First, thank you very much for making the video. They are great! Helped a lot on my fluid mechanics study. I got some confusion while watching 6:10 to 6:57. Then I checked some other videos and materials. And finally got understood. I though it might be better to illustrate with a plot, a small segment of the streamline, a velocity segment which is tangential to the streamline, decompose the velocity to Vx and Vy, etc. Still, I think this play list is great! I really like it.
Hello! I can see where a graphical representation of the stream line would help in understanding what dr means. Thank you so much for the tip! And I am glad these are helping you! :)
Your procedure is to use the infinitesimal arc length definition of a streamline which is a special curve (we want to find its representation) together with the given velocity (vector) field. Using the cross-product and integrating is then like saying that we want to connect velocity vectors in a parallel fashion (continuing their direction). We then get one of many streamlines by using the initial position. IS this correct?
What about velocity vector function, which will be like v(x(t), y(t), z(t), t). I don't know, how this vector function could look like. I thought it could look like this : v = i(x+2t) + j(y+t) + k(z+5t), where I, j, k are unit vectors. I see, that velocity is function of time, but not that coordinates are functions of time. So, can you give an example of this kind of function, please? Thanks
Im pretty sure the idea is like when in calculus you do lagrange equations of a function f = a function g times lambda Here you also have an equation system with lambda as a parameter
![Streamline Equation: Example 1 [Fluid Mechanics #6]](http://i.ytimg.com/vi/QiBL7b00Ezw/mqdefault.jpg)
![Streamline Equation: Example 1 [Fluid Mechanics #6]](/img/tr.png)
![Introduction to Velocity Fields [Fluid Mechanics #1]](/img/n.gif)
these are the videos I needed. I don't know what the hell my teacher is saying half the time
First, thank you very much for making the video. They are great! Helped a lot on my fluid mechanics study.
I got some confusion while watching 6:10 to 6:57. Then I checked some other videos and materials. And finally got understood. I though it might be better to illustrate with a plot, a small segment of the streamline, a velocity segment which is tangential to the streamline, decompose the velocity to Vx and Vy, etc.
Still, I think this play list is great! I really like it.
Hello! I can see where a graphical representation of the stream line would help in understanding what dr means. Thank you so much for the tip! And I am glad these are helping you! :)
simple and lucid language videos are very good
I am using some examples from the "Fundamentals of Fluid Mechanics" by Munson and Young, Sixth Edition.
Your procedure is to use the infinitesimal arc length definition of a streamline which is a special curve (we want to find its representation) together with the given velocity (vector) field. Using the cross-product and integrating is then like saying that we want to connect velocity vectors in a parallel fashion (continuing their direction). We then get one of many streamlines by using the initial position. IS this correct?
What is d lambda ? A scalar that maps velocity to space?
So streamline calculations are constrained optimization?
You're the best!!
Oh is dlambda supposed to be like a Lagrange multiplier?
Plz make a video on strain rate example
What about velocity vector function, which will be like v(x(t), y(t), z(t), t). I don't know, how this vector function could look like. I thought it could look like this : v = i(x+2t) + j(y+t) + k(z+5t), where I, j, k are unit vectors. I see, that velocity is function of time, but not that coordinates are functions of time.
So, can you give an example of this kind of function, please?
Thanks
Why are there no Xdot's, Ydot's, or Zdot's? Usually time derivatives are treated this way?
to make easier to differenciate both the partial and total derivates in the video i guess, thats just a fancy notation used in physics
what is the difference between dr and d-lamda?
Im pretty sure the idea is like when in calculus you do lagrange equations of a function f = a function g times lambda
Here you also have an equation system with lambda as a parameter
Thank you very much!
thank you
I do not understand why you consider the negativ in Y-part two times? :O
thank u very much
You don't really explain where d lamda is coming from
the vectors are parallel so u can write one vector as a scalar multiple of another.
You might like to edit the video to say dx/dt=vx.. I had to pause for a few seconds
Tnx bro
I'm green colour blind..could you possibly re-do the video in the black ink?
abc1010101 use a contrast filter on your computer from the ctr alt del menu
Thank you so much!