Modelling and Simulation of a Packed Bed of Pulp Fibers Using Mixed Collocation Method | Zendy

Ishfaq Ahmad Ganaie | Zendy; Shelly Arora | Zendy; V. K. Kukreja | Zendy

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Modelling and Simulation of a Packed Bed of Pulp Fibers Using Mixed Collocation Method

Author(s) -

Ishfaq Ahmad Ganaie,

Shelly Arora,

V. K. Kukreja

Publication year - 2013

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2013/875298

Subject(s) - mathematics , orthogonal collocation , chebyshev filter , packed bed , péclet number , collocation (remote sensing) , range (aeronautics) , collocation method , chebyshev polynomials , convergence (economics) , mathematical optimization , dispersion (optics) , polynomial , algorithm , mathematical analysis , computer science , mechanics , materials science , chromatography , chemistry , composite material , ordinary differential equation , physics , machine learning , economic growth , economics , differential equation , optics

A convenient computational approach for solving mathematical model related to diffusion dispersion during flow through packed bed is presented. The algorithm is based on the mixed collocation method. The method is particularly useful for solving stiff system arising in chemical and process engineering. The convergence of the method is found to be of order 2 using the roots of shifted Chebyshev polynomial. Model is verified using the literature data. This method has provided a convenient check on the accuracy of the results for wide range of parameters, namely, Peclet numbers. Breakthrough curves are plotted to check the effect of Peclet number on average and exit solute concentrations

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