8. Component Matching Flashcards

1
Q

what are the three compressor and turbine matching criteria for a gas generator

A
  • same rotational speed: N_C = N_T = N
  • same mass flow rate: 𝑚̇_C = 𝑚̇_T = 𝑚̇
  • same power: W_dotx,C = -W_dotx,T
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2
Q

what is the total-total pressure rise coefficient in an axial compressor, dP_0 / ρU^2

A
  • dP_0 / ρU^2 = nΨ = n*dh_0/U^2
  • n = efficiency
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3
Q

what is the flow coefficient φ for a multistage compressor

A
  • φ = 𝑚̇ / ρUA_x
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4
Q

what are the two most hazardous conditions to affect a compressor installation

A
  • rotating stall
  • surge
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5
Q

what is rotating stall

A
  • a local compressor instability caused by separated flow
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6
Q

what is surge

A
  • a global system instability caused by flow reversal
  • normally preceded by rotating stall
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7
Q

what is the non-dimensional time constant parameter in the ODE for surge, B

A
  • B = U/2a * sqrt(Vol_p/A_c*L_c)
  • Vol_p = plenum volume
  • A_c*L_c = inlet duct volume
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8
Q

what is the bypass ratio BPR for a geared turbofan

A
  • BPR = 𝑚̇_fan / 𝑚̇_core
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9
Q

what is the gear ratio G

A
  • G = w_fan / w_LPT
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10
Q

what does it mean if G = 1

A
  • G = 1 means there is no gearbox
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11
Q

what is the LPT stage loading coefficient Ψ_LPT in terms of the fan stage loading coefficient Ψ_fan

A
  • Ψ_LPT = Ψ_fan * (G*r_fan/r_LPT)^2 * BPR/N_LPT
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