Consider a compressible flow where an elemental volume of the fluid is , moving with velocity
V
. Which one of the following expressions is TRUE?
Options:
(A) 1 DV Dt
(B) 1() DV Dt
(C) 1DV D
Dt Dt
(D) 1() DVV Dt
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.12)**
**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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