Question Statement:
In an ideal turbofan engine shown in the figure below, the compressor is driven by
the high pressure turbine, and the fan is driven by the low pressure turbine. The
stations 0, 2, 3, 4, 4.5, and 5 refer to free-stream, compressor inlet, compressor
outlet, combustor exit, high pressure turbine exit, and low pressure turbine exit,
respectively, and the subscript 't' refers to the total condition. Also, 𝜏r = Tt0 T0⁄ ,
𝜏c = Tt3 Tt2⁄ and 𝜏𝜆 = Tt4 T0.⁄ The total temperature ratio of the high pressure
turbine (Tt4.5 Tt4⁄ ) is given by ______.
Options:
- (A) 1 - 𝜏r 𝜏𝜆 (𝜏c - 1)
- (B) 1 + 𝜏r 𝜏𝜆 (𝜏c + 1)
- (C) 1 - 𝜏r 𝜏𝜆 (𝜏c + 1)
- (D) 1 + 𝜏r 𝜏𝜆 (𝜏c - 1)