Search results
Results From The WOW.Com Content Network
A Newtonian fluid is a power-law fluid with a behaviour index of 1, where the shear stress is directly proportional to the shear rate: = These fluids have a constant viscosity, μ, across all shear rates and include many of the most common fluids, such as water, most aqueous solutions, oils, corn syrup, glycerine, air and other gases.
At low shear rate (˙ /) a Carreau fluid behaves as a Newtonian fluid with viscosity .At intermediate shear rates (˙ /), a Carreau fluid behaves as a Power-law fluid.At high shear rate, which depends on the power index and the infinite shear-rate viscosity , a Carreau fluid behaves as a Newtonian fluid again with viscosity .
In blue a Newtonian fluid compared to the dilatant and the pseudoplastic, angle depends on the viscosity. The power law model is used to display the behavior of Newtonian and non-Newtonian fluids and measures shear stress as a function of strain rate.
The distributions of a wide variety of physical, biological, and human-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of craters on the moon and of solar flares, [2] cloud sizes, [3] the foraging pattern of various species, [4] the sizes of activity patterns of neuronal populations, [5] the frequencies of words in most languages ...
Non-Newtonian fluid – Fluid whose viscosity varies with the amount of force/stress applied to it; Power-law fluid – Type of generalized Newtonian fluid; Bingham plastic – Material which is solid at low stress but becomes viscous at high stress; Rheology – Study of the flow of matter, primarily in a fluid state
In fluid dynamics, a Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the Cross Power Law equation: (˙) = + + (˙)where (˙) is viscosity as a function of shear rate, is the infinite-shear-rate viscosity, is the zero-shear-rate viscosity, is the time constant, and is the shear-thinning index.
A generalized Newtonian fluid is an idealized fluid for which the shear stress is a function of shear rate at the particular time, but not dependent upon the history of deformation. Although this type of fluid is non-Newtonian (i.e. non-linear) in nature, its constitutive equation is a generalised form of the Newtonian fluid.
A first-order fluid is another name for a power-law fluid with exponential dependence of viscosity on temperature. (˙,) = ˙ where γ̇ is the shear rate, T is temperature and μ 0, n and b are coefficients.