I created a small drawing after a short clarification (thanks to Charles!).
Maybe it will help someone who will find this later.
##\vec H## and ##d \vec l## always point in the same direction so that ##\oint H \cdot dl## will simplify to just ##HL## with ##L## being the torus length.
Yes that balancing was also what started me puzzling in the first place and got me into the topic. I started by noticing that for high inductor values, just a few mA (##I_{po}##) are sufficient to stop the current from flowing through the "shorted" source coil - so I knew that a load causing...
@Baluncore @Charles Link Sorry I must have overlooked the mail and got logged out in the browser. Thanks for the additional information I will have a look at it and think about it tonight, don't want to miss that input.
Ah! That matches with what berkeman was suspecting. Thanks for identifying and clarifying my mistake here.
It was a little bit confusing because even some webpages used examples like that (coil in coil with air core) to explain transformer-like behaviour and the mutual inductance. And I was not...
Possibly, I'm not sure. Thanks for reading and trying to understand the long post!
I'll try to boil it down to a more simple example:
Two coils are wound on the same core. Now both have the exact same amount of windings but different length. For this exercise I will assume no leakage because of...
Hello!
I have a question regarding the mutual inductance of two coils in a transformer.
In the formulas for linked coils ##M=k*\sqrt{(L_1*L_2)}## where ##k=1## for a perfect coupling.
I wanted to check my understanding about mutual inductance and see how it can be determined. When I vary the...
With an external tool like Paraview it should be possible, but I've never used it so far and it's rather complicated. At least I didn't manage to do it yet and would need some time to learn it first (it's not as intuitive as I hoped). If anybody is experienced enough I could upload the...
And here the x-speed (flowing "into" the pipe from left to right) at the junction at the beginning. Speed is slightly higher than 10m/s because speed at the wall decreases because of friction.
I think it gets compressed by the forum. I created some measurement points to show the pressure. Also I did a cut so we can look into the bypass from the front (rotating the model above by 90°).
Actually to me it looks a little bit like the recirculation area that is visible in a sudden pipe...
Just in case anybody's interested, I learned some CAD and modeled the thing in a CFD simulation :-)
Of course it's more far away from the initial theory in the post as it includes wall friction and a turbulence model, but just thought I'd put it here for completeness. Input speed is 10m/s and...
I took the second example you calculated above in post #9 and left all the other parameters constant except for the diameter ##A_2## and solved it. For other parameter combinations it would of course be other values as they influence each other. It was just valid with the other parameters unchanged.
If it was that easy I'd happily do it. Really!
I'm already thankful you helped putting up the equation.
If you agree I would conclude: As long as ##A_2<sqrt(2)## that is solvable. Once ## A_2>sqrt(2) ## the value inside ##\sqrt{(2*\beta*Q_T)^2 -4*(\beta-\frac{k_B}{A_B^2})*\beta*Q_T^2}## will...
I tried to come up with a possibility if there could be a loop flow established. So I had thought experiments in mind like the side branch is first closed with gates at both sides and then suddenly opened once the main branch is steady (I could even measure the pressure difference pushing at...
I did mean it like that:
Initially, there are 10l/s flowing into the main branch (QT in the image). Then, once it reaches the branch at point 2, then 9l/s will continue towards the exit and 1l/s will go into the branch. So at that point only QT-QB can continue! Thats for sure. I don't want to...
Venturi is what started me start thinking in what direction the fluid in the branch will flow which lead to this post. And if I have a look at the “prohibited” drawing from post #7, I could imagine that flow only if the speed in the lower branch would increase. But then it doesn’t follow the...