Journal of Advanced Materials and Technologies

Journal of Advanced Materials and Technologies

The Effect of Kernel on the prediction of Energy Distribution Function in a Heterogeneous Solid Adsorbent

Authors
M.R. Ghorbani 1
A. Haghighi Asl 2
A. Shahsavand 3
A. Ahmad Pour 3
1 MSc graduate from School of Chemical Gas and Petroleum Engineering, Semnan University
2 School of Chemical Gas and Petroleum Engineering, Semnan University, Semnan, I.R. IRAN
3 Department of Chemical Engineering, Ferdowsi University of Mashhad
10.30501/jamt.2012.129242
Abstract
In this article, the effect of different adsorption isotherms on the prediction of energy distribution function was considered. It is known that the adsorption integral equation has two parts, kernel (isotherm) and distribution function, in which the energy distribution function can be obtained from the solution of this equation. The important isotherms (kernels) such as Sips, Toth and Unilan were considered. The above isotherms have substituted in the integral equation as kernels and then by using the linear regularization method and inverse theory, the prediction of energy distribution function was performed. The results illustrated that the Sips isotherm have negative effect on the prediction of energy distribution function and the Toth isotherm has performed very well at high levels of stochastic errors. Also, the Unilan isotherm can predict the energy distribution function successfully in all cases.
 
Keywords
Adsorption isotherm
Linear Regularization
Energy distribution
Fredholm integral equation
Adsorption
Heterogeneous adsorbents

Subjects

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Journal of Advanced Materials and Technologies
Volume 1, Issue 1
Autumn 2012
Pages 69-78

  • Receive Date 22 February 2008
  • Revise Date 16 May 2012
  • Accept Date 09 January 2013