Consider the flow field represented by the velocity potentialφ=Ax+Bx2−By2, whereA= 1 m/s, B= 1 s−1, and the coordinates are measured in meters. Obtain expressions forthe velocity field and the stream function. Using water as the working fluid, calculate thepressure difference between the origin and the point (x, y) = (1,2). What is the volume flowrate (per unit depth) between streamlines passing through these two points?