cant understand this point - Fourier No. in transient heat conduction

AGAAMAZ · August 13, 2020, 05:05

hello everyone
in 1d transient conduction problem - why the results are different when i change the Fourier No. (Fo) although the time is the same

for example :
Fo=0.5 - i get these results after 301 sec

1000.000 724.375 448.750 448.750 448.750 724.375 1000.000

Fo=0.0083 - i get these results after 301 sec

1000.000 684.532 454.825 371.198 454.825 684.532 1000.000

cdegroot · August 18, 2020, 00:47

I have no ideas what the numbers that you listed represent, but it is expected that changing the Fourier number would change the temperature field for a given time. This is because the Fourier number represents the ratio of diffusive energy transport to rate of storage/depletion.

LuckyTran · August 18, 2020, 04:06

The Fourier number is the non-dimensional time-step for heat conduction problems, so of course the results will change.

August 13, 2020, 05:05	cant understand this point - Fourier No. in transient heat conduction	#1
AGAAMAZ New Member Join Date: Jul 2020 Posts: 22 Rep Power: 7	hello everyone in 1d transient conduction problem - why the results are different when i change the Fourier No. (Fo) although the time is the same for example : Fo=0.5 - i get these results after 301 sec 1000.000 724.375 448.750 448.750 448.750 724.375 1000.000 Fo=0.0083 - i get these results after 301 sec 1000.000 684.532 454.825 371.198 454.825 684.532 1000.000

August 18, 2020, 00:47		#2
cdegroot Senior Member Chris DeGroot Join Date: Nov 2011 Location: Canada Posts: 414 Rep Power: 19	I have no ideas what the numbers that you listed represent, but it is expected that changing the Fourier number would change the temperature field for a given time. This is because the Fourier number represents the ratio of diffusive energy transport to rate of storage/depletion. __________________ Chris DeGroot, PhD, PEng CEO, Maple Key Labs www.maplekeylabs.com

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August 18, 2020, 04:06		#3
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,845 Rep Power: 68	The Fourier number is the non-dimensional time-step for heat conduction problems, so of course the results will change.