unsteady flow

Consider a unidirectional fluid flow with the velocity field given by V(𝑥, 𝑦, 𝑧, 𝑡) = 𝑢(𝑥, 𝑡) 𝑖̂ where 𝑢(0,𝑡) = 1. If the spatially homogeneous density field varies with...

A rigid tank of volume of 8 m 3 is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacua...