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Turbine blades mounted to a rotating disc in a gas turbine engine are exposed to a gas stream that is at T = 1200°C and maintains a convection coefficient of h = 200 W/m² K over the blade. The blades, which are fabricated from Inconel, k 20 W/m-K, have a length of L = 50 mm. The blade profile has a uniform cross-sectional area of A = 6× 10-4 m² and a perimeter of P = 110 mm. A proposed blade-cooling scheme, which involves routing air through the supporting disc, is able to maintain the base of each blade at a temperature of T, = 300°C. (a) If the maximum allowable blade temperature is 1050°C and the blade tip may be assumed to be adiabatic, is the proposed cooling scheme satisfactory? Yes (b) For the proposed cooling scheme, what is the rate at which heat is transferred from each blade to the coolant, W? 9b = i 508 W

Turbine blades mounted to a rotating disc in a gas turbine engine are exposed to a gas stream that is at T = 1200°C and maintains a convection coefficient of h = 200 W/m² K over the blade. The blades, which are fabricated from Inconel, k 20 W/m-K, have a length of L = 50 mm. The blade profile has a uniform cross-sectional area of A = 6× 10-4 m² and a perimeter of P = 110 mm. A proposed blade-cooling scheme, which involves routing air through the supporting disc, is able to maintain the base of each blade at a temperature of T, = 300°C. (a) If the maximum allowable blade temperature is 1050°C and the blade tip may be assumed to be adiabatic, is the proposed cooling scheme satisfactory? Yes (b) For the proposed cooling scheme, what is the rate at which heat is transferred from each blade to the coolant, W? 9b = i 508 W

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.36P
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1200°C and maintains a 20 W/m-K, have a Turbine blades mounted to a rotating disc in a gas turbine engine are exposed to a gas stream that is at T = convection coefficient of h = 200 W/m²-K over the blade. The blades, which are fabricated from Inconel, k length of L = 50 mm. The blade profile has a uniform cross-sectional area of A = 6× 104 m² and a perimeter of P = 110 mm. A proposed blade-cooling scheme, which involves routing air through the supporting disc, is able to maintain the base of each blade at a temperature of T, = 300°C. (a) If the maximum allowable blade temperature is 1050°C and the blade tip may be assumed to be adiabatic, is the proposed cooling scheme satisfactory? Yes W (b) For the proposed cooling scheme, what is the rate at which heat is transferred from each blade to the coolant, W? 9b = i 508 Gas stream Th Air coolant Blade tip -Tb -Rotating disk
Transcribed Image Text:1200°C and maintains a 20 W/m-K, have a Turbine blades mounted to a rotating disc in a gas turbine engine are exposed to a gas stream that is at T = convection coefficient of h = 200 W/m²-K over the blade. The blades, which are fabricated from Inconel, k length of L = 50 mm. The blade profile has a uniform cross-sectional area of A = 6× 104 m² and a perimeter of P = 110 mm. A proposed blade-cooling scheme, which involves routing air through the supporting disc, is able to maintain the base of each blade at a temperature of T, = 300°C. (a) If the maximum allowable blade temperature is 1050°C and the blade tip may be assumed to be adiabatic, is the proposed cooling scheme satisfactory? Yes W (b) For the proposed cooling scheme, what is the rate at which heat is transferred from each blade to the coolant, W? 9b = i 508 Gas stream Th Air coolant Blade tip -Tb -Rotating disk
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