Consider a steady two-dimensional flow with the velocity field in the Cartesian coordinate system is given by u = -Ax and v = Ay, where A is a constant. Obtain the equation for a streamline and the equation for a streamfunction of the two-dimensional flow. What is the acceleration vector at (x.y) = (1,1)?

4. Consider the steady, two-dimensional velocity field given by: u = 2xy-y²; v=x-y². Show that it is a possible 2d incompressible flow. Find the component of acceleration in x direction of a fluid particle at point (x, y) = (1,2)

Homework What is the third velocity component such that continuity equation is satisfied if two components are u = 1. 2y2, w = 2хyz ? 2. Consider the following steady, two-dimensional, incompressible velocity field V = (Ax? + B)i + (-Ay + Cx²)j where A, B, and C are constants. Calculate the pressure as a function of x and y.