In a two-dimensional, incompressible flow, the X axis component of the velocity is u=2 * X +a, with X in meters and the velocity in m/s. Determine the velocity field if u= v = 1 m/s at the coordinate origin (obtain the value of parameter a). Plot it in a domain (-0.5,0.5] * [-0.5,0.5) in meters. Obtain the stream function of for this velocity field, and plot it in the domain. Set a null value of the stream function at the coordinate origin. At the stagnation point of the flow, what value corresponds to the current function? Is the direction of flow fulfilled according to the value of the stream function between two lines of flow? In an irrotational flow the Bernoulli equation is satisfied throughout the field with the same constant. Verify if the field is irrotational, and calculate the pressure at the stagnation point if at the origin of coordinates it is 200 kPa. Does the result agree with how pressure varies across streamlines with curvature? Consider the fluid as air under standard conditions. Finally, it estimates the volumetric flow that circulates between the streamlines that pass through the origin of coordinates and the one that passes through the stagnation point. Consider a depth of 0.5 m in the domain