Luikov’s Analytical Solution with Complex Eigenvalues in Intensive Drying

Luikov’s equations of heat and mass transfer with pressure gradient have significant applications especially in the case of intensive drying in porous media. The established analytical solution of Luikov’s equations including pressure gradient effect in a complete form is presented in this work. The...

Full description

Saved in:
Bibliographic Details
Published in:Transport in porous media 2019-12, Vol.130 (3), p.923-946
Main Authors: Jayapragasam, Puvikkarasan, Le Bideau, Pasacal, Loulou, Tahar
Format: Article
Language:English
Subjects:
Barley
Civil Engineering
Classical and Continuum Physics
Drying
Earth and Environmental Science
Earth Sciences
Eigenvalues
Exact solutions
Geotechnical Engineering & Applied Earth Sciences
Heat transfer
Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Mass transfer
Porous media
Pressure effects
Roots
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Luikov’s equations of heat and mass transfer with pressure gradient have significant applications especially in the case of intensive drying in porous media. The established analytical solution of Luikov’s equations including pressure gradient effect in a complete form is presented in this work. The existence of complex roots in the analytical solution describing intensive drying with pressure gradient was overlooked in literature. A Matlab function capable of searching and sorting out the complex eigenvalues is also showcased. Three test cases are analyzed and compared with numerical solutions: one theoretical case to emphasize the importance of complex roots in analytical solution while two cases of drying process in ceramic and barley kernel to ensure practical applicability. Excellent matching between analytical and numerical results is noticed when complex eigenvalues are included.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-019-01348-1