Determine the speed of a fluid particle at the origin and at a point (1,-2,0) for each of the following velocity fields when t = 2s. All distances are in meters and t is in seconds.
V = (x+2)i + xtj - zk m/s
V x dr = 0
dV/dt = u(dV/dx) + v(dV/dy) + w(dV/dz) + dV/dt
The Attempt at a Solution
Started with trying to:
dx/dt = x+2 ==> dx/(x+2) = dt
dy/dt = xt ==> dy/x = tdt
This is as far as I have gotten, my textbook doesn't give a single example when dealing with 3-dimensional vector fields and my professor doesn't give any clarification on this program in his notes nor has he given any examples based on 3-dimensional problems or a vector field problem in general.