Thermodynamic processes: Difference between revisions

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<math display="block">
{{#vardefine:secno|1}}
{{#vardefine:eqno|7}}
 
{{NumEqn|<math>
ds=C_v\dfrac{dT}{T}+R\dfrac{d\nu}{\nu}
ds=C_v\dfrac{dT}{T}+R\dfrac{d\nu}{\nu}
</math>
</math>}}


<math display="block">
{{NumEqn|<math>
d\nu=\dfrac{\nu}{R}ds-C_v\dfrac{\nu}{RT}dT=\dfrac{\nu}{R}ds-\dfrac{C_v}{p}dT
d\nu=\dfrac{\nu}{R}ds-C_v\dfrac{\nu}{RT}dT=\dfrac{\nu}{R}ds-\dfrac{C_v}{p}dT
</math>
</math>}}


for an isentropic process (<math>ds=0</math>), <math>d\nu < 0</math> for positive values of <math>dT</math>.
for an isentropic process (<math>ds=0</math>), <math>d\nu < 0</math> for positive values of <math>dT</math>.