The Use of the Inverse Problem Methodology in Analysis of Fluid Flow Through Granular Beds With Non-Uniform Grain Sizes

Wojciech Sobieski

University of Warmia and Mazury

 Research fields:

• applications and development of numerical methods of mechanics
• investigations on the spatial structure of granular porous media
• investigations on fluid flows through porous media
• investigations on dynamics of fluidized beds
• investigations on the cavitation phenomenon in hydraulic systems
• investigations on water hammer in water rams
• investigations on bifurcation phenomena in flow systems
• investigations on heat diffusion in heterogeneous materials
• sensitivity analysis of mathematical models


https://orcid.org/0000-0003-1434-5520

Anna Trykozko




Abstract

The pressure drop during water flow through two gravel beds with 2-8 and 8-16 [mm] grain size was measured across a wide range of filtration velocities, and the optimal method for calculating the coefficients for Darcy’s law and Forchheimer’s law was selected. The laws and the experimental data were used to develop a computational program based on the Finite Element Method (FEM). The results were compared, and errors were analyzed to determine which law better describes flow data. Various methods of measuring porosity and average grain diameter, representative of the sample, were analyzed. The data were used to determine the limits of applicability of both laws. The study was motivated by the observation that computational formulas in the literature produce results that differ by several orders of magnitude, which significantly compromises their applicability. The present study is a continuation of our previous research into artificial granular materials with similarly sized particles. In our previous work, the results produced by analytical and numerical models were highly consistent with the experimental data. The aim of this study was to determine whether the inverse problem methodology can deliver equally reliable results in natural materials composed of large particles. The experimental data were presented in detail to facilitate the replication, reproduction and verification of all analyses and calculations.


Keywords:

granular media, reverse problem, Darcy, Forchheimer

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Published
2021-08-25

Cited by

Sobieski, W., & Trykozko, A. (2021). The Use of the Inverse Problem Methodology in Analysis of Fluid Flow Through Granular Beds With Non-Uniform Grain Sizes. Technical Sciences, 24(1), 83–104. https://doi.org/10.31648/ts.6772

Wojciech Sobieski 
University of Warmia and Mazury
<p>&nbsp;<span style="font-size: small;"><u>Research fields</u>:</span></p> <p>• applications and development of numerical methods of mechanics<br> • investigations on the spatial structure of granular porous media<br> • investigations on fluid flows through porous media<br> • investigations on dynamics of fluidized beds<br> • investigations on the cavitation phenomenon in hydraulic systems<br> • investigations on water hammer in water rams<br> • investigations on bifurcation phenomena in flow systems<br> • investigations on heat diffusion in heterogeneous materials<br> • sensitivity analysis of mathematical models</p>  Poland
https://orcid.org/0000-0003-1434-5520

 Research fields:

• applications and development of numerical methods of mechanics
• investigations on the spatial structure of granular porous media
• investigations on fluid flows through porous media
• investigations on dynamics of fluidized beds
• investigations on the cavitation phenomenon in hydraulic systems
• investigations on water hammer in water rams
• investigations on bifurcation phenomena in flow systems
• investigations on heat diffusion in heterogeneous materials
• sensitivity analysis of mathematical models


Anna Trykozko 




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