Fluid Kinematics Example

A two-dimensional flow field representing cooling air moving through an electronics rack is defined by u = (0.15x) m/s and v=(1.5+0.4t) m/s where x and y are in meters and t is in seconds. A small tracer particle passes through the point (1,2) when t=0. Determine the particle position (x,y), when t=3s This is a 2D fluid kinematic problem that turns into two separable differential equations, both with one initial condition.