Journal ArticleDOI
A pseudo-similarity solution to the integro-differential equation of batch grinding
V.K. Gupta,P.C. Kapur +1 more
TLDR
In this paper, a solution to the integro-differential equation of batch grinding has been presented which maps the trajectory of particle size spectra of continuous size and time domains.About:
This article is published in Powder Technology.The article was published on 1975-09-01. It has received 13 citations till now. The article focuses on the topics: Similarity solution & Grinding.read more
Citations
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Journal ArticleDOI
An Exact Solution of the Fragmentation Equation
TL;DR: In this paper, the accuracy of the self-similarity assumption employed in the study of the grinding equation is examined in detail and a new model for the Randolph-Ranjan model of breakup is introduced.
Journal ArticleDOI
Energy-size reduction «laws» revisited
TL;DR: In this paper, a new derivation of the energy-size reduction relationship is presented by combining a similarity solution to the integrodifferential equation of grinding with an empirical correlation between breakage rate function and power draft to the mill.
Journal ArticleDOI
Characterization of intermetallic Fe–Mn–Si powders produced by casting and mechanical ball milling
TL;DR: In this article, four compositions of mechanically milled Fe-Mn-Si master alloy powders were investigated, and the particle size distribution and milling kinetics were determined, and parameters in breakage function have been determined.
Journal ArticleDOI
Energetic approach to kinetics of batch ball milling
A.S Kheifets,I.J. Lin +1 more
TL;DR: In this article, an energy-scaled model of milling kinetics is proposed to express with respect to energy instead of time, which is applicable to various processes taking place in a mill (size reduction, mechanochemical transformation, etc.).
Journal ArticleDOI
Influence of non-linear breakage kinetics on the attainment of self-similarity for dry milling processes
TL;DR: In this paper, the authors investigated the dynamics and attainment of a self-similar particle size distribution (PSD) considering first-order (LTINV-PBM), non-uniform nonlinear, and uniform non-linear breakage kinetics.
References
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Journal ArticleDOI
On the Distribution of the Sizes of Particles which Undergo Splitting
TL;DR: In this paper, the authors investigated the asymptotic behavior of the distribution of the sizes of particles which undergo splitting and showed that the probability of splitting is proportional to the n-th power of the mass of each particle.
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Self-preserving size spectra of comminuted particles
TL;DR: In this paper, three pertinent aspects associated with grinding of brittle solids, namely, grinding kinetics, particle-size distributions and energy-size reduction relationships have been unified in the framework of a phenomenological model of particle size reduction.