An Investigation of Parallel Post-Laminar Flow through Coarse Granular Porous Media with the Wilkins Equation

Abstract

Abstract:Behaviour of flow resistance with velocity is still undefined for post-laminar flow through coarse granular media. This can cause considerable errors during flow measurements in situations like rock fill dams, water filters, pumping wells, oil and gas exploration, and so on. Keeping the non-deviating nature of Wilkins coefficients with the hydraulic radius of media in mind, the present study further explores their behaviour to independently varying media size and porosity, subjected to parallel post-laminar flow through granular media. Furthermore, an attempt is made to simulate the post-laminar flow conditions with the help of a Computational Fluid Dynamic (CFD) Model in ANSYS FLUENT, since conducting large-scale experiments are often costly and time-consuming. The model output and the experimental results are found to be in good agreement. Percentage deviations between the experimental and numerical results are found to be in the considerable range. Furthermore, the simulation results are statistically validated with the experimental results using the standard 'Z-test'. The output from the model advocates the importance and applicability of CFD modelling in understanding post-laminar flow through granular media.

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

“…factor as a function of Reynolds number for water flow through packed of mono size packing. Ashes Banerjee et.al., [21] studied behaviour of flow resistance with velocity for post-laminar flow through coarse granular media. Ashes Banerjee et.al [22] developed a mathematical model which can be used to predict velocities corresponding to the specific hydraulic gradients for predefined media sizes and porosities.…”

Emerging Advances in Petrophysics: Porous Media Characterization and Modeling of Multiphase Flow

“…The behavior of flow resistance with velocity is still poorly defined for post-laminar flow through coarse granular media. Banerjee et al [16] investigated the effect of flow resistance on independently varying media size and porosity subjected to parallel post-laminar flow through granular media. They then simulated the post-laminar flow conditions with the help of a computational fluid dynamic model.…”