмотров 3,9 тыс.4 года назад
In this video surface force components along theta and z directions are resolved. This completes the modeling of terms involved in momentum equation in cylindrical coordinate system. To manage data we are reducing the image quality to 520 p. Sorry for inconvenience. The earlier video links are: Momentum Equation in Cylindrical Coordinates- Part 1: ruclips.net/video/n8CEwC4aF_c/видео.html Moment...
Momentum Equation in Cylindrical Coordinates-Part 2
Просмотров 6 тыс.4 года назад
This video is part 2 of derivation. In this video the momentum source terms that is surface and body forces are derived along r direction. The total derivation is split in parts to explain each step and also for time management. Final form of momentum equation is represented along r direction. Part-1 link is below: ruclips.net/video/n8CEwC4aF_c/видео.html In part 1 terms of convective and local...
Momentum Equation in Cylindrical Coordinates- Part 1
Просмотров 12 тыс.4 года назад
This video covers derivation of Momentum Equation in Cylindrical Coordinates. This part is not covered in most of texts as derivation only equations are mentioned. This is our effort to derive the equations in extensive form. For convection components terms are derived using operators' definitions from calculus in cylindrical systems. This is part one of equation which derives the local and con...
Momentum Equation in Differential Non-Conservative Form
Просмотров 8 тыс.4 года назад
In this video Conservation of Momentum in Differential Non-Conservative Form is derived. Derivation of non-conservative form followed by the expression of conservation of momentum in conservative form. In this video we have covered the Lagrangian approach of formulation, that is moving differential fluid element. The conservation law in vector form is already covered in following video. Conserv...
Conservation of Momentum- Differential Conservative Form
Просмотров 1 тыс.4 года назад
In this video Conservation of Momentum in Differential Conservative Form is derived. This approach is not covered in many texts. Because of convenience texts have followed derivation of non-conservative form first and then deduced the expression of conservation of momentum in conservative form. In this video we have covered the Euler's approach of formulation, that is fixed differential fluid e...
Conservation of Momentum- Integral to Differential Form
Просмотров 3724 года назад
In this video conservation of momentum from integral form to differential form is explained. This video also covers the indical notation form of shear stress terms. This video is part two of conservation of momentum, the integral form is already covered link given below.. Conservation of Momentum-Integral Form (Stokes' Theorem Included!) ruclips.net/video/uAb7eL5xnyg/видео.html Conservation Law...
Conservation of Momentum-Integral Form (Stokes' Theorem Included!)
Просмотров 4714 года назад
In this video conservation of momentum in integral form is explained. This video also covers the Stokes' theorem, Stokes' hypothesis, Stokes' postulate. This video is part one of conservation of momentum, this covers integral form and next part two covers transfer of integral to differential form conversion. Momentum being a vector quantity the conservation law in vector form is used. The state...
Conservation of Mass in Differential Spherical Form
Просмотров 1,3 тыс.4 года назад
This video explains how conservation of mass in differential spherical system can be derived. The integral form, differential Cartesian, and cylindrical is already derived in earlier videos, link give below. Differential forms are widely used in most of applications in fluid mechanics. Spherical from of equations are useful in conduits like valves which are spherical in shape. Conservation Law-...
Conservation of Mass in Differential Cylindrical Form
Просмотров 6 тыс.4 года назад
This video explains how conservation of mass in differential cylindrical system can be derived. The integral form, differential Cartesian is derived in earlier videos, link give below. Differential forms are widely used in most of applications in fluid mechanics. Cylindrical from of equations are useful in conduits like pipes which are cylindrical in shape. Conservation Law- CFD (Meaning and Fo...
Conservation of Mass in Differential Cartesian Form
Просмотров 3804 года назад
This video explains how conservation of mass in differential Cartesian form can be derived. The integral form is derived in video link give below. Differential forms are widely used in most of applications in fluid mechanics. Conservation Law- CFD (Meaning and Form): ruclips.net/video/6OfQxhY7LSM/видео.html Conservation of Mass: ruclips.net/video/QmU83Xa0qNQ/видео.html
Conservation of Mass
Просмотров 4084 года назад
This video is for representing the conservation of mass equation in integral form and deducing the expression in differential form. The first part of derivation is Eulerian integral representation, which is deduced to Eulerian differential form and then to Lagrangian differential form. The conservation law is explained in separate video the link of which is ruclips.net/video/6OfQxhY7LSM/видео.h...
Conservation Law- CFD (Meaning and Form)
Просмотров 1 тыс.4 года назад
In this video the concept of conservation is covered. The integral form of conservation is also covered. The integral form is quite widely used in engineering applications. By the use of Gauss divergence theorem how to convert integral form to differential form is also stated. The law of conservation of mass, momentum and energy both in integral and differential form will be covered separately....
B Spline Subdivisions Numerical Part 4 of 4
Просмотров 524 года назад
B Spline Subdivisions Numerical Part 4 of 4
B-Spline Subdivisions Numerical Part-3 of 4
Просмотров 384 года назад
B-Spline Subdivisions Numerical Part-3 of 4
B-Spline Subdivisions Numerical Part-2 of 4
Просмотров 664 года назад
B-Spline Subdivisions Numerical Part-2 of 4
B-Spline Subdivisions Numerical Part-1 of 4
Просмотров 2094 года назад
B-Spline Subdivisions Numerical Part-1 of 4
B-Spline Curve Subdivisions Explained
Просмотров 3444 года назад
B-Spline Curve Subdivisions Explained
Rational B-Spline Curves
Просмотров 8094 года назад
Rational B-Spline Curves
B-Spline Curve Subdivision
Просмотров 2964 года назад
B-Spline Curve Subdivision
Mayureshwar Academy
Просмотров 1484 года назад
Mayureshwar Academy

