On analytical solutions of a two-phase mass flow model

DOI10.1016/j.nonrwa.2017.09.009zbMath1444.76123OpenAlexW2770150091MaRDI QIDQ1698373

Sayonita Ghosh Hajra, Santosh Kandel, Shiva P. Pudasaini

Publication date: 15 February 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.09.009

zbMATH Keywords

analytical solutionsLie symmetrydebris flowtwo-phase mass

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Granular flows (76T25) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (3)

Lie symmetry analysis for two-phase flow with mass transfer ⋮ The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term ⋮ Analytical solutions to a nonlinear diffusion-advection equation

Uses Software

• r.avaflow

Cites Work

• New integrability case for the Riccati equation
• Important aspects in the formulation of solid-fluid debris-flow models. I: Thermodynamic implications
• Important aspects in the formulation of solid-fluid debris-flow models. II: Constitutive modelling
• The similarity forms and invariant solutions of two-layer shallow-water equations
• Long-wave equation with free boundaries. I. Conservation laws and solution
• New further integrability cases for the Riccati equation
• Lie group analysis of gravity currents
• A two-fluid model for avalanche and debris flows
• Symmetries and differential equations
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