Question about Jet engines (thermodynamics)

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SUMMARY

This discussion focuses on the thermodynamic equations related to jet engines, specifically equations (5.1), (5.2), (5.5), (5.6), and (5.7). Participants guide each other through the process of substituting variables and simplifying equations to derive the thermal efficiency equation, η. Key corrections include addressing mistakes in numerator calculations and ensuring proper factorization. The final equation derived is η = 1 - (T4 - T1) / (T3 - T2), which incorporates pressure ratios and temperature variables.

PREREQUISITES
  • Understanding of thermodynamic principles related to jet engines
  • Familiarity with equations of state and efficiency calculations
  • Knowledge of pressure and temperature relationships in thermodynamics
  • Ability to manipulate algebraic expressions and equations
NEXT STEPS
  • Study the derivation of the thermal efficiency equation in jet engines
  • Learn about the implications of pressure ratios on performance
  • Explore the significance of the specific heat ratio (k) in thermodynamic calculations
  • Review common mistakes in thermodynamic equation manipulation and how to avoid them
USEFUL FOR

Students and professionals in mechanical engineering, aerospace engineering, and anyone involved in the study or design of jet propulsion systems.

  • #31
Equation 5.4 is
$$
T_4 = T_3 / (p_2/p_1)^{(k-1)/k}
$$
so
$$

T_4 = T_3 \left( \frac{p_2}{p_1} \right)^{-(k-1)/k} = T_3 \left( \frac{p_2}{p_1} \right)^{-(1-\frac{1}{k})}
$$
 
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  • #32
Ty dude
 

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