Agricultural Engineering / Centrifugal Pump Curves
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LABORATORY 16 · AGRICULTURAL ENGINEERING

Agricultural Centrifugal Irrigation Pump Characteristic Performance Curves (H-Q, η)

Determine the head-discharge (H-Q), brake power, and overall efficiency characteristic curves of an agricultural centrifugal pump and verify affinity affinity laws across speeds. Explore interactive farm machinery simulation, irrigation hydraulics, and agricultural engineering telemetry.

FARM MACHINERY · SOIL & WATER · POST-HARVEST · STRUCTURES

Your virtual agricultural engineering laboratory.

SHUTOFF TOTAL DYNAMIC HEAD H_0—
FIELD & TEST CELL TELEMETRY

Ready to sample with (N/1000)² = 2.56 (k-rpm)².

2.56 (k-rpm)²
Impeller diameter: 160 mm

Adjust (N/1000)², then execute agricultural trial.

Agricultural engineering telemetry and biosystems 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 agricultural and environmental modeling.

Agricultural assumptions and boundary condition limits

Affinity laws assume identical internal fluid streamlines and neglect Reynolds number viscosity changes at low speeds. Evaluated using a single-stage end-suction centrifugal pump (impeller diameter D = 160 mm) pumping clean water across speeds from 1000 to 2400 RPM.

Agricultural apparatus & field instrumentation sensors.

Agricultural Centrifugal Pump Test Station

Single-stage end-suction volute pump with transparent acrylic suction and discharge sections.

Variable-Frequency Three-Phase Electric Motor

Regulates pump rotational speed from 1000 to 2400 RPM with 1.0 RPM digital control.

Suction Vacuum Gauge & Discharge Pressure Transducer

Measures suction head h_s (-kPa) and discharge head h_d (kPa) to calculate total dynamic head.

Electromagnetic Flowmeter & Throttle Gate Valve

Measures discharge Q (L/s) while the downstream throttle valve regulates operating point.

In-Line Shaft Reaction Torquemeter & Optical Tachometer

Measures pump input shaft torque and rotational speed for brake horsepower calculation.

Digital Hydraulic Telemetry Console

Logs pressures, flow, torque, power, and computes real-time pump efficiency η.

FOLLOW THE METHOD

A reason behind every step.

Determine the head-discharge (H-Q), brake power, and overall efficiency characteristic curves of an agricultural centrifugal pump and verify affinity affinity laws across speeds. Standardized parameter settings: 1.0, 1.69, 2.56, 3.61, 4.84, 5.76 (k-rpm)².

01

Pump Priming & Sensor Zeroing

Fill the suction line and pump volute casing with water, bleeding all air through the top vent valve until no bubbles emerge. Zero all pressure transducers at static equilibrium.

02

Initial Speed Setting

Set variable-frequency motor drive to N = 1000 RPM ((N/1000)² = 1.00), leaving the discharge throttle valve fully closed to establish the shutoff point.

03

Shutoff Head Measurement

Record suction vacuum and discharge gauge pressure at zero flow (Q = 0) and compute total shutoff dynamic head H_0 = (P_d - P_s)/(ρ·g) + Δz.

04

H-Q Characteristic Curve Run

At 1750 RPM, systematically open the discharge valve in eight increments from shutoff (Q = 0) to maximum discharge, recording H, Q, shaft power P, and efficiency η.

05

Speed Affinity Stepping

Return throttle valve to shutoff and increment pump speed across five additional stages: 1300, 1600, 1900, 2200, and 2400 RPM, recording H_0 for each speed.

06

Affinity Scaling Regression

Plot shutoff head H_0 against normalized speed squared (N/1000)², perform linear regression through the origin, and determine affinity constant k_N.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into agricultural engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Centrifugal Pump Curves mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
H_0 = k_N · (N / 1000)² = 8.2000 · (N / 1000)²
#Normalized Pump Speed Squared (N / 1000)² ((k-rpm)²)Shutoff Total Dynamic Head H_0 (m)Normalized speed squared (N/1000)²Shutoff head H_0 (m)Remove

No readings yet. Execute an agricultural trial and record it.

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CHECK YOUR UNDERSTANDING

Explain what the agricultural metrics mean.

If a centrifugal pump running at 1200 RPM delivers a head of 10 m, what head will it deliver at 2400 RPM according to affinity laws?

What destructive physical phenomenon occurs when absolute pressure in the pump suction drops below water vapor pressure?

If pump shaft torque is 25 N·m at 1750 RPM (183.26 rad/s) and hydraulic power is 3.5 kW, what is the pump efficiency?

Why is a foot valve installed at the bottom of an irrigation pump suction pipe?