Worked Example

Problem: A gas$-$turbine power plant operating on an actual Brayton cycle has a pressure ratio of $9.$ The gas temperature is $350$ K at the compressor inlet and $1400$ K at the turbine inlet. Assume that isentropic efficiency for compressor and turbine as $80\%$ and $85\%,$ respectively. A regenerator is installed with an efficiency $($effectiveness$)$ of $80\%.$ Determine;

$($a$)$ The gas temperature at the exits of the compressor and turbine

$($b$)$ The back work ratio

$($c$)$ Thermal Efficiency

Take the value of $C_{p_a}=1\mathrm{.}005\frac{(kJ)}{kgK},C_{p_g}=1\mathrm{.}15\frac{(kJ)}{kgK},k=1\mathrm{.}4$for air and $1\mathrm{.}33$ for gas