Convective diffusion and adsorption in a swarm of spheroidal particles

Coutelieris, Frank A.; Burganos, Vasilis N.; Payatakes, A. C.

doi:10.1002/aic.690410508

Cited by 21 publications

(13 citation statements)

References 25 publications

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“…For bodies in an elliptic shape Payne et al (1986), Elvira (1990), Haghighi et al (1990), Lu and Siebenmorgen (1992), Sarker et al (1994), Lima (1999) and Lima and Nebra (2000) can be mentioned. Besides these studies, and the work of Keltner (1973), Sheen and Hayakawa (1992), Coutelieris et al (1995), Feng a nd Michaelides (1997), Alassar (1999), Igathinathane and Chattopadhyay (2000), Carmo (2000), Carmo andLima (2000, 2001), Oliveira and Lima (2001), and Lima et al (2002a-b) can also be mentioned. Payne et al (1986) present a solution of the heat conduction equation for an irregular border using the Galerkin method with an equilibrium boundary condition at the surface of the solid.…”

Section: Introductionmentioning

confidence: 99%

Mass transport in spheroids using the Galerkin method

Lima

Farias

Lima

2004

Braz. J. Chem. Eng.

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-This work presents an analytical modelling of mass transfer in spheroidal solids using a liquid diffusion model. The diffusion equation, written in cylindrical coordinates, is solved using the Galerkin method with a constant diffusion coefficient and an equilibrium boundary condition at the surface of the solid. Results on the drying kinetics, and moisture content distribution in the solids are presented and analysed. The iso-concentration lines for moisture content show that the drying process is faster in sharp areas,. It was verified that solids with a larger area/volume ratio dry faster. The results obtained are consistent so the model presented can be used to solve diffusion problems such as drying, wetting, heating and cooling of solids with a shape that varies from a circular disk to an infinite cylinder, including a sphere and ellipsoids.

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Section: Introductionmentioning

confidence: 99%

Mass transport in spheroids using the Galerkin method

Lima

Farias

Lima

2004

Braz. J. Chem. Eng.

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“…5a and 5b was proposed by Coutelieris et al (1995) to ensure the continuity of the concentration on the outer boundary of the cell for any Peclet number. Equations 5c and 5d express the axial symmetry that has been assumed for the system.…”

Section: Theorymentioning

confidence: 99%

Model of adsorption–reaction–desorption in a swarm of spheroidal particles

2004

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“…Due to the complexity of the 3D-flow around ellipsoids of revolution (Geissler, 1974;Rosenfeld et al, 1992), it is very difficult to obtain the gradient velocity and concentration at the fluid-particle interface outside the body, so the mass transfer rate is usually expressed in terms of the overall mass transfer coefficient (Strumillo and Kudra, 1986;Saravacos, 1995). As a result, as an approach the mean convective mass transfer coefficient on the surface of a spheroid can be obtained using either of the following methods: a) agreement between the predicted and experimental data using, for example, the least squares error technique (Queiroz, 1994;Carmo, 2004;Carmo and Lima, 2005) or b) empirical and theoretical mathematical correlations (Lochiel and Calderbank, 1964;Masliyah and Epstein, 1972;Clift et al, 1978;Coutelieris et al, 1995;Feng and Michaelides, 1997).…”

Section: Analytical Proceduresmentioning

confidence: 99%

Mass transfer inside oblate spheroidal solids: modelling and simulation

Carmo

Lima

2008

Braz. J. Chem. Eng.

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-A numerical solution of the unsteady diffusion equation describing mass transfer inside oblate spheroids, considering a constant diffusion coefficient and the convective boundary condition, is presented. The diffusion equation written in the oblate spheroidal coordinate system was used for a two-dimensional case. The finite-volume method was employed to discretize the basic equation. The linear equation set was solved iteratively using the Gauss-Seidel method. As applications, the effects of the Fourier number, the Biot number and the aspect ratio of the body on the drying rate and moisture content during the process are presented. To validate the methodology, results obtained in this work are compared with analytical results of the moisture content encountered in the literature and good agreement was obtained. The results show that the model is consistent and it may be used to solve cases such as those that include disks and spheres and/or those with variable properties with small modifications.

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Convective diffusion and adsorption in a swarm of spheroidal particles

Cited by 21 publications

References 25 publications

Mass transport in spheroids using the Galerkin method

Mass transport in spheroids using the Galerkin method

Model of adsorption–reaction–desorption in a swarm of spheroidal particles

Mass transfer inside oblate spheroidal solids: modelling and simulation

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