Fluid Viscosity & Non-Newtonian Flow Calculator Back
Fluid Dynamics & CAE Material

Fluid Viscosity & Non-Newtonian Flow Calculator

Calculate viscosity, shear stress, and Reynolds number for Newtonian and non-Newtonian fluids (power-law, Bingham plastic) in real time. Compare temperature dependence and fluid types on interactive graphs.

Fluid Selection

Dynamic Viscosity μ1.00 mPa·s
Density ρ
kg/m³
Flow Velocity U
m/s
Characteristic Length L
m
Power-Law Exponent n
Results
Kinematic Viscosity ν
1.00e-6
m²/s
Reynolds Number Re
49,900
Flow state
Turbulent
τ @γ̇=100 s⁻¹
0.100
Pa
Flow
Theory & Key Formulas
$\tau = \mu \dot{\gamma}$ (Newtonian fluid)
$\tau = K\dot{\gamma}^n$ (power-law model)
$Re = \frac{\rho U L}{\mu} = \frac{UL}{\nu}$

💬 Explanation Dialog

🙋
Ketchup often does not flow at first, but then suddenly runs after you tap or shake the bottle. Is that also a non-Newtonian fluid?
🎓
Yes. Ketchup is a shear-thinning, or pseudoplastic, fluid: its apparent viscosity drops as shear rate increases. In a power-law model, that corresponds to n<1. Honey is close to a Newtonian fluid, so its viscosity stays nearly constant regardless of shear rate.
🙋
When solving the Navier-Stokes equations in CAE, water is convenient because μ is constant. Are non-Newtonian fluids like blood much harder?
🎓
Yes. If viscosity is constant, as in water, standard CFD can treat it as a steady incompressible Newtonian fluid. Blood often uses a Carreau-Yasuda model at low shear rates and approaches roughly 3.5 mPa·s at high shear rates. Non-Newtonian viscosity models like this are available in OpenFOAM, Fluent, and similar solvers.
🙋
I learned that flow becomes turbulent when the Reynolds number exceeds 2300. What does that actually mean?
🎓
Re=ρUL/μ is the ratio of inertial forces to viscous forces. A larger Re means inertia overwhelms viscous damping and the flow becomes unstable. In pipe flow, Re<2300 is usually laminar, 2300 to 4000 is transitional, and Re>4000 is turbulent. Turbulence improves heat transfer and mixing, but greatly increases flow resistance.

Frequently Asked Questions

Q. What is 1 centipoise (cP)?
A. cP (centipoise) is an older unit of viscosity, where 1 cP = 1 mPa·s = 0.001 Pa·s. Since water at 20°C is about 1 cP, it can be used intuitively as a relative value to water. Engine oil ranges from tens to hundreds of cP, while honey ranges from 2,000 to 10,000 cP.
Q. What types of viscometers are available?
A. Capillary viscometers (Ubbelohde type), falling-ball viscometers, rotational viscometers (Brookfield, etc.), and vibrational viscometers. Rotational viscometers (rheometers) are used to measure flow curves of non-Newtonian fluids. For CAE material data, rotational rheometer measurements over a range of shear rates are standard.
Q. Why is viscosity important in injection molding and extrusion?
A. Polymer melts are pseudoplastic fluids. Calculating flow velocity distribution and pressure drop in molds and extrusion dies requires temperature- and shear-rate-dependent viscosity models (e.g., Cross-WLF). In CAE filling analysis (Moldflow, Cadmould, etc.), this viscosity data is the most critical material property.
Q. What is the relationship between y+ and viscosity?
A. y+ = ρu_τy/μ (u_τ: friction velocity, y: distance from wall) is the dimensionless distance of near-wall mesh. It is used for turbulent wall function applicability (y+ > 30) and LES/DNS (y+ ≈ 1). Higher viscosity μ reduces y+ for the same mesh, making it easier to resolve the viscous sublayer for high-viscosity fluids.

What is Fluid Viscosity?

Fluid Viscosity is a fundamental topic in engineering and applied physics. This interactive simulator lets you explore the key behaviors and relationships by directly manipulating parameters and observing real-time results.

