A steady-state, incompressible two-dimensional velocity field (u,v) is given by the following components in the xy-plane
u = 0.2 + 1.3x + 0.85y
v = -0.5 + 0.95x – 1.3y
(a) Sketch the velocity field in the xy-plane between -5 < x < 5 and -5 < y < 5.
(b) Calculate the acceleration field (find expressions for the substantial time derivative components Du/Dt and Dv/Dt).
(c) Calculate the acceleration at the point (x,y) = (1,2).