1. Do the velocity field u = xi + y(1 + t)j and density distribution ρ = z + ρ 0 represent a flow that is physically possible? 2. The velocity field for a flow is given by where C is a constant. The...

1. Do the velocity field u = xi + y(1 + t)j and density distribution ρ = z + ρ₀
represent a flow that is physically possible?

2. The velocity field for a flow is given by

where C is a constant. The density distribution is ρ = A(x²
+ y²) + ρ₀
, where A and ρ₀
are constants. Is this flow physically possible?