Which of the equations suit this model?
A. ∂∂t∭VρdV+∬sρV⃗ .dS→=0
B. DDt∭VρdV=0
C. ∂ρ∂t+∇.(ρV⃗ )=0
D. DρDt+ρ∇.V⃗ =0
Answer:A
Which of the equations suit this model?
A. ∂∂t∭VρdV+∬sρV⃗ .dS→=0 B. DDt∭VρdV=0 C. ∂ρ∂t+∇.(ρV⃗ )=0 D. DρDt+ρ∇.V⃗ =0
Explanation: The diagram represents infinitesimally small fluid element fixed in space. This model will give conservative differential equation which is ∂ρ∂t+∇.(ρV⃗ )=0 from the options.