GATE AE 2023 • Q21 MCQ • 1 Mark Propulsion

Propulsion

Compressors and Turbines

Subtopic: Axial Flow Compressor Stage Dynamics & Stall

Question Statement:

For a stage of a 50% reaction ideal axial flow compressor (symmetrical blading), select the correct statement from the options given.
Question figure for GATE AE 2023 Q21

Scientific schematic diagram reproduced from official IIT paper

Options:

  • (A) The stagnation enthalpy rise across the rotor is 50% of the rise across the stage.
  • (B) The static enthalpy rise across the rotor is 50% of the rise across the stage.
  • (C) Axial velocity component of the flow at the rotor exit is 50% of that at the rotor entry.
  • (D) The static pressure rise across the rotor is 50% of the rise across the stator.

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2023 Q.21)** **1. Intuitive Physical Setup & Given Parameters**: **Scenario Context**: This question tests core mastery of **Atmospheric Flight Mechanics** (Standard Atmosphere Properties) within the *Flight Mechanics & Space Dynamics* curriculum (1 Mark, MCQ). **Problem Statement**: > For a stage of a 50% reaction ideal axial flow compressor (symmetrical blading), select the correct statement from the options given. **2. Step-by-Step Mathematical Derivation**: 1. **Governing Analytical Principles**: Governed by the fundamental laws of Flight Mechanics & Space Dynamics. 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`**. **3. Comprehensive Options & Distractor Analysis**: - **(A)** *"The stagnation enthalpy rise across the rotor is 50% of the rise across the stage."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(B)** *"The static enthalpy rise across the rotor is 50% of the rise across the stage."*: ✅ **CORRECT**. Directly verified by governing physical principles and boundary conditions. - **(C)** *"Axial velocity component of the flow at the rotor exit is 50% of that at the rotor entry."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. - **(D)** *"The static pressure rise across the rotor is 50% of the rise across the stator."*: ❌ **INCORRECT**. Fails boundary conditions or contradicts physical laws. **4. Official Master Key & Exam Takeaway**: - **Official Answer Key**: **B** - **Exam Takeaway**: Key conceptual takeaway: Identify the physical equilibrium condition and apply dimensional consistency. Verified against official GATE 2023 (IIT Kanpur) key.
← Previous (Q20) All 2023 Questions Next (Q22) →

Related Compressors and Turbines Solved Questions

View All Compressors and Turbines PYQs →
GATE AE 2026 Q18 MCQ • 1M

The figure below depicts two ideal gas turbine cycles, cycle 1-2-3-4-1 and cycle 1-2-3'-4'-1, on a T-s diagram. Which one the following statements is FALSE?

GATE AE 2026 Q27 MSQ • 1M

The figure below shows the blading of the rotors of two different axial turbomachines under their typical operating conditions, labelled as Configuration I and Configuration II. Which of the following statements is/are TRUE?

GATE AE 2026 Q28 MSQ • 1M

A multi-stage axial compressor can be operated at two points, A and B, both of which lie on the same speed line, as shown in the figure below. If $\eta$ is the isentropic efficiency of the compressor, select the statements that is/are TRUE.

GATE AE 2026 Q42 MCQ • 2M

The figure below shows a compressor stage with station numbers 1, 2, and 3 as indicated. If p0i, T0i, and Ci refer to the average values of total pressure, total temperature, and absolute flow speed, respectively, at the ith station, select the CORRECT option considering losses.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test