Question 1 Two opposing water streams are merged at the junction and the merged flow is heading into the direction perpendicular to the original flow as shown in the following figure. Z L The potential function of a flow field is, (x, y) = U(y - x), where the constant, U = 1 s-1, and, x, and, y, are in m. Gravity is acting perpendicular to the xy - plane. A narrow slit of height, L = 2 m is added at the origin to the flow field. Water is discharging at the rate of, V = 30 liter per second from the junction. a. Find the complex potential function, (z), of the flow field with slit discharging water from the junction. [3 marks] b. Locate the stagnation point in the flow field [11 marks] C. Determine the equation of streamline that passed through the stagnation point and the stream function value at the stagnation point. [5 marks] d. If an object is placed at x = 0.1 m and y = 0.1 m, will the object enter the narrow slit? [6 marks]