Determination of Phase-Eigenvalues by Rational Factorization and Enhanced Simulation of Two-Phase Mass Flow

Authors

  • Puskar R. Pokhrel School of Science, Kathmandu University, Dhulikhel, Kavre, Nepal
  • Bhadra Man Tuladhar School of Science, Kathmandu University, Dhulikhel, Kavre, Nepal

DOI:

https://doi.org/10.3126/jnms.v2i2.33011

Keywords:

Debris flows, Exact eigenvalues, Phase-eigenvalues, Rational factorization, Simulation, Phase-interaction

Abstract

In this paper, we present simple and exact eigenvalues for both the solid- and fluid-phases of the real two-phase general model developed by Pudasaini (2012); we call these phase-eigenvalues, the solid- phase-eigenvalues and the fluid-phase-eigenvalues. Results are compared by applying the derived phase- eigenvalues that incorporate the phase-interactions in the two-phase debris movements against the simple and classical solid and fluid eigenvalues without any phase interaction. We have constructed several different set of eigenvalues including the coupled phase eigenvalues by using rational factorization method. At first, we consider for general debris height; factorizing the solid and fluid lateral pressure contributions by considering the negligible pressure gradient; negligible solid lateral pressure; negligible fluid lateral pressure; negligible solid and fluid lateral pressure. Secondly, for a thin debris ow height, we also construct the fourth set of eigenvalues in three different cases. These phase-eigenvalues incorporate strong interaction between the solid and fluid dynamics. The simulation results are produced by taking all these different sets of coupled phase-eigenvalues and are compared with the classical uncoupled set of solid and fluid eigenvalues. The results indicate the importance of phase-eigenvalues and supports for a complete description of the phase- eigenvalues for the enhanced description of real two-phase debris flows and landslide motions.

Downloads

Download data is not yet available.
Abstract
16
PDF
38

Author Biographies

Puskar R. Pokhrel, School of Science, Kathmandu University, Dhulikhel, Kavre, Nepal

Department of Mathematics and Department of Mathematics, RR Campus, Tribhuvan University, Kathmandu, Nepal

Bhadra Man Tuladhar, School of Science, Kathmandu University, Dhulikhel, Kavre, Nepal

Department of Mathematics

Downloads

Published

2019-12-02

How to Cite

Pokhrel, P. R., & Tuladhar, B. M. (2019). Determination of Phase-Eigenvalues by Rational Factorization and Enhanced Simulation of Two-Phase Mass Flow. Journal of Nepal Mathematical Society, 2(2), 61–77. https://doi.org/10.3126/jnms.v2i2.33011

Issue

Section

Articles