Chapter 2, Problem 23P

Consider the velocity field of Problem 2.18. Plot the streakline formed by particles that passed through the point (1, 1) during the interval from t = 0 to t = 3 s. Compare with the streamlines plotted through the same point at the instants t = 0, 1, and 2 s.

2.18 Consider the flow described by the velocity field $\stackrel{\to }{V}=Bx\left(1+At\right)\hat{i}+Cy\hat{j}$, with A = 0.5 s⁻¹ and B = C = 1 s⁻¹. Coordinates are measured in meters. Plot the pathline traced out by the particle that passes through the point (1, 1) at time t = 0. Compare with the streamlines plotted through the same point at the instants t = 0, 1, and 2 s.