Is my method correct?
- In the heat transfer between the fluid flowing through a pipe and the wall; h = f (D, V, Ο, Β΅, k, Cp) is known to be. Accordingly, using the Rayleigh method, perform an investigation by dimensional analysis.
- Question: Draw and show the Cartesian and Cylindrical coordinate systems
https://preview.redd.it/419jt34bj1m61.jpg?width=1708&format=pjpg&auto=webp&s=62a56b1b11857f8cb9d86206f5ffa3a7bb1d47a9
So when you add the z component to the xy coordinate system, the name remains as cartesian coordinates. Yet when z is added to polar coordinates, it gets a name change. Why is this? Is there an issue with calling it polar coordinates in R^3 instead of R^2?
Do RGB cubic-coordinate and HSL cylindrical-coordinate systems both support same colors? Does one system support more or less colors than the other, or does one system support a color that cannot be achieved with the other system?
If we have Navier-Stokes in cylindrical coordinates and we want to apply it to a rotationally symetric flow, like in a pipe, what terms vanish? All the variables in phi direction, the derivatives with respect to phi, or both?
For upper and lower bound of r, I got 2 sec ΞΈ and 0 respectively. Meanwhile for ΞΈ, I got Ο/2 and Ο/4.
I'm really confused though. Is there no correct answer for this question?
https://math.stackexchange.com/questions/3898044/how-to-set-bounds-in-cylindrical-coordinates/3898083?noredirect=1#comment8039596_3898083
I asked this question on stackexchange and the second answer I got was leading me in the right direction, I just still donβt understand how to solve the bounds. This person also set y varying from 0 to 6 when that wasnβt the case. The variable z was varying from 0 to 6.
Im a bit stuck trying to find the definite integral of dr. which stretches from 0 to a(z).
I linked the question here: https://imgur.com/a/ZRHI2hz
Im not really sure how to proceed with it at all
Can anyone here point out to me what is the upper and lower bound for both r and ΞΈ ? For r, I'm struggling between 2 csc ΞΈ and 2 sec ΞΈ. For ΞΈ, I got pi/4 to pi/2.
https://preview.redd.it/5eotj9uf93h51.png?width=684&format=png&auto=webp&s=a4b4064b87e51225a75b7a98a35dd32a9fc0f8c3
Hello,
In my multivariable calculus class, we've been doing many triple integrals over rectangular, cylindrical/polar, and spherical coordinates. Our textbook, however, divides these integrals using different types of coordinates into different sections of the chapter. This meant that we were always directed to use a certain type of method depending on which part of the book the problem came from.
We haven't really done any practice where the question simply asks us to evaluate a triple integral over some region after learning all of these methods, so as a result, I'm still a bit shaky about knowing what coordinate system to pick for every problem. How should I determine what coordinate system to use if I'm given a triple integral problem?
Is there a way for me to convert between the two? I am trying to learn the Hagen-Poseullie flow equation, but canβt find any good sources detailing how to cylindrical version is derived.
Any help would be greatly appreciated!
I'm a first year physics student doing summer research (won't get into details here), for which I am supposed to learn about the wave equation. I worked up to solving the 1-D wave equation using separation of variables, which I am okay with. Now my prof wants me to attempt separation of variables for the 3-D wave equation in cylindrical coordinates. He is aware that it's a very difficult task for a first year and that if I can't do it it's fine. But I would like to be able to. I've looked at a lot of stuff about it, and he's worked part way through one question, and left me to finish the rest.
So yeah I'm just looking for help about using separation of variables to solve the 3-D wave equation in cylindrical coordinates. If anyone could offer any help or knows of any online resources that'd be great.
- In the heat transfer between the fluid flowing through a pipe and the wall; h = f (D, V, Ο, Β΅, k, Cp) is known to be. Accordingly, using the Rayleigh method, perform an investigation by dimensional analysis.
- Question: Draw and show the Cartesian and Cylindrical coordinate systems
https://preview.redd.it/ixg2pmnss8m61.jpg?width=1708&format=pjpg&auto=webp&s=29f1846fc7d16c757d61d9fc4342775b71ad6236
