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Nov 5, 2015 at 20:17 comment added dowlguest I don't have much time today but I will try to simply the code and re-post. The constants are important because they are material properties for an actual system. This code is modeling an experimental setup to try and replicate the temperature response analytically. I could change them for simplification of the problem but eventually they will be important. As of now I can obtain a somewhat accurate steady state solution which is what is being plotted.
Nov 5, 2015 at 12:27 history closed Dr. belisarius
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Nov 5, 2015 at 11:05 comment added xzczd To be honest, your question still looks frustrating, you'd better simplify your code sample as much as possible, currently your sample contains many irrelevant part (I mean the Plot, BCr[…], etc., which can just be deleted) and a lot of tedious but not-that-important coefficients (I mean the ρs etc., why not replacing them with some simple number?).
Nov 5, 2015 at 9:00 comment added dowlguest @xzczd - thank you for your help with the formatting! I will make sure to do so in the future.
Nov 5, 2015 at 8:56 comment added xzczd Please learn more about how to format your code so your question may attract more attention, also, you may want to know how to use @.
S Nov 5, 2015 at 8:53 history edited xzczd CC BY-SA 3.0
edited code
S Nov 5, 2015 at 8:53 history suggested mattiav27 CC BY-SA 3.0
edited code
Nov 5, 2015 at 8:47 review Suggested edits
S Nov 5, 2015 at 8:53
Nov 5, 2015 at 8:35 comment added dowlguest Forgot to mention the initial conditions ?? should be replaced by Ti[z_] (and constant with respect to r)
Nov 5, 2015 at 8:33 history edited dowlguest CC BY-SA 3.0
added 1951 characters in body
Nov 5, 2015 at 8:32 comment added dowlguest Sorry, I didn't notice the ??. The initial condition is being set equal to a discontinuous temperature profile. I will post the code that sets the initial temperature profile as well as defining the variables in the edited post.
Nov 5, 2015 at 5:23 comment added bbgodfrey Putting your code in the question was the right thing to do. I have improved the appearance of the code a bit but not changed it substantively. To proceed, replace ?? by the desired initial condition, replace {r, z} ∈ mesh by {r, -reff, reff}, {z, 0, zmax}, and define the constants that appear in your code. Your challenge here is not cylindrical coordinates per se (although negative r is an issue) but in producing self-consistent code.
Nov 5, 2015 at 5:06 history edited bbgodfrey CC BY-SA 3.0
improved formatting a bit
Nov 5, 2015 at 4:58 history edited bbgodfrey CC BY-SA 3.0
improved formatting a bit
Nov 5, 2015 at 4:13 comment added dowlguest I added the code in the original post as it would not fit in the comment
Nov 5, 2015 at 4:13 history edited dowlguest CC BY-SA 3.0
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Nov 5, 2015 at 4:11 comment added dowlguest I am trying to solve the heat equation in cylindrical coordinates . I want to solve it for radial boundary conditions where temperature is constant with time and axial boundary conditions that are constant Temperature on one side and constant heat flux on the other side. There are two separate mediums involved to simulate a heated wall condition. Initial conditions include a linear temperature profile in the solid and a constant temperature in the fluid. It is initially discontinuous (fluid temperature not equal to solid wall). Assume no relative motion of the fluid (no convective term).
Nov 5, 2015 at 3:38 review Close votes
Nov 5, 2015 at 12:30
Nov 5, 2015 at 3:19 history edited Dr. belisarius
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Nov 5, 2015 at 2:50 comment added bbgodfrey Please provide more information. For instance, what equations are you trying to integrate, and what are the boundary conditions? Express these in Mathematica format, if possible.
Nov 5, 2015 at 2:45 history asked dowlguest CC BY-SA 3.0