Agricultural Engineering / Sprinkler Christiansen Uniformity
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LABORATORY 18 · AGRICULTURAL ENGINEERING

Agricultural Impact Sprinkler Christiansen Uniformity Coefficient (CU) Catch-Can Analysis

Determine the radial water distribution profile, Christiansen Uniformity Coefficient (CU), and overlapping pattern efficiency of an agricultural impact sprinkler nozzle across varying operating pressures. Explore interactive farm machinery simulation, irrigation hydraulics, and agricultural engineering telemetry.

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

Your virtual agricultural engineering laboratory.

CHRISTIANSEN UNIFORMITY COEFFICIENT CU—
FIELD & TEST CELL TELEMETRY

Ready to sample with Pressure P = 250.0 kPa.

250.0 kPa
Nozzle diameter: 4.8 mm

Adjust Pressure P, 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

Indoor tests eliminate wind drift and atmospheric evaporative droplet losses occurring in open fields. Evaluated using a single 4.8 mm brass agricultural impact sprinkler mounted on a 1.2 m riser in zero-wind indoor catch-can grid with 12 m × 12 m simulated overlap.

Agricultural apparatus & field instrumentation sensors.

Agricultural Impact Sprinkler (4.8 mm Nozzle)

Standard brass agricultural impact sprinkler with 23° trajectory angle and drive vane.

Indoor Catch-Can Matrix Array (100 Cans)

Graduated catch cans spaced on a 1.5 m × 1.5 m grid over a 15 m radius.

Booster Pump & Electronic Pressure Regulator

Supplies regulated water pressure from 150 to 400 kPa with digital readout.

Calibrated Graduated Measuring Cylinders

Measures water depth caught in each catch can with 0.5 mL precision.

Electronic In-Line Turbine Flowmeter

Records total sprinkler discharge rate Q (L/min) with 0.1 L/min accuracy.

Ultrasonic Droplet Velocity Sensor

Monitors jet breakup distance and droplet exit velocity.

FOLLOW THE METHOD

A reason behind every step.

Determine the radial water distribution profile, Christiansen Uniformity Coefficient (CU), and overlapping pattern efficiency of an agricultural impact sprinkler nozzle across varying operating pressures. Standardized parameter settings: 150.0, 200.0, 250.0, 300.0, 350.0, 400.0 kPa.

01

Catch-Can Grid Siting & Leveling

Lay out the catch cans in a square 1.5 m × 1.5 m matrix across the indoor test hall, ensuring all can rims sit level and at uniform elevation.

02

Riser Mounting & Pressure Set

Mount the impact sprinkler on the central 1.2 m vertical riser, setting the pressure regulator to initial low pressure P = 150.0 kPa.

03

Timed Test Precipitation Run

Start the sprinkler pump and allow the sprinkler to rotate continuously for exactly 30.0 minutes, distributing water across the catch-can grid.

04

Can Volumetric Auditing

Measure and record the depth of water caught in each can X_i (mm), computing the mean depth X_bar and the mean absolute deviation Σ|X_i - X_bar| / n.

05

Christiansen CU Computation

Simulate a 12 m × 12 m overlapping sprinkler layout and calculate the Christiansen Uniformity Coefficient CU = 100·[1 - Σ|X_i - X_bar| / (n·X_bar)].

06

Pressure Stepping

Repeat the procedure at 200, 250, 300, 350, and 400 kPa, plotting CU versus pressure to extract the sensitivity slope s_p.

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 Sprinkler Christiansen Uniformity mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
CU = s_p · P + CU_0 = 0.0550 · P + 64.0000
#Sprinkler Operating Pressure P (kPa)Christiansen Uniformity Coefficient CU (%)Operating pressure P (kPa)Christiansen Uniformity CU (%)Remove

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

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CHECK YOUR UNDERSTANDING

Explain what the agricultural metrics mean.

What is the minimum Christiansen Uniformity Coefficient (CU) considered acceptable for commercial agricultural sprinkler systems?

What water distribution profile is produced by an impact sprinkler operating at severely sub-optimal low pressure?

If 100 cans have an average depth of 10.0 mm and the sum of absolute deviations is 150 mm, what is CU?

To achieve high uniformity in solid-set sprinkler systems, adjacent sprinklers must: