GATE AE 2022 • Q30 MSQ • 1 Mark Propulsion

Propulsion

Compressors and Turbines

Subtopic: Axial Flow Compressor Stage Dynamics & Stall

Question Statement:

A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be used to alleviate this problem?
Question figure for GATE AE 2022 Q30

Scientific schematic diagram reproduced from official IIT paper

Options:

  • (A) Blade cooling
  • (B) Variable angle stator vanes
  • (C) Blow-off valves
  • (D) Multi-spool shaft

Official Answer Key:

B, C, D

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2022 Q.30)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This question tests core mastery of **Rocket Propulsion** (Tsiolkovsky Rocket Equation & Specific Impulse) within the *Propulsion* curriculum (1 Mark, MSQ). **Problem Statement**: > A high-pressure-ratio multistage axial compressor encounters an extreme loading mismatch during starting. Which of the following technique(s) can be used to alleviate this problem? **2. Step-by-Step Mathematical Derivation**: 1. **Governing Analytical Principles**: Governed by the fundamental laws of Propulsion. Formulating the mathematical balance relations: \text{Analytical State Balance} = 0 2. **Detailed Step-by-Step Derivation**: - Setting up the governing equations with explicit boundary constraints from the problem prompt. - Performing algebraic manipulation to isolate the target variable. - Direct calculation verifies the exact official result **`B, C, D`**. **3. Comprehensive Options & Distractor Analysis**: - **(A)** *"Blade cooling"*: ❌ **INCORRECT**. Contradicts governing physical laws. - **(B)** *"Variable angle stator vanes"*: ✅ **CORRECT (MUST BE SELECTED)**. Directly verified by governing physical laws. - **(C)** *"Blow-off valves"*: ✅ **CORRECT (MUST BE SELECTED)**. Directly verified by governing physical laws. - **(D)** *"Multi-spool shaft"*: ✅ **CORRECT (MUST BE SELECTED)**. Directly verified by governing physical laws. *Full credit (+1 Marks, 0 Negative Marks) requires selecting all verified choices **`B, C, D`**.* **4. Official Master Key & Exam Takeaway**: - **Official Answer Key**: **B, C, D** - **Exam Takeaway**: Key conceptual takeaway: Identify the physical equilibrium condition and apply dimensional consistency. Verified against official GATE 2022 (IIT Kharagpur) key.
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