Near the stagnation point of a body the flow field is given by u = ax, v = -ay, a = constant, where u, v are the velocity components in the x, y directions respectively (see figure). At time t = 0 a lump of fluid (which is dyed red) is located at x x,, y = yo. Determine the equation of the trajectory of this lump of fluid in the x-y plane. Calculate the acceleration experienced by this fluid element. 小

Near the stagnation point of a body the flow field is given by u = ax, v = -ay, a = constant, where u, v are the velocity components in the x, y directions respectively (see figure). At time t = 0 a lump of fluid (which is dyed red) is located at x x,, y = yo. Determine the equation of the trajectory of this lump of fluid in the x-y plane. Calculate the acceleration experienced by this fluid element. 小