THE MODELING OF THE HARDENING KINETICS By Ph.D. Igor Bobin and Ph.D. Natalia Petrovskaya

Often in the metallurgy and coal industry, products and semi-products do not have the necessary strength. It takes time to harden them. Sometimes it takes a few minutes or many hours. These processes also can have delay. Therefore, studying the kinetics of hardening is an important task.
The most famous examples for metallurgists are pelletizing of iron ore or briquetting of coal and peat.  The kinetics of briquette hardening is shown in the figures 1 and 2.
We studied the kinetics of  briquettes hardening during drying under natural and artificial conditions.
As a result of this, Ph.D. Igor Bobin proposed his own operational formulas (1) and (2) of the first and second order for the practical modeling of hardening kinetics.

The formulas (1) and (2) provide accuracy and convenience. It does not require special skills and the purchase of special programs. A general program like MATLAB (registered trademark) is sufficient or other universal system of computer mathematics too. This is an important advantage of the approach.

Fig 1. The hardening kinetic curves obtained at the modeling by formulas
(1) - artificial desiccation and (2) - native desiccation. Time is presented in seconds.

Fig 2. The hardening kinetic curves obtained at the modeling by formulas

(1) - artificial desiccation and (2) - native desiccation. Time is presented in hours.

The Dr. I. Bobin's operational formulas of the hardening kinetics can be used in:
1. Metallurgy. When producing metals and alloys
2. Mining and metallurgy. At the pelletizing of iron ore and other products.
3. Mining and metallurgy. When manufacturing briquettes from coal, coke, anthracite, peat and gold, copper, nickel, manganese ore.
4. Mining. At the storage of tailings produced by extrusion.
5. Construction business. At the making products from concrete, cement, asphalt and other composite mixtures.
6. Chemical industry. At the production of granules from dry reagents.
7. Food industry. At the pelletizing of animal feeds.
8. Pharmaceutical industry. When making tablets.

Thus, Bobin's formulas can be used everywhere with success where a product (or semi-product) is obtained, which acquires strength over time.

Bobin's formulas provide very high accuracy of calculations when using MATLAB functions of numerical integration and it's almost free.

© Ph.D. Igor Bobin, Ph.D. Natalia Petrovskaya, 25-08-2017bobin.igor@yahoo.com