Power-Law Fluid Rheology

Plot shear stress, apparent viscosity, and generalized Reynolds number for a non-Newtonian power-law fluid.

visual calculatorPorous Media & Rheology

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

input scale

model

check

non-Newtonianpower-law fluidrheologyviscosity

formula

KaTeX rendered

\begin{aligned}\text{tau = K gamma\_dot\^{}n}\\[0.35em]\text{mu\_app = K gamma\_dot\^{}(n-1)}\end{aligned}

ASCII source

tau = K gamma_dot^n, mu_app = K gamma_dot^(n-1)

K (Pa s^n)power index nshear rate (1/s)rho (kg/m3)U (m/s)L (m)

tau (Pa)

8.9787

mu_app (Pa s)

0.08979

generalized Re

183.504

behavior

shear-thinning

Power-law fluids need local shear-rate-dependent viscosity; this tool gives a quick scale before solver setup.

non-Newtonian power-law fluid rheology viscosity