Biomedical Engineering / Rotary Blood Pump Head-Flow
FREE TO EXPLORE
LABORATORY 33 · BIOMEDICAL ENGINEERING

Centrifugal Continuous-Flow Rotary Blood Pump Head-Flow Characteristic

Determine the shut-off pressure head scaling constant k_N of a magnetically levitated continuous-flow rotary blood pump (LVAD) across operating speeds. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.

BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING

Your virtual biomedical engineering laboratory.

ZERO-FLOW SHUT-OFF HEAD H₀—
PHYSIOLOGICAL & TEST CELL TELEMETRY

Ready to sample with Speed N = 3.0 k-RPM.

3.0 k-RPM
Pump: Centrifugal rotary blood pump with MagLev impeller (Ø 36 mm)

Adjust Speed N, 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

Zero-flow shut-off testing evaluates the maximum static head; operational LVADs deliver 4 to 6 L/min where dynamic frictional losses reduce delivered head. Evaluated on a magnetically levitated continuous-flow centrifugal blood pump (impeller diameter 36 mm) circulating a blood-analog fluid (38% glycerol-water, density ρ = 1055 kg/m³, viscosity 3.6 cP at 37 °C). Speeds N = 2.0, 2.5, 3.0, 3.5, 4.0, 4.5 k-RPM correspond to N² = 4.00, 6.25, 9.00, 12.25, 16.00, 20.25 k-RPM². Shut-off head scaling constant k_N = 7.5000 mmHg/k-RPM².

Biomedical apparatus & physiological sensors.

Magnetically Levitated Centrifugal Blood Pump Cartridge

Features bearingless MagLev impeller (diameter 36 mm) driven by brushless DC stator coils.

Mock Circulatory Cardiovascular Test Loop

Provides compliant hydraulic flow circuit with precision pinch valve for zero-flow shut-off testing.

Dual High-Precision Differential Pressure Transducers

Measures pump inlet pressure P_in and outlet pressure P_out to determine pressure head H = P_out - P_in.

Ultrasonic Transit-Time Clamp-On Flowmeter (Transonic Systems)

Verifies true zero flow (Q = 0.00 L/min) during shut-off head measurements.

Optical Tachometer & Hall Sensor Speed Controller

Maintains closed-loop impeller rotational speed N within ±1 RPM of setpoint.

Thermostatically Controlled Glycerol-Water Reservoir (37.0 °C)

Maintains blood-analog fluid viscosity (3.6 cP) and density (1055 kg/m³).

FOLLOW THE METHOD

A reason behind every step.

Determine the shut-off pressure head scaling constant k_N of a magnetically levitated continuous-flow rotary blood pump (LVAD) across operating speeds. Standardized parameter settings: 2.0, 2.5, 3.0, 3.5, 4.0, 4.5 k-RPM.

01

Pump Cartridge Installation and Priming

Mount the centrifugal blood pump in the mock loop, prime with 38% glycerol blood-analog at 37.0 °C, and purge all microscopic air bubbles.

02

Magnetic Levitation and Rotor Calibration

Energize active magnetic levitation coils and verify central impeller suspension without mechanical housing contact.

03

Pressure Transducer Zeroing at Rest

With the pump stopped (N = 0 RPM), open cross-bypass to confirm equal inlet and outlet pressure, zeroing differential transducer to 0.00 mmHg.

04

Zero-Flow Shut-Off Head Initialization

Close the downstream outflow valve to establish zero volumetric flow (Q = 0.00 L/min), set impeller speed to N = 2.0 k-RPM (2000 RPM), and log shut-off head H_0.

05

Impeller Speed Progression Sequence

Increment rotor speed through 2.5, 3.0, 3.5, 4.0, and 4.5 k-RPM, recording stabilized shut-off pressure head H_0 at each speed step.

06

Euler Affinity Quadratic Regression Analysis

Plot shut-off head H_0 against N², determine pump scaling constant k_N via linear regression through the origin, and calculate maximum blade tip velocity.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into biomedical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Rotary Blood Pump Head-Flow mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
H₀ = k_N · N² = 7.5000 · N² (where N is in k-RPM = RPM/1000)
#Impeller Rotational Speed N (k-RPM)Zero-Flow Shut-Off Head H₀ (mmHg)Square of rotational speed N² (k-RPM²)Shut-off pressure head H₀ (mmHg)Remove

No readings yet. Execute a biomedical trial and record it.

Calculate it yourself.

CHECK YOUR UNDERSTANDING

Explain what the biomedical metrics mean.

According to turbomachinery affinity laws, how does centrifugal pump shut-off head H_0 scale with impeller speed N?

What is the primary clinical benefit of magnetic levitation (MagLev) in modern continuous-flow LVADs?

If impeller speed is N = 3.0 k-RPM (N² = 9.0 k-RPM²) and measured shut-off head is 67.50 mmHg, what is k_N?

What pathological hematological consequence occurs when high pump shear stresses degrade von Willebrand factor?