Комментарии

  • @Kingpin-y3o
    @Kingpin-y3o 3 месяца назад

    Shouldn't Atheta,in also be trapezoidal area ?

  • @SaurabhPonkshe1
    @SaurabhPonkshe1 7 месяцев назад

    Too complex 😢

  • @ashishthapayt
    @ashishthapayt Год назад

    Can you tell the name of software/application that you use to write ?

  • @briancimsizi6245
    @briancimsizi6245 2 года назад

    Amazing!!! I am really impressed by your explanation. I took plenty of notes, screenshots and everything you name it.

  • @mohkhalaf9986
    @mohkhalaf9986 2 года назад

    thank you so much ... could you done by the second way (D. fluid element )... please...

  • @urmishharibhakti6493
    @urmishharibhakti6493 2 года назад

    There won't be a tou xx in x direction equation. It will be zero.

  • @rameshkumarbhoraniya5696
    @rameshkumarbhoraniya5696 3 года назад

    I think in theta direction Taylors series is wrong

  • @arjunsikka2218
    @arjunsikka2218 3 года назад

    It’s very helpful! Kindly guide for doing this derivation in spherical coordinates also

  • @_hossein_bahari9707
    @_hossein_bahari9707 3 года назад

    best of best

  • @elmercarrillo9840
    @elmercarrillo9840 3 года назад

    Sir, I believe you have a sign error at 12:33. You rewrite the equation for F_s,r without the pressure terms that cancel but you change the sign for d(Tau_theta,r)/d_theta)(dr d_theta dz) from positive to negative

    • @mertekmen3375
      @mertekmen3375 2 года назад

      I agree, and I believe it should be positive according to the initial FBD.

  • @paperclips1306
    @paperclips1306 3 года назад

    are you a professor?

  • @Sedurnas
    @Sedurnas 3 года назад

    Amazing video, greetings from Germany!

  • @alisiahpush4953
    @alisiahpush4953 3 года назад

    In part 3, the figure is correct, but when he derives the shear in theta-r direction, the sign in front of theTau_ theta-r should be "-" not "+". (See time 4:28 min.). Ultimately, it results in adding two shear terms (see 8:14 min) to get (2/r)(Tau_r-theta), which is the correct answer. The final result is correct. What am I missing? Please show my mistake, if any.

  • @mohammadzaheer72
    @mohammadzaheer72 3 года назад

    Make more videos sir

  • @WahranRai
    @WahranRai 3 года назад

    You must remove your name from video : it is disturbing !

  • @luisfcastro4854
    @luisfcastro4854 4 года назад

    excellent, i have a question: what apps o software use to your slide? Best regards from Peru!

    • @swapnilwadkar7724
      @swapnilwadkar7724 3 года назад

      Thank you for your review. Notability is the app.

  • @roshanshanmughan7218
    @roshanshanmughan7218 4 года назад

    Its extremely helpful! Good work!

  • @InfinityLRDL
    @InfinityLRDL 4 года назад

    Hey can i hire you? Lol

  • @ramsatish
    @ramsatish 4 года назад

    Good work!

  • @franciscoxaviergonzalezrom4648
    @franciscoxaviergonzalezrom4648 4 года назад

    I loved your video! Which book do you suggest me to deep more in this topic? Thank you so much

    • @mayureshwaracademy513
      @mayureshwaracademy513 4 года назад

      That way all are good but conservative form is not derived in any text, most of them have derived in nonconservative form and then deduced to conservative form. As far as books are concerned: if you are beginner then J D Anderson of Versteeg - Malalasekera is what I recommend for my students.

    • @legobatman2490
      @legobatman2490 2 года назад

      @@mayureshwaracademy513 i noticed that too.. do you have any idea why does all the text usually explain the non-conservative form first then derived them to conservative form? I'm curious

  • @RafaKant777
    @RafaKant777 4 года назад

    Great explanation! Congrats. By the way, what kind of tablet are you using for your videos?

  • @luisfcastro4854
    @luisfcastro4854 4 года назад

    Excellent

  • @chrisharding
    @chrisharding 4 года назад

    You are brilliant!

  • @adityanatu
    @adityanatu 4 года назад

    We miss you sir!

  • @chrisharding
    @chrisharding 4 года назад

    Thanks! Great explanation.

    • @mayureshwaracademy513
      @mayureshwaracademy513 4 года назад

      Thank you so much Chris, you are true inspiration. Your comment means a lot to us.