In summary, the conversation discusses an example of fluid mechanics and a problem statement involving a two-dimensional jet of water impacting an inclined plate. The equations for the continuity equation and generalized Bernoulli equation without a machine are provided. The conversation then focuses on the equation for the quantity movement in the x-axis, where a frictionless condition is assumed and the equation becomes dimensionally inconsistent. The speaker expresses confusion about the equation and its relationship to the size of h, the height of the jet.
The momentum of stream 1 can be resolved into components normal and tangential to the plane. Since the force of the plane on the water is normal to the plane (neglecting viscous friction), the normal component of the momentum from stream 1 is balanced by the normal force F. The momentum component of the stream 1 tangent to the plane is balanced by the momentum of tangential streams streams 2 and 3; this provides a basis for determining the thicknesses of streams 2 and 3.