To evaluate the wind dynamics on a hill as shown, you are asked to study the flow in 2D using Euler's equations in coordinates natural. These represent equations of flow dynamics in a coordinate system which coincides with the direction of the current line () and its direction ().

Where is the normal component of the mass force field, and is the radius of curvature.

a) Describe the assumptions that allow establishing this model to represent the flow dynamics.

b) If the radius of curvature of the streamlines in the vertical section passing through point (1) decreases exponentially:

Find the magnitude of the pressure at point (1), on the surface of the hill. c) Determine the value of velocity at point (1).

2) If the velocity field in three dimensions can be described as:

where is a positive constant. Answer:

a) Is the fluid compressible? b) Is the fluid rotational? c) Does it comply with the conservation of momentum?