Rheological Parameter Analysis in Generalized Bulk Mixture Mass Flow Model

  • Puskar R Pokhrel Department of Mathematics, Ratna Rajya Laxmi Campus, Tribhuvan University
  • Parameshwari Kattel Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University
  • Khim B Khattri Department of Mathematics, School of Science, Kathmandu University
  • Jeevan Kafle Central Department of Mathematics, Tribhuvan University, Kathmandu
Keywords: Rheological parameter analysis, Mixture mass ow model, Velocities and pressures, densities, Velocity and pressure drifts

Abstract

Pokhrel et al. recently developed a generalized quasi two-phase bulk mixture model for mass flow. This model has been constructed by employing full dimensional two-phase mass flow model equations. The model is a set of coupled partial differential equations which is characterized by some new mechanical and dynamical aspects of generalized bulk and shear viscosities, pressure, velocities and effective friction for the mixture where all these are evolving as functions of several dynamical variables, physical parameters, inertial and dynamical coefficients and drift factors. They formulated pressure and rate-dependent Coulumbviscoplastic rheology of the mixture mass flow to describe the model equation. Rheological behavior of the flow dynamics affects the whole dynamics of mixture mass flow. So, in this paper, the relations of mixture pressure and viscosity with respect to pressure drifts and solid volume fractions are studied to describe the rheological behavior of the generalized bulk mixture mass flow model. Moreover, the behaviour of mixture viscosities with respect to isotrophic drifts are also analyzed. We also present the simulation result for the time evolution of the drift induced full dynamical mixture pressure of the material exited from a silo gate that moves down slope along a channel.

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Abstract
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Published
2020-12-31
How to Cite
Pokhrel, P., Kattel, P., Khattri, K., & Kafle, J. (2020). Rheological Parameter Analysis in Generalized Bulk Mixture Mass Flow Model. The Nepali Mathematical Sciences Report, 37(1-2), 71-79. https://doi.org/10.3126/nmsr.v37i1-2.34093
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