In a gas turbine cycle with two stages of reheating, working...

In a gas turbine cycle with two stages of reheating, working between maximum pressure $p_{1}$ and minimum pressure $p_{4}$ the optimum reheat reassure would be (a) $\left(p_{1} p_{4}\right)^{1 / 2}$ and $\left(p_{1} p_{2}\right)^{2 / 3}$ (b) $\left(p_{1}^{2} p_{4}\right)^{2 / 3}$ and $\left(p_{1} p_{4}^{2}\right)^{1 / 2}$ (c) $\sqrt{p_{1} p_{4}}$ and $p_{1} \sqrt{p_{4}}$ (c) $\left(p_{1} p_{4}\right)^{1 / 2}$ and $\left(p_{1} p_{4}\right)^{2 / 3}$

In a gas turbine cycle with two stages of reheating, working between maximum pressure $p_{1}$ and minimum pressure $p_{4}$ the optimum reheat reassure would be
(a) $\left(p_{1} p_{4}\right)^{1 / 2}$ and $\left(p_{1} p_{2}\right)^{2 / 3}$
(b) $\left(p_{1}^{2} p_{4}\right)^{2 / 3}$ and $\left(p_{1} p_{4}^{2}\right)^{1 / 2}$
(c) $\sqrt{p_{1} p_{4}}$ and $p_{1} \sqrt{p_{4}}$
(c) $\left(p_{1} p_{4}\right)^{1 / 2}$ and $\left(p_{1} p_{4}\right)^{2 / 3}$

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Key Concepts

Thermodynamic Efficiency

Thermodynamic efficiency in this context refers to the overall performance of the cycle in terms of converting heat into work. Optimizing intermediate pressures in a reheat cycle helps to balance the energy gains during expansion with the losses due to compression, ultimately enhancing efficiency.

Gas Turbine (Brayton) Cycle

The gas turbine cycle is a thermodynamic cycle that consists of compression, constant pressure heat addition, and expansion processes. Understanding the Brayton cycle is essential because it forms the basis for analyzing and optimizing gas turbine performance, typically involving the balance between work input in compressors and work output in turbines.

Reheat Cycle Concept

A reheat cycle involves reheating the working fluid between two stages of expansion in a turbine. This technique allows the cycle to maintain higher average temperatures during expansion, thereby increasing efficiency while controlling the material temperature limits in turbine blades.

Pressure Ratio Optimization

Pressure ratio optimization is the process of determining the optimal distribution of pressures across the cycle to maximize performance. In multi-stage reheat cycles, selecting the appropriate intermediate pressures is crucial for minimizing irreversibilities and improving the thermal efficiency of the cycle.

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