García-Ros G., Alhama I., Cánovas, M., "On the Characterization of Non-Linear Diffusion Equations. An Application in Soil Mechanics," WSEAS Transactions on Heat and Mass Transfer, vol. 12, pp. 72-77, 2017, DOI:
García-Ros G., Alhama I., Cánovas, M.. On the Characterization of Non-Linear Diffusion Equations. An Application in Soil Mechanics.
WSEAS Transactions on Heat and Mass Transfer. 2017;12:72-77.
WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 12, 2017
On the Characterization of Non-Linear Diffusion Equations. An Application in Soil Mechanics
Authors: , , ,
Abstract: The search of dimensionless groups in engineering problems ruled by partial differential equations presents many problems whereby it is an untreated topic in the scientific literature. The main difficulties arise in the suitable choice of the reference quantities needed to define the dimensionless variables which must also be normalized, i.e., extended to the range of values (0,1). After setting the steps for a correct nondimensionalization protocol in this kind of problems, its application is illustrated by studying the soil consolidation problem, a process in which the constitutive dependences between the physical parameters and the dependent variables are strongly non-linear. Results are verified by numerical simulations.
Pages: 72-77 WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 12, 2017, Art. #9 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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