GATE AE 2026 • Q65 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

A Mach 1.5 air flow enters a round duct of length 20 cm and diameter 3 cm. If the flow exits with Mach number 1.1, the average Fanning friction factor f of the duct is ________ × 10-3 (rounded off to 1 decimal place). An excerpt from the Fanno flow table for air is given below. M 1.1 1.2 1.3 1.4 1.5 1.6 𝟒𝒇𝑳∗ 𝑫 × 𝟏𝟎𝟒 99.35 336.4 648.3 997.4 1361 1724

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.65)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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