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how to solve a one dimension thermal diffusion equation

hi

 

i am new to these forums and new to labview.

 

please see if you can help me with this - 

 

i am taking 8 sets of data - over 2 minutes - sampled at one second apart. The 8 data points are along 8 equidistand points of a rod and the data itself is the temparature, recorded as a voltage (v) by the thermistor 

 

The data satisfies the following equation - 

 

d^2v/dx^2 = k d^2v/dt^2

 

that is the one dimensional laplacian of the voltage = k times the 2nd time derivative of the voltage

 

how to solve the equation in labview !!??

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Message 1 of 9
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Open the example finder and look at the example "PDE Thermal distribution.vi".

 

It solves your problem in two dimensions, so all you need is to simplify it to one dimension. 😄

 

See how far you get.....

Message 2 of 9
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hi

 

i have looked under sxamples but i cant find "PDE thermal distribution" - could you please tell me where it is.

 

yes but if it is solved in 2d then it cant be too tough to rip the 1D from it

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Message 3 of 9
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A few options:

 

  • Search for "PDE", that should narrow it down to a few.
  • Browse by task...new examples for LabVIEW 2009...
  • browse by directory structure...math...pde.llb

What is your LabVIEW version. If it is older than 2009, you won't have it.

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Message 4 of 9
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fount it...now lets see

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Message 5 of 9
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to make it 1d - 

 

in the main panel - 

 

i set y value =0 and y range =0 (whats the difference anyway). Cant i get rid of the Y altogether

 

i can change the cases in the block diagram panel, to 1D, but i have to know whcih type of 1D we are doing - if initial data is taken by a sensor and fed to ELVIs and then stored in array then is the initial and boundary condition "numeric" or "VI"

 

Also i do not need any plots or graphs- just need to solve the eq to get the K

 

thanks a lot

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Message 6 of 9
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any other tips or advice

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Message 7 of 9
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Here there is what you need for 3d 2d or 1d problems. That's a heat diffusion simulator

http://cfdosc.wordpress.com/2013/07/05/tutorial-for-friendly-user-unterface-edna-screenshots/

good luck

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Message 8 of 9
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I think the OP was looking for a LabVIEW based solution, though.

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Message 9 of 9
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