By combining numerical computation with visual feedback, the simulator bridges the gap between abstract theory and physical intuition — making it an effective learning tool for students and a rapid-verification tool for practicing engineers.

Physical Model & Key Equations

The simulator is based on the governing equations behind Fluid Viscosity & Non-Newtonian Flow Calculator. Understanding these equations is key to interpreting the results correctly.

Each parameter in the equations corresponds to a slider in the control panel. Moving a slider changes the equation's solution in real time, helping you build a direct connection between mathematical expressions and physical behavior.

Real-World Applications

Engineering Design: The concepts behind Fluid Viscosity & Non-Newtonian Flow Calculator are applied across mechanical, structural, electrical, and fluid engineering disciplines. This tool provides a quick way to estimate design parameters and sensitivity before committing to full CAE analysis.

Education & Research: Widely used in engineering curricula to connect theory with numerical computation. Also serves as a first-pass validation tool in research settings.

CAE Workflow Integration: Before running finite element (FEM) or computational fluid dynamics (CFD) simulations, engineers use simplified models like this to establish physical scale, identify dominant parameters, and define realistic boundary conditions.

Common Misconceptions and Points of Caution

Model assumptions: The mathematical model used here relies on simplifying assumptions such as linearity, homogeneity, and isotropy. Always verify that your real system satisfies these assumptions before applying results directly to design decisions.

Units and scale: Many calculation errors arise from unit conversion mistakes or order-of-magnitude errors. Pay close attention to the units shown next to each parameter input.

Validating results: Always sanity-check simulator output against physical intuition or hand calculations. If a result seems unexpected, review your input parameters or verify with an independent method.

Practical Viscosity Data Table (at 20°C)

FluidDensity ρ (kg/m³)Dynamic Viscosity μ (Pa·s)Kinematic Viscosity ν (m²/s)Fluid Type
Air1.21.81×10⁻⁵1.51×10⁻⁵Newtonian Fluid
Water (20°C)9981.00×10⁻³1.00×10⁻⁶Newtonian Fluid
Water (60°C)9834.67×10⁻⁴4.75×10⁻⁷Newtonian Fluid
Ethanol7891.20×10⁻³1.52×10⁻⁶Newtonian Fluid
Engine Oil (SAE 10W-40)8701.00×10⁻¹1.15×10⁻⁴Newtonian Fluid
Glycerin12601.491.18×10⁻³Newtonian Fluid
Honey14002 to 10about 7×10⁻³Newtonian Fluid
Blood (whole blood)10603 to 4×10⁻³about 3.5×10⁻⁶Non-Newtonian (Shear-thinning)
Paint (Water-based)12000.5 to 5Non-Newtonian (Thixotropic)
Cornstarch Solution1050highly variableNon-Newtonian (Shear-thickening)

Note: Values for non-Newtonian fluids are reference values and can vary greatly with shear rate, temperature, and concentration.

Physical Meaning and Critical Values of Reynolds Number

Re RangeFlow StateTypical Examples
Re < 2300LaminarCapillary Blood Flow / Small Pipe Flow
2300 ≤ Re ≤ 4000TransitionalGeneral Industrial Pipe Medium Flow
Re > 4000TurbulentWater Supply / AC Duct / External Flow
Re > 10⁶Fully Developed Turbulent FlowAircraft Wing / Large Ship External Flow

Note: The critical Reynolds number in a circular pipe is approximately Re_cr ≈ 2300, near the upper limit for applying the Hagen-Poiseuille law.

Industrial Applications of Power-Law Fluids

Material / FluidExponent nK (Pa·sⁿ)Applications
Dilute Polymer Solution0.5 to 0.80.1 to 1Cosmetics / Shampoo
Blood0.7 to 0.80.004Medical Simulation
Carbopol Gel0.6 to 0.71 to 10Pharmaceuticals / Paints
Cornstarch Suspension1.2 to 2.010 to 100Food Processing
Mud / Clay Slurry0.3 to 0.51 to 50Civil Engineering / Drilling Mud

Note: n < 1 indicates pseudoplastic shear-thinning behavior, n = 1 indicates Newtonian behavior, and n > 1 indicates dilatant shear-thickening behavior.