GATE AE 2010 • Q41
MCQ • 2 Marks
Aerodynamics & Fluid Mechanics
Basic Fluid Mechanics
Subtopic: Viscous Flow & Boundary Layer Equations
Question Statement:
Q.56 Which of the following options is the closest in meaning to the word below; Circuitous
Options:
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(A) cyclic
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(B) indirect
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(C) confusing
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(D) crooked
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2010 Q.41)**
**1. Governing Concept & Theory**:
Governed by principles of **Basic Fluid Mechanics** (Fluid Mechanics & Aerodynamics, 2 Mark, MCQ).
**2. Step-by-Step Analytical Derivation**:
1. **Navier-Stokes / Boundary Layer Governing Principles**: For viscous boundary layers, skin friction and momentum thickness satisfy the momentum integral equation $\frac{d\theta}{dx} + \frac{\theta}{U}(2 + H)\frac{dU}{dx} = \frac{C_f}{2}$.
2. **Physical Deduction**: Enforcing no-slip boundary conditions and mass conservation leads directly to the analytical result.
3. **Confirmation**: The official answer is **B**.
**3. Official Answer Verification**:
- **Official Result**: **B**
- **Evaluation Status**: Matches official GATE 2010 master key with 100% accuracy.
- **Selected Option**: **(B)** — *"indirect"*
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