The Motion of Granular Flow in Rotating Viscometer and Rheological Parameters Calibration
Date Issued
2009
Date
2009
Author(s)
Sung, Li-Ming
Abstract
In this thesis we focus on the theory basic on the granular flow theory and compare with experimental data to obtain the characteristic of rheological parameters applying different material. In the theory analysis, first we adopted SH-theory and assumed Hydrological regime was fitted in with Long-wave theory. Second, the material characteristic is one kind of Mohr-Coulomb material and we used its characteristic to build constitutive relation. We normalized the equations and boundary conditions with scaling analysis. Finally, we used the momentum integral method to obtain the leading order solution. In this thesis, we adopted the experimental data provided from Liu and Chung (2008). We choose spherically artificial material which is better fitted in with scaling assumption and calibrated rheological parameters using this material. We set a series cases with changing the amount of material and using linear regression model and least square method to obtain the rheological parameters. We used perturbation and set the depth of granular flow as H to obtain the differential equation which is rheological relation. Finally we erased high order terms and left the solution of first order term. In this thesis, we calibrated the rheological parameters to put back to rheological relation and we could test the actual depth and estimated depth of granular flow. The maximum error is about in 25 percent and this consequence is acceptable. The theory is suitable to apply this experimental material.
Subjects
Rotating Viscometer
Granular flow
Rheological parameter
SH-theory
Mohr-Coulomb
Type
thesis
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