help in fortran code - radiation BC in 1-d SS heat transfer problem

AGAAMAZ · July 29, 2020, 03:21

hi , iam solving 1-d steady state problem with radiation and convection on one side and constant temp. on the other side
iam writing a fortran code but i have a problem in the term of T^4 -the initial temp of the plate-
any help please or any useful ref.
thanks in advance

sbaffini · July 29, 2020, 05:28

Maybe give more details... what method are you using? What problem are you having?

AGAAMAZ · July 29, 2020, 05:34

a vertical metal plate exposed to fire
i supposed that Q transfered by convection and radiation to the plate
i am using finite difference method

sbaffini · July 29, 2020, 05:37

So, we are talking about 1d steady conduction (normal to the plate) with dirichlet bc on one side and convection + radiation bc on the other one, solved with finite difference. Ok

What is the problem that you have with the T^4 term?

sbaffini · July 29, 2020, 06:03

Ok, I guess I know what your problem might be. You might want to give a look at this:

https://sci-hub.st/10.1002/nme.1620111010

July 29, 2020, 03:21	help in fortran code - radiation BC in 1-d SS heat transfer problem	#1
AGAAMAZ New Member Join Date: Jul 2020 Posts: 22 Rep Power: 5	hi , iam solving 1-d steady state problem with radiation and convection on one side and constant temp. on the other side iam writing a fortran code but i have a problem in the term of T^4 -the initial temp of the plate- any help please or any useful ref. thanks in advance

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July 29, 2020, 05:28		#2
sbaffini Senior Member Paolo Lampitella Join Date: Mar 2009 Location: Italy Posts: 2,151 Blog Entries: 29 Rep Power: 39	Maybe give more details... what method are you using? What problem are you having?

July 29, 2020, 05:34		#3
AGAAMAZ New Member Join Date: Jul 2020 Posts: 22 Rep Power: 5	a vertical metal plate exposed to fire i supposed that Q transfered by convection and radiation to the plate i am using finite difference method

July 29, 2020, 05:37		#4
sbaffini Senior Member Paolo Lampitella Join Date: Mar 2009 Location: Italy Posts: 2,151 Blog Entries: 29 Rep Power: 39	So, we are talking about 1d steady conduction (normal to the plate) with dirichlet bc on one side and convection + radiation bc on the other one, solved with finite difference. Ok What is the problem that you have with the T^4 term?

July 29, 2020, 06:03		#5
sbaffini Senior Member Paolo Lampitella Join Date: Mar 2009 Location: Italy Posts: 2,151 Blog Entries: 29 Rep Power: 39	Ok, I guess I know what your problem might be. You might want to give a look at this: https://sci-hub.st/10.1002/nme.1620111010