EC > GATE 2024 > Vector Calculus
Let $ρ(x,y,z,t)$ and $u(x,y,z,t)$ represent density and velocity, respectively, at a point $(x,y,z)$ and time t.
Assume $\frac{∂ρ}{∂t}$ is continuous. Let V be an arbitrary volume in space enclosed by the closed surface S and $n̂$ be the outward unit normal of S.
Which of the following equations is/are equivalent to $\frac{∂ρ}{∂t}+∇⋅(ρu)=0$?
Assume $\frac{∂ρ}{∂t}$ is continuous. Let V be an arbitrary volume in space enclosed by the closed surface S and $n̂$ be the outward unit normal of S.
Which of the following equations is/are equivalent to $\frac{∂ρ}{∂t}+∇⋅(ρu)=0$?
Correct : A;C
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