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Statistical Geofluid Mechanics

Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...

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Statistical Geofluid Mechanics | statisticalgeofluidmechanics.blogspot.com Reviews
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Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...
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Statistical Geofluid Mechanics | statisticalgeofluidmechanics.blogspot.com Reviews

https://statisticalgeofluidmechanics.blogspot.com

Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...

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1

Statistical Geofluid Mechanics: Temperature profile at which the entropy production is minimum

http://statisticalgeofluidmechanics.blogspot.com/2008/02/temperature-profile-at-which-entropy.html

Monday, February 4, 2008. Temperature profile at which the entropy production is minimum. The temperature profile at which the entropy production is minimum has been computed here for the case of a metal bar heated at both ends by two difference heat sources. It is not the linear profile corresponding to the steady state but it is a profile exponentially increasing from the cold to the warm source. The entropy production for any temperature profile T(x) is:. The solution of which is simply.

2

Statistical Geofluid Mechanics: Case of the metal bar: revised version

http://statisticalgeofluidmechanics.blogspot.com/2008/02/case-of-metal-bar-revised-version.html

Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...

3

Statistical Geofluid Mechanics: February 2008

http://statisticalgeofluidmechanics.blogspot.com/2008_02_01_archive.html

Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...

4

Statistical Geofluid Mechanics: Entropy production in a metal bar for steady and non-steady states

http://statisticalgeofluidmechanics.blogspot.com/2008/02/entropy-production-in-metal-bar-for.html

Saturday, February 2, 2008. Entropy production in a metal bar for steady and non-steady states. The result is that the steady-state profile does not correspond to such state. It is rather close, but not exactly, to a state where entropy production is the minimum among all possible states. This result is discussed in contrast to Prigogine's "minimum entropy production principle". On one end and T. The temperature profile T(x) for this family is thus:. Where K is the heat diffusion coefficient and is consi...

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Statistical Geofluid Mechanics

Saturday, February 16, 2008. Case of the metal bar: revised version. The case of the metal bar is revised from this post. The main error made in these previous posts is that the the heat flux q. Was chosen proportional to ∂. T instead of ∂. 1/T) according to the phenomenological law. Thus, the profile corresponding to the minimum entropy principle did not correspond to the profile of a steady state (∂. The linear profile we learnt is only an approximation of the real steady state profile. Constant in x t...

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