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@article{143844,
        author = {Varun Sogani and Pranjal Somani and Nalin Singla and Rishabh Mathur},
        title = {Population Balance in Ball Mill },
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {3},
        number = {2},
        pages = {207-212},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=143844},
        abstract = {Grinding using ball mill is one of the important step in powder processing industry. The ball mill is based on the principle of impact size reduction and due to so many variables and parameters being involved, scale-up and predictive models are difficult to formulate which can give accurate results. Population balance concept provides a useful framework describing and solving powder size distributions and other mill operating parameters. In this work, we have used the breakage function and selection function model approach to simulate the output size distribution using the experimentally determined mill parameters and input size distribution and compared the results to actual output in our pilot plant. The model is descriptive rather than predictive but it is demonstrated that it can be used for designing ball mill within acceptable error limits.},
        keywords = {Wi is the mass fraction of material in ith size class 
Si is the selection function for ith class
bij is the breakage function from j to i class
t is the time
p is product matrix representing product fractions 
M is the milling matrix 
f is feed matrix representing feed size distribution 
B is max. ball diameter
f80 is 80% of mill feed size passing in micron
W is bond’s work index of f80 
S is specific gravity of feed
Cs is % critical speed
D is effective mill diameter 
K is a constant
U = Ball Loading
W = weight of balls
ρ = bulk density of balls
D = Diameter of mill
L = Length of mill},
        month = {},
        }