User:Xenomancer/PowerGen

Some power generation thermodynamic cycles

Closed Brayton Cycle with Gas Dissociation
A gas dissociation modification of the closed Brayton cycle using the gas phase NO2/N2O4 system as the working fluid.

Reaction Equilibria
Where $$A=N_2O_4$$ and $$B=NO_2$$


 * Heating CSTR: $$A\rightleftharpoons B$$, $$\Delta H^o_{rxn}=\dot{Q}^o_{rxn}$$
 * Cooling CSTR: $$2B\rightleftharpoons A$$, $$\Delta H^o_{rxn}=-\frac{\dot{Q}^o_{rxn}}{2}$$

Rate Expressions

 * Heating CSTR: $$-r_{A,2}=k^o_f\text{exp}{\left({\frac{\Delta E^o_f}{R}{\left({\frac{1}{T^o}-\frac{1}{T_2}}\right)}}\right)}C_{A,2}-k^o_r\text{exp}{\left({\frac{\Delta E^o_r}{R}{\left({\frac{1}{T^o}-\frac{1}{T_2}}\right)}}\right)}C^2_{B,2}$$
 * Cooling CSTR: $$-r_{B,4}=k^o_f\text{exp}{\left({\frac{\Delta E^o_f}{R}{\left({\frac{1}{T^o}-\frac{1}{T_4}}\right)}}\right)}C_{A,4}-k^o_r\text{exp}{\left({\frac{\Delta E^o_r}{R}{\left({\frac{1}{T^o}-\frac{1}{T_4}}\right)}}\right)}C^2_{B,4}$$

Heating CSTR
Start with a standard CSTR balance:

$$V_H=\frac{F_{A,1}X_H}{-r_{A,2}}$$