Entropy -- prove it increases for irreversible process

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jangseok seo
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hi all,

upload_2015-5-20_2-14-30.png

this is Entropy Rate Balance for Control Volumes.

in the case of throttling process,


upload_2015-5-20_2-17-43.png
.throttling process is irreversible process, so (S2- S1) must be greater than zero.

what i want to know is to prove that (s2-s1) is greater than zero.

Thank you in advance.
 

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jangseok seo said:
hi all,

View attachment 83647
this is Entropy Rate Balance for Control Volumes.

in the case of throttling process,


View attachment 83652.throttling process is irreversible process, so (S2- S1) must be greater than zero.

what i want to know is to prove that (s2-s1) is greater than zero.

Thank you in advance.
I thought we had already answered this question in the following thread: https://www.physicsforums.com/threads/throttling-process.814170/#post-5112310. Were you dissatisfied with the explanation given in that thread? If so, what was it that you disagree with?

Chet