Reconciliation of size–density bivariate distributions over a separating node--颗粒学报PARTICUOLOGY

Venkoba Rao, B., Ganvir, V., & Gopalakrishna, S. J. (2008). Reconciliation of size–density bivariate distributions over a separating node. Particuology, 6(3), 167–175. https://doi.org/10.1016/j.partic.2008.03.002

Reconciliation of size–density bivariate distributions over a separating node

Bidarahalli Venkoba Rao ^a *, Vivek Ganvir ^b, Sirigeri Jois Gopalakrishna ^c

a Engineering and Industrial Services, Tata Consultancy Services Limited 1, Mangaldas Road, Pune 411001, India
b Tata Research Development and Design Centre, Tata Consultancy Services Limited 54B, Hadapsar Industrial Estate, Pune 411013, India
c Department of Mineral Processing, Post Graduate Center, Sandur, Karnataka 583119, India

10.1016/j.partic.2008.03.002

Volume 6, Issue 3, June 2008, Pages 167-175

Received 25 October 2007, Accepted 25 March 2008, Available online 15 May 2008.

E-mail: b.vrao@tcs.com

Highlights

Abstract

Data reconciliation considers the restoration of mass balance among the noise prone measured data by way of component adjustments for the various particle size or particle density classes or assays over the separating node. In this paper, the method of Lagrange multipliers has been extended to balance bivariate feed and product size–density distributions of coal particles split from a settling column. The settling suspension in the column was split into two product fractions at 40% height from the bottom after a minute settling of homogenized suspension at start. Reconciliation of data assists to estimate solid flow split of particles to the settled stream as well as helps to calculate the profiles of partition curves of the marginal particle size or particle density distributions. In general, Lagrange multiplier method with uniform weighting of its components may not guarantee a smooth partition surface and thus the reconciled data needs further refinement to establish the nature of the surface. In order to overcome this difficulty, a simple alternative method of reconciling bivariate size–density data using partition surface concept is explored in this paper.

Graphical abstract

Keywords

Data reconciliation; Size–density partition surface; Settling test

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