Flux of a vector field скачать в хорошем качестве

Flux of a vector field

Flux of a constant vector field through a flat surface. This flux is computed by taking a dot product between the vector field and the area vector associated with the surface. In the video I show two ways to think about this. (1) Think of the taking the component of the vector field that is perpendicular to the surface, and multiplying that by the area of the surface. (2) Think of taking the component of the area vector that is aligned with the vector field. This vector gives the area of the projection of the surface perpendicular to the velocity vectors, so the cross-sectional area that the vectors actually push through.