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Specific isobaric heat capacity

Values for calculation

$τ$
$γ_{ττ}$
$R$ $\mathrm{J\cdot kg^{-1}\cdot K^{-1}}$
$γ^o_{ττ}$
$γ^r_{ττ}$
$φ_{ττ}$
$δ$
$φ_δ$
$φ_{δτ}$
$φ_{δδ}$
$\text{Region}$

Calculation

Specific isobaric heat capacity

$\text{if }\ \text{Region}= 1$
$\text{if }\ \text{Region}= 1$
Equations in LaTeX code
\text{if }\ \text{Region}= 1
$$c_p=-τ^2\cdot γ_{ττ}\cdot R$$
$c_p=-τ^2\cdot γ_{ττ}\cdot R$
Equations in LaTeX code
c_p=-τ^2\cdot γ_{ττ}\cdot R
$\text{else if }\ \text{Region}= 2$
$\text{else if }\ \text{Region}= 2$
Equations in LaTeX code
\text{else if }\ \text{Region}= 2
$$c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\right)\right)\cdot R$$
$c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\right)\right)\cdot R$
Equations in LaTeX code
c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\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
$$c_p=\left(-τ^2\cdot φ_{ττ}+\cfrac{\left(δ\cdot φ_δ-δ\cdot τ\cdot φ_{δτ}\right)^2}{2\cdot δ\cdot φ_δ+δ^2\cdot φ_{δδ}}\right)\cdot R$$
$c_p=\left(-τ^2\cdot φ_{ττ}+\cfrac{\left(δ\cdot φ_δ-δ\cdot τ\cdot φ_{δτ}\right)^2}{2\cdot δ\cdot φ_δ+δ^2\cdot φ_{δδ}}\right)\cdot R$
Equations in LaTeX code
c_p=\left(-τ^2\cdot φ_{ττ}+\cfrac{\left(δ\cdot φ_δ-δ\cdot τ\cdot φ_{δτ}\right)^2}{2\cdot δ\cdot φ_δ+δ^2\cdot φ_{δδ}}\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
$$c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\right)\right)\cdot R$$
$c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\right)\right)\cdot R$
Equations in LaTeX code
c_p=\left(-τ^2\cdot\left(γ^o_{ττ}+γ^r_{ττ}\right)\right)\cdot R
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$c_p=0$$
$c_p=0$
Equations in LaTeX code
c_p=0
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