Precision Controlled-Stress Cone-and-Plate Rheometer
Applies controlled angular velocity and measures torque with micro-Newton-meter magnetic bearing.
Biomedical Engineering / Blood Rheology Casson Model
FREE TO EXPLORELABORATORY 27 · BIOMEDICAL ENGINEERING
Non-Newtonian Blood Rheology & Casson Fluid Model Cone-and-Plate Viscometry
Determine the Casson asymptotic plastic viscosity μ_c and yield stress τ_y of whole human blood across low-to-medium shear rates using cone-and-plate rheometry. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.
BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING
Your virtual biomedical engineering laboratory.
MEASURED SHEAR STRESS Τ—
PHYSIOLOGICAL & TEST CELL TELEMETRY
Ready to sample with Shear Rate γ̇ = 64.0 s⁻¹.
Adjust Shear Rate γ̇, then execute biomedical trial.
Biomedical engineering telemetry and physiological states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity biological and physiological modeling.
Biomedical assumptions and boundary condition limits
The Casson model is an empirical continuum approximation; it applies across 10 to 300 s⁻¹ but does not capture zero-shear viscoelasticity. Evaluated on anti-coagulated human whole blood (Hct = 45%, EDTA treated) at 37.0 °C in a titanium cone-and-plate rheometer (cone angle θ = 1.0°, diameter 60 mm). Standard shear rates γ̇ = 16, 36, 64, 100, 144, 196 s⁻¹ correspond to √γ̇ = 4, 6, 8, 10, 12, 14 s⁻⁰·⁵. Casson slope √μ_c = 0.0620 Pa⁰·⁵·s⁰·⁵ (asymptotic viscosity μ_c = 0.00384 Pa·s = 3.84 cP) with yield root √τ_y = 0.1800 Pa⁰·⁵ (yield stress τ_y = 0.0324 Pa).
Biomedical apparatus & physiological sensors.
Titanium Rheometer Cone (diameter 60 mm, cone angle 1.0°)
Generates strictly uniform shear rate γ̇ = ω / tan(θ) throughout the entire measurement fluid volume.
Peltier Thermoelectric Temperature Control Plate (37.0 ± 0.05 °C)
Maintains physiological temperature preventing blood viscosity thermal artifacts.
Anti-Evaporation Solvent Trap with Humidified Ring
Prevents plasma water evaporation and blood drying during multi-point shear sweeps.
Pre-Analytical Blood Roller Mixer
Maintains uniform erythrocyte resuspension prior to pipetting into the rheometer gap.
High-Precision Micro-Pipettor (500 μL)
Delivers exact sample volume (0.50 mL) to perfectly fill the cone-plate truncation gap.
FOLLOW THE METHOD
A reason behind every step.
Determine the Casson asymptotic plastic viscosity μ_c and yield stress τ_y of whole human blood across low-to-medium shear rates using cone-and-plate rheometry. Standardized parameter settings: 16.0, 36.0, 64.0, 100.0, 144.0, 196.0 s⁻¹.
01
Blood Specimen Resuspension and Hematocrit Verification
Mix EDTA-anticoagulated whole blood on roller mixer for 10 minutes; verify standard hematocrit (Hct = 45 ± 1%) via microhematocrit centrifuge.
02
Peltier Plate Thermal Stabilization
Set rheometer Peltier bottom plate to exactly 37.0 °C and allow 15 minutes for thermal equilibrium.
03
Zero Gap Calibration and Specimen Loading
Zero the normal force and calibrate the mechanical contact gap; pipette exactly 500 μL of blood onto the plate center and lower cone to truncation height (50 μm).
04
Solvent Trap Placement and High-Shear Preshear
Engage the humidified solvent trap and apply a 30-second preshear at 300 s⁻¹ to completely disperse pre-existing rouleaux aggregates.
05
Stepwise Shear Rate Sweep
Step through shear rates γ̇ = 16, 36, 64, 100, 144, and 196 s⁻¹, holding each step for 15 seconds to achieve steady torque before recording shear stress τ.
06
Casson Linearized Coordinate Regression
Compute √γ̇ and √τ, plot √τ versus √γ̇, and extract Casson asymptotic viscosity root √μ_c from the slope and yield stress root √τ_y from the y-intercept.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into biomedical engineering insight.
Points are your recorded observations. The solid regression line validates Blood Rheology Casson Model mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
√τ = √μ_c · √γ̇ + √τ_y = 0.0620 · √γ̇ + 0.1800
| # | Fluid Shear Rate γ̇ (s⁻¹) | Measured Shear Stress τ (Pa) | Square root of shear rate √γ̇ (s⁻⁰·⁵) | Square root of shear stress √τ (Pa⁰·⁵) | Remove |
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