Consider steady, two-dimensional, incompressible flow over a non-porous flat
plate as shown in the figure. For the control volume PQRS, the speed, uஶ, at
section PQ is uniform and the speed at section RS is given by u(y) = A ቀ
௬
ቁ
,
where n is a positive integer. The value of A for which the flow through section
PS will vanish is:
u 0( )
n
yu y A h
h
Options:
(A) uஶ
n + 1
(B) uஶ(n + 1)
(C) uஶ
n - 1
(D) uஶ(n - 1)
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.16)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Incompressible & Compressible Aerodynamics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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