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Specifically it is achieved at:

Maximum Entropy 

LaTeX Math Inline
bodyS \rightarrow \rm max

LaTeX Math Inline
bodyA(T, V) \rightarrow \rm min

LaTeX Math Inline
bodyG(p, T) \rightarrow \rm min

for isolated system

for a system with

LaTeX Math Inline
bodyT = {\rm const} , \ V = {\rm const}

for a system with

LaTeX Math Inline
bodyp = {\rm const} , \ T = {\rm const}



Particularly in Fluid Dynamics it means that:


LaTeX Math Block
anchorrho
alignmentleft
G \rightarrow \rm min \ \Leftrightarrow \mathrm{d}G = 0



The Gibbs free energy is at minimum


LaTeX Math Block
anchorT
alignmentleft
T= \rm const



the fluid temperature is constant at any moment of time

LaTeX Math Inline
bodyt
and spatial location
LaTeX Math Inline
body{\bf r} = (x,y,z)
of a fluid flow


LaTeX Math Block
anchorT
alignmentleft
p=\rm const



the fluid pressure is constant at any moment of time

LaTeX Math Inline
bodyt
and spatial location
LaTeX Math Inline
body{\bf r} = (x,y,z)
of a fluid flow


LaTeX Math Block
anchorrho
alignmentleft
\rho = \rho(p, T)=\rm const



fluid density is a function of pressure

LaTeX Math Inline
bodyp
and temperature
LaTeX Math Inline
bodyT
only


LaTeX Math Block
anchorrho
alignmentleft
\mu = \mu(p, T)=\rm const



fluid viscosity is a function of pressure

LaTeX Math Inline
bodyp
and temperature
LaTeX Math Inline
bodyT
only


LaTeX Math Block
anchorrho
alignmentleft
\lambda = \lambda(p, T)=\rm const



fluid thermal conductivity is a function of pressure

LaTeX Math Inline
bodyp
and temperature
LaTeX Math Inline
bodyT
only


LaTeX Math Block
anchorrho
alignmentleft
c_p = c_p(p, T)=\rm const



fluid isobaric specific heat capacity is a function of pressure

LaTeX Math Inline
bodyp
and temperature
LaTeX Math Inline
bodyT
only


LaTeX Math Block
anchorrho
alignmentleft
\alpha = \alpha(p, T)=\rm const



fluid Joule–Thomson coefficient is a function of pressure

LaTeX Math Inline
bodyp
and temperature
LaTeX Math Inline
bodyT
only


See also

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Natural Science / Physics / Thermodynamics / Thermodynamic system 

Vapour Liquid Equilibrium (VLE) ]