If a variety $V$ contains all algebras derived by hypersubstitutions, then it is called {\it solid}. If the only derived algebras obtained from an algebra $\mathcal A$ in $V$ are those isomorphic to $\mathcal A$, then the variety $V$ is called {\it fluid}. We generalize this concept to the concepts of $n$-fluid, weakly fluid and $\aleph_0$-fluid varieties, prove some general properties and determine all $n$-fluid varieties of bands.