The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 28-246
Full Name: Damelys Zabala
Position: Ph.D. Candidate
Age: ON
Sex: Female
Address: Universidad de Carabobo, Facultad de Ingenieria, Escuela Ing. mecanica, Valencia, Estado Carabobo
Country: VENEZUELA
Tel: 4124973232
Tel prefix: 58
Fax: 2418672814
E-mail address: dzabala@uc.edu.ve
Other E-mails: zabarey7@yahoo.com
Title of the Paper: Fully implicit moving boundary model with liquid phase perfect mixing for CO2 diffusion into n-decane
Authors as they appear in the Paper: Damelys Zabala, Aura L. López de Ramos
Email addresses of all the authors: dzabala@uc.edu.ve, alopez@usb.ve
Number of paper pages: 10
Abstract: Carbon dioxide diffusion into n-decane inside cylindrical and square glass capillary tubes has been modeled [1,2], with two different models for each tube and the convective model for the square tube depended on the results of the cylindrical one. For those models, the liquid phase density was always considered constant and its value was adjusted from the experimental data of gas-liquid interface position. This approach was done using the diffusivities obtained by correlations which modify the infinite dilution diffusion coefficient using a thermodynamical factor. Now, the liquid phase density is considered variable on time with perfect mixing inside the phase and an effective diffusivity can be determined. This effective diffusivity involves the molecular and convective contributions to the global mass transfer. Both interface displacements (inside cilyndrical and square tubes) can be modeled using the same model without dependency between their results. The term!
s inside the finite difference matrix for the liquid phase are not constant, because they depend on the solute concentration and on the liquid density then an iterative calculation for the matrix coefficients must be done in each timestep. A partially implicit model considers this iterative calculation keeping the liquid density value for the previous time (j). A fully implicit model considers this iterative calculation keeping the liquid density value for the present time (j+1). It was showed that the model results, adjusted to the experimental interface position values, predicted effective diffusivities which are variable on time. The simulation time (76 min) for the fully implict numerical model is higher than the simulation time (62 min) for the partially implicit numerical model. It was found that the type of numerical solution scheme affects the results (up to 5% deviation) for the square capillary model but it doesn´t change the cilindrical capillary model resu!
lts.
Keywords: Capillary tube, Free boundary, Mass transfer, Numerical modeling, Diffusion
EXTENSION of the file: .pdf
Special (Invited) Session: Variable density moving boundary model for CO2 diffusion into liquid n-decane
Organizer of the Session: 598-215
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