Application of Response Surface Methodology
and Central Composite Rotatable Design for Modeling
and Optimization of Sulfuric Leaching
of Rutile Containing Slag and Ilmenite
1

Armin Abazarpoora,*, Mohammad Halalib,**,
Mahdi Maarefvand
c,***, and Hediyeh Khatibnczhadd,****

aDepartment of Materials Science and engineering, Sharif University of Technology, PhD student,
PO box 11365-11155 Tehran, Iran

bDepartrnent of Materials Science and engineering, Sharif University of Technology, Associated Professor,
PO box 11365-11155 Tehran, Iran

cMaterial engineering, Islamic Azad University of Karaj branch, MSc student, PO Box: 31485313, Karaj, Iran

dDepartment of Materials Science and engineering, Sharif University of Technology, MSc student,
PO box 11365-11155 Tehran, Iran

*e-mail: Abazarpoor@mehr.sharif.edu

**e-mail: halali@sharif.edu

***e-mail: engmahdi1@yahoo.com
****e-mail: Hediyeh_Khatibnezhad@yahoo.com

Abstract—In this study, application of the Response Surface Methodology and the Central Composite Design
(CCD) technique for modeling and optimization of the influence of several operating variables on titanium
recovery in a leaching process were investigated. The four main leaching parameters, namely temperature, acid
concentration, leaching time and solid to liquid ratio, were changed during-the leaching experiments based on
the CCD. A total of 30 leaching experiments were designed and carried out in the CCD method according to
software-based designed matrix. According to the results, i.e., titanium recoveries with these four parameters
as well as empirical model equations were developed. The model equations were then individually optimized
by using quadratic programming to maximize titanium recoveries for both ilmenite and slag within the exper-
imental range. The predicted values for titanium recoveries for both ilmenite and slag were found to be in a
reasonable agreement with the experimental values, with R2 as correlation factor being 0.963 and 0.916 for
ilmenite and slag, respectively.

Keywords: ilmenite, slag, leaching, response surface method, optimization

DOI: 10.3103/S1067821213050027


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