Taylor scraping flow polish, cream, butter, honey, etc.,), it is essential to consider this case. The analysis was carried out by J. Riedler and Wilhelm Schneider in 1983 and they were able to obtain self-similar solutions for power-law fluids satisfying the relation for the apparent viscosity where formula_41 and formula_42 are constants. The solution for the streamfunction of the flow created by the plate moving towards right is given by where and where formula_46 is the root of formula_47. It can be verified that this solution reduces to that of Taylor's for Newtonian fluids, i.e., when formula_48. Taylor scraping flow In fluid dynamics,
Incompressible flow Incompressible flow In fluid mechanics or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density is constant within a fluid parcel—an infinitesimal volume that moves with the flow velocity. An equivalent statement that implies incompressibility is that the divergence of the flow velocity is zero (see the derivation below, which illustrates why these conditions are equivalent). Incompressible flow does not imply that the fluid itself is incompressible. It is shown in the derivation below that (under the right conditions) even compressible fluids can – to a good approximation – be modelled as