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Knowledge card
Powell–Eyring Stress Terms
Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory
Symbol
The shear-thinning viscous diffusion and nonlinear retardation stresses that make the fluid non-Newtonian.
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In words:minus.
Equation Workspace
Set known values, calculate unknowns, inspect dependencies, and run numerical solves.
Calculator
Equation Workspace
Set known values, calculate unknowns, inspect dependencies, and run numerical solves.
Equation workspace
Set the values you know, then calculate the remaining quantities in Powell–Eyring Stress Terms.
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Domain Analysis
Unit status, dimensional trails, per-step checks, and custom unit expressions.
Try your own — the unit calculator
Ever wondered whether a formula “adds up”? This tool answers one plain question: do the units match? Pick a couple of quantities (distance, time, a speed…), join them with ×, ÷, +, or =, and press Run. It works out the resulting unit — for example distance ÷ time gives a speed, LT⁻¹ (metres per second) — and flags anything that can’t be right, like adding a length to a time.
Reads as: τ
“τ” is analysed by expanding its full defining equation (its children and their relations), not as a bare symbol. Use Check this concept’s units above for the same result.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Mathematical Analysis
Object type, lawful operations, conditions, comparisons, and derivation-step checks.
Dimension I
Definition
What it is — and what it is not
- What it is
- S1The non-Newtonian stress contribution of the Powell–Eyring model in the momentum equation.
- Wisdoms
- S2It encodes shear-thinning: apparent viscosity falls as the shear rate rises.
- Attributes
- S3A linear viscous diffusion plus a nonlinear retardation.
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.