heat conduction in a rod
 

Hello everyone

When writing the program for heat conduction in a rod what is the difference between dimensional temperature and nondimensional temperature? Dimensional temperature is taken as 100*nondimensional temperature.

Thanks

Re: heat conduction in a rod
 

? sounds to me you just answered your own question :)

Re: heat conduction in a rod
 

Hi name

But what is the significance of taking nondimensional temperature first and then taking dimensional temperature?

Regards

Re: heat conduction in a rod
 

Maybe I'm missing the point but one reason you non-dimensionalize a numerical problem (say between a range of 0-1) is to help minimize numerical errors. After the computation is complete you put the dimensions back in to get a physical answer :)

Re: heat conduction in a rod
 

(1). Dimensional temperature gives you only "one" number. (2). On the other hand, dimensionless temperature gives you "two" numbers. One is the reference temperature, and the other one is the dimensionless temperature. (3). Example: analog clock is dimensionless. So, you can tell the time easily by looking at the positions of hour hand and minute hand. Digital clock is much harder to read, because you will have to read all digits first and then try to make sense out of these numbers. (4). That's why, most of us are now using analog clocks instead of the digital clocks.