GATE AE 2025 • Q61 NAT • 2 Marks

Propulsion

Air-Breathing & Rocket Propulsion

Subtopic: Engine Thermodynamic Cycles

Question Statement:

An ideal turbofan with a bypass ratio of 5 has core mass flow rate, ṁ a,c= 100 kg/s. The core and the fan exhausts are separate and optimally expanded. The core exhaust speed is 600 m/s and the fan exhaust speed is 120 m/s. If the fuel mass flow rate is negligible in comparison to ṁ a,c, the static specific thrust (T/ṁ a,c) developed by the engine is ____ Ns/kg (rounded off to the nearest integer).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.61)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Air-Breathing & Rocket Propulsion equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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