## THERMAL SCIENCE

International Scientific Journal

### A DYE REMOVAL MODEL WITH A FUZZY INITIAL CONDITION

**ABSTRACT**

A fuzzy model for dye removal is suggested to study a transport model of the direct textile industry wastewater, and the variational iteration method is adopted to obtain its analytical solutions. The concentration depends upon not only the parameters in the governing equation, but also the pair of the initial condition.

**KEYWORDS**

PAPER SUBMITTED: 2015-09-10

PAPER REVISED: 2016-02-01

PAPER ACCEPTED: 2016-02-01

PUBLISHED ONLINE: 2016-08-13

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Issue 3**, PAGES [867 - 870]

- Ardejani, F. D., et al., Numerical Modelling and Laboratory Studies on the Removal of Direct Red 23 and Direct Red 80 Dyes from Textile Effluents Using Orange Peel, A Low-Cost Adsorbent, Dyes and Pigments, 73 (2007), 2, pp. 178-185
- Garaje, S. N., et al., Template-Free Synthesis of Nanostructured Cdxzn1-Xs with Tunable Band Structure for H-2 Production and Organic Dye Degradation Using Solar Light, Environmental Science & Technology, 47 (2013), 12, pp. 6664-6672
- Gupta, V. K., Suhas, P., Application of Low-Cost Adsorbents for Dye Removal – A Review, Journal of Environmental Management, 90 (2009), 8, pp. 2313-2342
- Khaled, A., et al., Removal of Direct N Blue-106 from Artificial Textile Dye Effluent Using Activated Carbon from Orange Peel: Adsorption Isotherm and Kinetic Studies, Journal of Hazardous Materials, 165 (2009), 1-3, pp. 100-110
- Sinha, A. K., et al., Large-Scale Solid-State Synthesis of Sn-SnO2 Nanoparticles from Layered SnO by Sunlight: A Material for Dye Degradation in Water by Photocatalytic Reaction, Environmental Science & Technology, 47 (2013), 5, pp. 2339-2345
- He, J.-H., Some Asymptotic Methods for Strongly Nonlinear Equations, International Journal of Modern Physics B, 20 (2006), 10, pp. 1141-1199
- He, J.-H., Wu, X. H., Variational Iteration Method: New Development and Applications, Computers & Mathematics with Applications, 54 (2007), 7-8, pp. 881-894
- Wu, G. C., Laplace Transform Overcoming Principle Draw backs in Application of the Variational Iteration Method to Fractional Heat Equations, Thermal Science, 16 (2012), 4, pp. 1257-1261
- Yang, X. J., Baleanu, D., Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method, Thermal Science, 17 (2013), 2, pp. 625-628
- Allahviranloo, T., et al., Solving Nonlinear Fuzzy Differential Equations by Using Fuzzy Variational Iteration Method, Soft Computing, 18 (2014), 11, pp. 2191-2200
- Allahviranloo, T., et al., The Exact Solutions of Fuzzy Wave-Like Equations with Variable Coefficients by a Variational Iteration Method, Applied Soft Computing, 11 (2011), 2, pp. 2186-2192
- Jafari, H., et al., The Variational Iteration Method for Solving N-th Order Fuzzy Differential Equations, Central European Journal of Physics, 10 (2012), 1, pp. 76-85
- Khodadadi, E., Celik, E., The Variational Iteration Method for Fuzzy Fractional Differential Equations with Uncertainty, Fixed Point Theory and Applications, 13 (2013), Dec., pp. 1-7
- Matinfar, M., et al., Numerical Solution of Linear Fuzzy Volterra Integro-Differential Equations by Variational Iteration Method, Journal of Intelligent & Fuzzy Systems, 24 (2013), 3, pp. 575-586
- Narayanamoorthy, S., Murugan, K., A Numerical Algorithm and a Variational Iteration Technique for Solving Higher Order Fuzzy Integro-Differential Equations, Fundamenta Informaticae, 133 (2014), 4, pp. 421-431