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Carreau-Yasuda Non-Newtonian Shear-Thinning Viscosity Calculator

The Carreau-Yasuda model smoothly captures polymer rheology from low-shear entanglement plateaus to high-shear molecular alignment and disentanglement.

Calculated Result
153.44 Pa·s

Apparent Viscosity η(γ̇)

Shear Thinning Ratio (η / η0)

15.3%

Weissenberg Number (Wi = λ·γ̇)

25.00

Calculation Breakdown

  1. Apply Carreau model formulation η = η∞ + (η0 - η∞) · [1 + (λ·γ̇)²]^((n - 1)/2)η = 10 + (1000 - 10) * [1 + (2.5 * 10)²]^(-0.300) = 153.44 Pa·s

Flow Curve: Apparent Viscosity vs Shear Rate

Interactive visualization based on your current inputs

Pa·s
0.02424847269680.1 s⁻¹1.0 s⁻¹10 s⁻¹100 s⁻¹1000 s⁻¹Shear Rate (s⁻¹)Viscosity (Pa·s)

What Is the Carreau-Yasuda Non-Newtonian Shear-Thinning Viscosity Calculator?

The Carreau-Yasuda model smoothly captures polymer rheology from low-shear entanglement plateaus to high-shear molecular alignment and disentanglement.

How Does the Carreau-Yasuda Non-Newtonian Shear-Thinning Viscosity Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Carreau-Yasuda Non-Newtonian Shear-Thinning Viscosity Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\eta(\dot{\gamma}) = \eta_\infty + (\eta_0 - \eta_\infty) \left[ 1 + (\lambda \dot{\gamma})^2 \right]^{\frac{n - 1}{2}}

At shear rates below 1/λ, viscosity remains constant at η0; at higher rates, entangled chains untangle and align, decreasing apparent viscosity.

How to Use the Carreau-Yasuda Non-Newtonian Shear-Thinning Viscosity Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Polypropylene Melt Extrusion

Input Values:

zeroShearViscosityPaS:1000
infiniteShearViscosityPaS:10
relaxationTimeSeconds:2.5
powerLawIndexN:0.4
shearRatePerSec:10

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Model parameter a is fixed at 2 (standard Carreau equation).

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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