1- The x component of velocity in a steady, incompressible flow field in the xy plane is u= (A /x), where A-2m' s, and x is measured in meters. Find the simplest y component of velocity for this flow field.

1. Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. a) Is the flow field incompressible at all times? b) Compute the convective derivative of each velocity component: Du/Dt and Dv/Dt. c) By considering the velocity gradients, determine whether the fluid elements experience any deformation. What type(s) of deformation do they experience? d) Do the fluid elements experience angular rotation? Thus, state whether the flow field is rotational or irrotational. e) Given that the density of the fluid does not vary spatially and changes only with time, what differential equation for the density, p(t), must be satisfied for this scenario to represent a physical, compressible flow field? f) At time t = 0, the density everywhere is p = Po. Determine how the density changes with time, given the situation does represent a physical, compressible flow field.

A 2D velocity field is given by V = (u, v) = (2.5 - 1.9x, 0.65 + 0.9y), where the coordinates are in m and the velocity is in m/s. Find the volumetric strain rate (in s^(-1))

is this soultion of Q2 correct?