Agricultural Engineering / Thin-Layer Drying Kinetics
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LABORATORY 22 · AGRICULTURAL ENGINEERING

Thin-Layer Forced-Air Grain Drying Kinetics & Page Empirical Model Evaluation

Investigate the forced-air thin-layer drying kinetics of agricultural cereal grain, determine moisture ratio decay over time, and evaluate Page model drying parameters. Explore interactive farm machinery simulation, irrigation hydraulics, and agricultural engineering telemetry.

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

Your virtual agricultural engineering laboratory.

DOUBLE LOGARITHM LN(-LN(MR))—
FIELD & TEST CELL TELEMETRY

Ready to sample with ln(Time t) = 3.4012 ln(min).

3.4012 ln(min)
Air temperature: 50.0°C

Adjust ln(Time t), 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

Page's model is purely empirical; its parameters n_p and k_p do not directly represent fundamental physical transport properties like Fickian diffusivity. Evaluated using rough paddy rice (initial moisture 24.5% d.b., equilibrium moisture 9.2% d.b.) dried under forced air at 50°C and 1.2 m/s face velocity.

Agricultural apparatus & field instrumentation sensors.

Laboratory Thin-Layer Drying Wind Tunnel

Insulated aerodynamic duct delivering precisely controlled temperature, velocity, and humidity.

Continuous Electronic Strain-Gauge Balance

Suspends the grain tray inside the air duct, recording mass loss every 10 seconds without stopping airflow.

PID-Controlled Electric Air Heater

Maintains drying air temperature at exactly 50.0°C within ±0.2°C precision.

Perforated Mesh Monolayer Grain Tray

Holds a single layer of grain kernels (300 g) with 85% open mesh area for unrestricted airflow.

Hot-Wire Duct Anemometer

Measures face air velocity entering the grain layer with 0.05 m/s precision.

Chilled-Mirror Relative Humidity Transmitter

Logs drying air psychrometric properties at the test section inlet.

FOLLOW THE METHOD

A reason behind every step.

Investigate the forced-air thin-layer drying kinetics of agricultural cereal grain, determine moisture ratio decay over time, and evaluate Page model drying parameters. Standardized parameter settings: 2.3026, 2.7081, 3.2189, 3.6889, 4.0943, 4.4998 ln(min).

01

Drying Tunnel Warm-Up & Stabilization

Turn on the tunnel blower and PID heater, setting airflow to 1.2 m/s and air temperature to 50.0°C, allowing the empty duct to reach steady thermal equilibrium for 20 minutes.

02

Initial Moisture & Tare Setup

Determine initial grain moisture content M_0 via rapid moisture tester (24.5% d.b.). Tare the suspended perforated tray on the continuous balance.

03

Monolayer Grain Loading

Evenly spread 300.0 g of moist paddy rice in a single kernel layer across the tray, immediately inserting it into the drying air stream and zeroing the timer at t = 0.

04

Continuous Mass Loss Acquisition

Log instantaneous tray mass m(t) at 10, 15, 25, 40, 60, and 90 minutes as moisture evaporates into the conditioned air stream.

05

Moisture Ratio Transformation

Convert instantaneous mass into dry-basis moisture M_t, calculate Moisture Ratio MR = (M_t - M_e) / (M_0 - M_e), and compute the double logarithm ln[-ln(MR)].

06

Page Model Regression

Plot ln[-ln(MR)] against ln(t), perform linear regression, and extract Page's drying exponent n_p and drying rate constant k_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 Thin-Layer Drying Kinetics mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
ln(-ln(MR)) = n_p · ln(t) + ln(k_p) = 1.2500 · ln(t) - 4.5000
#Logarithm of Drying Time ln(t) (ln(min))Double Logarithm ln(-ln(MR)) (transformed)ln(Drying time t in min)ln(-ln(Moisture ratio MR))Remove

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

Calculate it yourself.

CHECK YOUR UNDERSTANDING

Explain what the agricultural metrics mean.

What drying stage characterizes virtually the entire drying cycle of cereal grains?

In the Moisture Ratio equation MR = (M_t - M_e) / (M_0 - M_e), what is the value of MR at t = 0?

Why is 'tempering' widely practiced in commercial paddy and corn drying?

If drying air temperature is increased from 40°C to 60°C, how does drying rate respond?