If it also equals zero, then yes, the mass of fluid inside is constant.īut if the vector field doesn't represent a fluid's velocity, it might mean something else. To make sure, you would need to compute the flux of fluid through that region of plane. There might be net fluid escaping or entering through that plane. If you just seal the "hole" with a flat plane, then, no, you cannot be sure yet that mass inside is constant. There is a "hole" on the bottom of the parabolic surface. I mean, what region? The surface is not closed. However, we cannot assume that the mass of fluid inside the region is unchanging yet. If the vector field is really velocity of fluid (I think it is in this problem), then the mass of fluid going into the "region" is exactly equal to the mass of fluid going out.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |