Bond´s work index estimation using non-standard ball mills

• Autorzy: Arellano-Piña Ramón , Sanchez-Ramirez Elvia Angélica , Pérez-Garibay Roberto , Gutiérrez-Pérez V.H.

Identyfikatory

DOI

10.37190/ppmp/172458

• Języki publikacji: EN

Abstrakty

EN

Ore concentrators seek the stability of processes by feeding blends of rocks with average hardness and ore content. Therefore, large amounts of samples must be characterized in a short time. The Bond Work Index (𝑊𝑖) is a common technique for the estimation of hardness and energy requirement for comminution using ball mills. However, this technique is time-consuming (close to 5 hours) and liable to experimental errors. This work contributes to obtaining new models for rapid Bond Work Index estimation using non-standard dimensions mills. This was done by proposing grinding tests using four types of ores and four mills of different dimensions, including the standard Bond ball mill (BBM). For all tests it was kept constant: (a) critical speed (91%), and (b) mill charge by volume (10.5%), varying the amount of fresh feed according to its density. The results showed that using the non-standard mills (between 20 and 35 cm in diameter), the Bond´s model constants (𝛼=0.23; 𝛽= 0.82, and 𝛾= 44.5), are unable to predict the Work Index properly. Therefore, these constants must be recalculated using linear models based on mill diameter. With the models proposed for 𝛼, 𝛽, and 𝛾, the Bond Work Index (kWh/t) can be rapidly estimated (less than 2 hours) and show a high accuracy for mills of non-standard dimensions (R2= 0.96).

Słowa kluczowe

EN

Bond´s Work Index; rocks grinding; laboratory scale ball mills; ore characterization; non-standard ball mills

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Physicochemical Problems of Mineral Processing
• Rocznik: 2023
• Tom: Vol. 59, iss. 6
• Strony: art. no. 172458
• Opis fizyczny: Bibliogr. 24 poz., fot., tab., wykr.

Twórcy

autor

Arellano-Piña Ramón

• Instituto Politécnico Nacional. Departamento de Ingeniería Metalúrgica UPIIZ-Zacatecas. C.P. 98160, Zacatecas, México

autor

Sanchez-Ramirez Elvia Angélica

• Instituto Politécnico Nacional. Departamento de Ingeniería Metalúrgica UPIIZ-Zacatecas. C.P. 98160, Zacatecas, México

autor

Pérez-Garibay Roberto

• Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional. Industria Metalúrgica 1062. Parque Industrial Ramos Arizpe‒Saltillo. C.P. 25900, Ramos Arizpe, Coahuila, México

autor

Gutiérrez-Pérez V.H.

• Instituto Politécnico Nacional. Departamento de Ingeniería Metalúrgica UPIIZ-Zacatecas. C.P. 98160, Zacatecas, México

Bibliografia

• AHMADI, R. AND SHAHSAVARI, S., 2009. Procedure for determination of ball Bond work index in the commercial operations. Minerals Engineering 22(1), 104-106.
• AUSTIN, L. G., 1971. A review introduction to the mathematical description of grinding as a rate process. Powder Technol. (5), 1-17.
• AUSTIN, L. G., AND LUCKIE, P.T., 1971. Methods for determination of breakage distribution parameters. Powder Technology (5),: 45-52.
• BOND, F. C., 1952. The Third Theory of Comminution. Transactions on AIME Mining Engineering, 484-494.
• BOND, F.C., 1961. Crushing and grinding calculations. Allis Chalmers Publications , No. 07R9235B.
• CHAKRABARTI, D.M., 2013. Simple approach to estimation of work index. Mineral Processing and Extractive Metallurgy, 83-89.
• CHARLES, R. J., 1957. Energy-Size Reduction Relationships in Comminution. Transactions on AIME Mining Engineering (208), 80-88.
• CHITALOV, VLADISLAV VALEREVICH LVOV AND LEONID SERGEEVICH., 2019. Comparison of the different ways of the ball bond work index determining. International Journal of Mechanical Engineering and Technology (IJMET), 1180-1194.
• F., KICK., 1885. Das gesetz der proportionalen widerstände und seine anwendungen: Nebst versuchen über das verhalten verschiedener materialien bei gleichen presse als dem schlagwerk. Michigan: University of Michigan Library.
• GARCÍA, G. G., OLIVA, J., GUASCH, E., ANTICOI, H., COELLO-VELÁZQUEZ, A. L., AND MENÉNDEZ-AGUADO, J.M., 2021. Variability study of Bond work index and grindability index on various critical metal ores. Metals, 1-11.
• HERBST, J.A., AND FUERSTENAU, D.W., 1980. Scale-up procedure for continuous grinding mill design using population balance models. Int. J. Miner. Process. (7), 1-31.
• LIRA, B.B., AND KAVETSKY, K.A., 1990. Applications of a new model-based method of ball mill simulation and design. Minerals Engineering (3), 149-163:
• LYNCH, A., 1977. Mineral Crushing and Grinding Circuits: Their Simulation, Optimisation, Desing and Control. Amsterdam: Elsevier Scientific Publishing ,.
• MAGDALINOVIC, N., 1989. A procedure for rapid determination of the Bond work index. International Journal of mineral processing, (27), 125-132.
• MAKHIJA, D., AND MUKHERJEE, A.K., 2016. Effect of undersize misplacement on produc size distribution of Bond´s ball mill test. Mineral Processing and Extractive Metallurgy, 117-125.
• MENÉNDEZ-AGUADO, J. M., COELLO-VELÁZQUEZ, A. L., DZIOBA B. R., AND RODRIGUEZ DIAZ M.A., 2013. Process models for simulation of Bond tests. Mineral Processing and Extractive Metallurgy, 85-90.
• MOSHER J.B., AND TAGUE C.B., 2001. Conduct and precision of Bond grindability testing. Minerals Engineering (14), 1187-1197.
• NAPIER-MUNN, T.J., MORRELL, S., MORRISON, R.D., AND KOJOVIC, T., 1999. Mineral Comminution Circuits Their Operation and Optimisation. Brisbane: Julius Kruttschnitt Mineral Research Centre.
• NIKOLIC, V. AND TRUMIC, M., 2021. A new approach to the calculation of bond work index for finer samples. Minerals Engineering (165), 106858.
• OZKAHRAMAN, H. T., 2005. A meaningful expression between bond work index, grindability index and friability value." Minerals Engineering, 1057-1059.
• RITTINGER, P. R., 1987. Lehrbuch der Aufbereitungskunde. Forgotten Books.
• TAVARES, L.M., CARVALHO, R.M., 2007. Impact work index prediction from continuum damage model." Minerals Engineering, 1368–1375.
• TODOROVIC, D., TRUMIC, M., ANDRIC, L., MINOSEVIC, V., TRUMIC, M., 2017. A quick method for Bond work index approximate value determination. Physicochem. Probl. Miner. Process. 53(1), 321-332.
• WILLS, B. A., 2015. Wills´ Mineral processing technology: An introduction to the practical aspects of ore treatment and mineral recovery. Oxford, UK: Butterworth-Heinemann.