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Specific entropy

Values for calculation

$ \{τ\in\mathbb{R}\mid τ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ τ $
$ \{γ_τ\in\mathbb{R}\} $
This set includes all real numbers.
$ γ_τ $
$ \{γ\in\mathbb{R}\} $
This set includes all real numbers.
$ γ $
$ R $ $ \mathrm{J\cdot\ kg^{-1}\cdot\ K^{-1}} $
$ \{γ^o_τ\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^o_τ $
$ \{γ^r_τ\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^r_τ $
$ \{γ^o\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^o $
$ \{γ^r\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^r $
$ \{φ_τ\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_τ $
$ \{φ\in\mathbb{R}\} $
This set includes all real numbers.
$ φ $
$ \text{Region} $

Calculation

Specific entropy

$\text{if }\ \text{Region}= 1$
$\text{if }\ \text{Region}= 1$
Equations in LaTeX code
\text{if }\ \text{Region}= 1
$$s=\left(τ\cdot γ_τ-γ\right)\cdot R$$
$s=\left(τ\cdot γ_τ-γ\right)\cdot R$
Equations in LaTeX code
s=\left(τ\cdot γ_τ-γ\right)\cdot R
$\text{else if }\ \text{Region}= 2$
$\text{else if }\ \text{Region}= 2$
Equations in LaTeX code
\text{else if }\ \text{Region}= 2
$$s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R$$
$s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R$
Equations in LaTeX code
s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R
$\text{else if }\ \text{Region}= 3$
$\text{else if }\ \text{Region}= 3$
Equations in LaTeX code
\text{else if }\ \text{Region}= 3
$$s=\left(τ\cdot φ_τ-φ\right)\cdot R$$
$s=\left(τ\cdot φ_τ-φ\right)\cdot R$
Equations in LaTeX code
s=\left(τ\cdot φ_τ-φ\right)\cdot R
$\text{else if }\ \text{Region}= 5$
$\text{else if }\ \text{Region}= 5$
Equations in LaTeX code
\text{else if }\ \text{Region}= 5
$$s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R$$
$s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R$
Equations in LaTeX code
s=\left(τ\cdot\left(γ^o_τ+γ^r_τ\right)-\left(γ^o+γ^r\right)\right)\cdot R
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$s=0$$
$s=0$
Equations in LaTeX code
s=0
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