Consider the following statements related to concept of continuity equation and the concept of control volume in deriving equation. 1. Continuity equation relates velocity component and density of the fluid at a point in a fluid flow. 2. Continuity equation assumes that no void occurs in the fluid and fluid mass is neither created nor destroyed 3. The shape of control volume for deriving the equation of continuity is assumed to be a parallelepiped 4. For incompressible fluids, the equation of continuity does not contain the viscosity terms. Which of these statements are correct?
- A1, 2, 3 and 4Correct
- BBoth 1 and 2
- C2, 3 and 4
- DBoth 1 and 4
Solution
Concept
Continuity equation
Formula
∂ρ/∂t + ∇·(ρV) = 0
Step-by-step solution
1. All four statements are correct.
Explanation
Continuity relates velocity and density, assumes mass conservation and a parallelepiped control volume, and does not contain viscosity.
Why the other options are wrong
Partial options omit correct statements.
Shortcut
All four.
Correct answer: A) 1, 2, 3 and 4